138389781376000
138,389,781,376,000 is an even composite number composed of seven prime numbers multiplied together.
138389781376000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138389781376000:
210 × 53 × 7 × 11 × 19 × 312 × 769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 19 × 31 × 31 × 769)See below for interesting mathematical facts about the number 138389781376000 from the Numbermatics database.
Names of 138389781376000
- Cardinal: 138389781376000 can be written as One hundred thirty-eight trillion, three hundred eighty-nine billion, seven hundred eighty-one million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38389781376 × 1014
Factors of 138389781376000
Divisors of 138389781376000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 31 32 35 38 40 44 50 55 56 62 64 70 76 77 80 88 95 100 110 112 124 125 128 133 140 152 154 155 160 175 176 190 200 209 217 220 224 248 250 256 266 275 280 304 308 310 320 341 350 352 380 385 400 418 434 440 448 475 496 500 512 532 550 560 589 608 616 620 640 665 682 700 704 760 769 770 775 800 836 868 875 880 896 950 961 992 1000 1024 1045 1064 1085 1100 1120 1178 1216 1232 1240 1280 1330 1364 1375 1400 1408 1463 1520 1538 1540 1550 1600 1672 1705 1736 1750 1760 1792 1900 1922 1925 1984 2000 2090 2128 2170 2200 2240 2356 2375 2387 2432 2464 2480 2560 2660 2728 2750 2800 2816 2926 2945 3040 3076 3080 3100 3200 3325 3344 3410 3472 3500 3520 3584 3800 3844 3845 3850 3875 3968 4000 4123 4180 4256 4340 4400 4480 4712 4750 4774 4805 4864 4928 4960 5120 5225 5320 5383 5425 5456 5500 5600 5632 5852 5890 6080 6152 6160 6200 6400 6479 6650 6688 6727 6820 6944 7000 7040 7168 7315 7600 7688 7690 7700 7750 7936 8000 8246 8360 8459 8512 8525 8680 8800 8960 9424 9500 9548 9610 9625 9728 9856 9920 10450 10571 10640 10766 10850 10912 11000 11200 11264 11704 11780 11935 12160 12304 12320 12400 12800 12958 13300 13376 13454 13640 13888 14000 14080 14611 14630 14725 15200 15376 15380 15400 15500 15872 16000 16492 16625 16720 16918 17024 17050 17360 17600 17920 18259 18848 19000 19096 19220 19225 19250 19456 19712 19840 20615 20900 21142 21280 21532 21700 21824 22000 22400 23408 23560 23839 23870 24025 24320 24608 24640 24800 25600 25916 26125 26600 26752 26908 26915 27125 27280 27776 28000 28160 29222 29260 29450 30400 30752 30760 30800 31000 31744 32000 32395 32984 33250 33440 33635 33836 34048 34100 34720 35200 35840 36518 36575 37696 38000 38192 38440 38450 38500 39424 39680 41230 41800 42284 42295 42560 42625 43064 43400 43648 44000 44800 45353 46816 47120 47678 47740 48050 48640 49216 49280 49600 51832 52250 52855 53200 53504 53816 53830 54250 54560 55552 56000 56320 58444 58520 58900 59213 59675 60800 61504 61520 61600 62000 64000 64790 65968 66500 66880 67270 67672 68096 68200 69440 70400 73036 73055 73150 73625 73997 75392 76000 76384 76880 76900 77000 78848 79360 82460 83600 84568 84590 85120 85250 86128 86800 87296 88000 89600 90706 91295 93632 94240 95356 95480 96100 96125 97280 98432 98560 99200 102277 103075 103664 104500 105710 106400 107008 107632 107660 108500 109120 111104 112000 116888 117040 117800 118426 119195 119350 120125 121600 123008 123040 123200 124000 127813 128000 129580 131936 133000 133760 134540 134575 135344 136192 136400 138880 140800 146072 146110 146300 147250 147994 150784 152000 152768 153760 153800 154000 158720 160721 161975 164920 166873 167200 168175 169136 169180 170240 170500 172256 173600 174592 176000 179200 181412 182590 182875 187264 188480 190712 190960 192200 192250 196864 197120 198400 200849 204554 206150 207328 209000 211420 211475 212800 214016 215264 215320 217000 218240 222208 224000 226765 233776 234080 235600 236852 238390 238700 240250 243200 246016 246080 246400 248000 255626 259160 262229 263872 264275 266000 267520 269080 269150 270688 272800 277760 281600 292144 292220 292600 294500 295988 296065 298375 301568 304000 305536 307520 307600 308000 321442 323950 329840 333746 334400 336350 338272 338360 340480 341000 344512 347200 349184 352000 362824 365180 365275 365750 369985 374528 376960 381424 381920 384400 384500 393728 394240 396800 401698 409108 412300 414656 418000 422840 422950 425600 430528 430640 434000 436480 448000 452941 453530 456475 467552 468160 471200 473704 476780 477400 480500 486400 492032 492160 492800 496000 511252 511385 515375 518320 524458 527744 528550 532000 535040 538160 538300 541376 545600 555520 584288 584440 585200 589000 591976 592130 595975 596750 603136 608000 611072 615040 615200 616000 639065 642884 647900 659680 667492 668800 672700 672875 676544 676720 680960 682000 689024 694400 704000 725648 730360 730550 731500 739009 739970 749056 753920 762848 763840 768800 769000 787456 793600 803396 803605 809875 818216 824600 829312 834365 836000 840875 845680 845900 851200 861056 861280 868000 872960 896000 905882 907060 912950 935104 936320 942400 947408 953560 954800 961000 984064 984320 985600 992000 1004245 1022504 1022770 1030750 1036640 1048916 1055488 1057100 1057375 1064000 1070080 1076320 1076600 1082752 1091200 1111040 1125047 1133825 1168576 1168880 1170400 1178000 1183952 1184260 1191950 1193500 1216000 1222144 1230080 1230400 1232000 1278130 1285768 1295800 1311145 1319360 1321375 1334984 1337600 1345400 1345750 1353088 1353440 1364000 1378048 1388800 1405943 1408000 1451296 1460720 1461100 1463000 1478018 1479940 1480325 1498112 1507840 1525696 1527680 1537600 1538000 1606792 1607210 1619750 1636432 1649200 1658624 1668730 1672000 1681750 1691360 1691800 1702400 1722112 1722560 1736000 1745920 1811764 1814120 1825900 1826375 1835603 1849925 1870208 1872640 1884800 1894816 1907120 1909600 1922000 1968640 1971200 1984000 2008490 2045008 2045540 2061500 2073280 2097832 2110976 2114200 2114750 2128000 2152640 2153200 2165504 2182400 2250094 2264705 2267650 2282375 2337152 2337760 2340800 2356000 2367904 2368520 2383900 2387000 2432000 2444288 2460160 2460800 2464000 2556260 2556925 2571536 2591600 2622290 2638720 2642750 2669968 2675200 2690800 2691500 2706176 2706880 2728000 2756096 2777600 2811886 2902592 2921440 2922200 2926000 2956036 2959880 2960650 2979875 3015680 3051392 3055360 3075200 3076000 3170587 3195325 3213584 3214420 3239500 3272864 3298400 3317248 3337460 3344000 3363500 3382720 3383600 3404800 3444224 3445120 3472000 3623528 3628240 3651800 3652750 3671206 3695045 3699850 3740416 3745280 3769600 3789632 3814240 3819200 3844000 3937280 3968000 4016980 4018025 4090016 4091080 4123000 4146560 4171825 4195664 4221952 4228400 4229500 4256000 4305280 4306400 4331008 4364800 4500188 4529410 4535300 4564750 4674304 4675520 4681600 4712000 4735808 4737040 4767800 4774000 4920320 4921600 4928000 4982351 5021225 5112520 5113850 5143072 5173063 5183200 5244580 5277440 5285500 5339936 5350400 5381600 5383000 5412352 5413760 5456000 5512192 5555200 5623772 5625235 5669125 5805184 5842880 5844400 5852000 5912072 5919760 5921300 5959750 6102784 6110720 6150400 6152000 6341174 6390650 6427168 6428840 6479000 6545728 6555725 6596800 6634496 6674920 6688000 6727000 6765440 6767200 6888448 6890240 6944000 7029715 7247056 7256480 7303600 7305500 7342412 7390090 7399700 7401625 7480832 7490560 7539200 7579264 7628480 7638400 7688000 8033960 8036050 8129099 8180032 8182160 8246000 8293120 8343650 8391328 8456800 8459000 8512000 8610560 8612800 8662016 8729600 9000376 9058820 9070600 9129500 9178015 9249625 9348608 9351040 9363200 9424000 9471616 9474080 9535600 9548000 9843200 9856000 9964702 10042450 10225040 10227700 10286144 10346126 10366400 10489160 10554880 10571000 10679872 10763200 10766000 10824704 10827520 10912000 11247544 11250470 11323525 11338250 11610368 11685760 11688800 11704000 11824144 11839520 11842600 11919500 12205568 12221440 12300800 12304000 12682348 12781300 12784625 12854336 12857680 12958000 13091456 13111450 13193600 13349840 13376000 13454000 13530880 13534400 13780480 13888000 14041171 14059430 14494112 14512960 14607200 14611000 14684824 14780180 14799400 14803250 14961664 15078400 15158528 15256960 15276800 15376000 15852935 15976625 16067920 16072100 16258198 16360064 16364320 16492000 16586240 16687300 16782656 16913600 16918000 17024000 17221120 17225600 18000752 18117640 18141200 18259000 18356030 18475225 18499250 18697216 18702080 18726400 18848000 18943232 18948160 19071200 19096000 19686400 19929404 20084900 20090125 20450080 20455400 20572288 20692252 20732800 20859125 20978320 21109760 21142000 21359744 21526400 21532000 21655040 21824000 22495088 22500940 22647050 22676500 23220736 23371520 23377600 23408000 23648288 23679040 23685200 23839000 24411136 24601600 24608000 24911755 25106125 25364696 25562600 25569250 25708672 25715360 25865315 25916000 26182912 26222900 26387200 26699680 26752000 26908000 27061760 27068800 27560960 27776000 28082342 28118860 28126175 28988224 29025920 29214400 29222000 29369648 29560360 29598800 29606500 30317056 30513920 30553600 30752000 31705870 31953250 32135840 32144200 32516396 32720128 32728640 32778625 32984000 33172480 33374600 33565312 33827200 33836000 34442240 34451200 34876457 35148575 36001504 36235280 36282400 36518000 36712060 36950450 36998500 37404160 37452800 37696000 37886464 37896320 38142400 38192000 39858808 40169800 40180250 40645495 40900160 40910800 41144576 41384504 41465600 41718250 41956640 42284000 42719488 43052800 43064000 43310080 43648000 44990176 45001880 45294100 45353000 45890075 46441472 46743040 46755200 46816000 47296576 47358080 47370400 47678000 49216000 49823510 50212250 50729392 51125200 51138500 51417344 51430720 51730630 51832000 52365824 52445800 52774400 53399360 53816000 54123520 54137600 56164684 56237720 56252350 56617625 56903693 57976448 58051840 58428800 58444000 58739296 59120720 59197600 59213000 60634112 61027840 61107200 61504000 63411740 63906500 64271680 64288400 65032792 65440256 65457280 65557250 65968000 66749200 67130624 67654400 67672000 68902400 69752914 70205855 70297150 72003008 72470560 72564800 73036000 73424120 73900900 73997000 74808320 75392000 75772928 75792640 76284800 76384000 79264675 79717616 80339600 80360500 81290990 81800320 81821600 82289152 82769008 82931200 83436500 83913280 84568000 85438976 86105600 86128000 89980352 90003760 90588200 90706000 91780150 92376125 93486080 93510400 93632000 94593152 94716160 94740800 95356000 98288197 98432000 99647020 100424500 101458784 102250400 102277000 102834688 102861440 103461260 103664000 104731648 104891600 105548800 106798720 107632000 108275200 112329368 112475440 112504700 113235250 113807386 115952896 116103680 116857600 116888000 117478592 118241440 118395200 118426000 122055680 123008000 124558775 126823480 127813000 128543360 128576800 129326575 130065584 130880512 130914560 131114500 131936000 133498400 134261248 135308800 135344000 137804800 139505828 140411710 140594300 140630875 144006016 144941120 145129600 146072000 146848240 147801800 147994000 151585280 152569600 152768000 154452881 158529350 159435232 160679200 160721000 162581980 163600640 163643200 164578304 165538016 165862400 166873000 167826560 169136000 170877952 172211200 172256000 174382285 175742875 179960704 180007520 181176400 181412000 183560300 184752250 187020800 187264000 189186304 189432320 189481600 190712000 196576394 199294040 200849000 202917568 203227475 204500800 204554000 205669376 205722880 206922520 207328000 209783200 213597440 215264000 216550400 224658736 224950880 225009400 226470500 227614772 229450375 231905792 232207360 233715200 233776000 234957184 236482880 236790400 236852000 249117550 253646960 255626000 257086720 257153600 258653150 260131168 261829120 262229000 263872000 266996800 268522496 270617600 270688000 279011656 280823420 281188600 281261750 284518465 288012032 289882240 290259200 292144000 293696480 295603600 295988000 303170560 305139200 305536000 308905762 317058700 318870464 321358400 321442000 325163960 327201280 327286400 331076032 333746000 335653120 338272000 344512000 348764570 351029275 351485750 359921408 360015040 362352800 362824000 367120600 369504500 374041600 378372608 378864640 378963200 381424000 393152788 396323375 398588080 401698000 405835136 406454950 409001600 409108000 411445760 413845040 414656000 419566400 427194880 430528000 449317472 449901760 450018800 452941000 455229544 458900750 463811584 467430400 467552000 469914368 472965760 473580800 473704000 491440985 498235100 507293920 511252000 514173440 514307200 517306300 520262336 523658240 524458000 527744000 533993600 541376000 558023312 561646840 562377200 562523500 569036930 576024064 579764480 580518400 584288000 587392960 591207200 591976000 610278400 617811524 622793875 634117400 637740928 642716800 642884000 646632875 650327920 654402560 654572800 662152064 667492000 671306240 676544000 689024000 697529140 702058550 702971500 719842816 720030080 724705600 725648000 734241200 739009000 756745216 757926400 762848000 772264405 786305576 792646750 797176160 803396000 811670272 812909900 818003200 818216000 822891520 827690080 829312000 839132800 854389760 861056000 871911425 898634944 899803520 900037600 905882000 910459088 917801500 935104000 939828736 945931520 947161600 947408000 982881970 996470200 1014587840 1016137375 1022504000 1028346880 1028614400 1034612600 1040524672 1048916000 1067987200 1081170167 1082752000 1116046624 1123293680 1124754400 1125047000 1138073860 1152048128 1159528960 1161036800 1168576000 1174785920 1182414400 1183952000 1235623048 1245587750 1268234800 1275481856 1285433600 1285768000 1293265750 1300655840 1309145600 1324304128 1334984000 1342612480 1353088000 1395058280 1404117100 1405943000 1422592325 1439685632 1440060160 1449411200 1451296000 1468482400 1478018000 1515852800 1525696000 1544528810 1572611152 1585293500 1594352320 1606792000 1623340544 1625819800 1636006400 1636432000 1655380160 1678265600 1743822850 1755146375 1797269888 1799607040 1800075200 1811764000 1820918176 1835603000 1870208000 1879657472 1891863040 1894323200 1894816000 1965763940 1992940400 2029175680 2032274750 2045008000 2057228800 2069225200 2081049344 2097832000 2135974400 2162340334 2232093248 2246587360 2249508800 2250094000 2276147720 2319057920 2337152000 2349571840 2364828800 2367904000 2457204925 2471246096 2491175500 2536469600 2550963712 2570867200 2571536000 2586531500 2601311680 2618291200 2648608256 2669968000 2790116560 2808234200 2811886000 2845184650 2880120320 2898822400 2902592000 2936964800 2956036000 3051392000 3089057620 3145222304 3170587000 3188704640 3213584000 3246681088 3251639600 3272012800 3272864000 3310760320 3356531200 3487645700 3510292750 3594539776 3599214080 3600150400 3623528000 3641836352 3671206000 3783726080 3789632000 3861322025 3931527880 3985880800 4058351360 4064549500 4090016000 4114457600 4138450400 4162098688 4195664000 4271948800 4324680668 4359557125 4464186496 4493174720 4499017600 4500188000 4552295440 4699143680 4729657600 4735808000 4914409850 4942492192 4982351000 5072939200 5101927424 5141734400 5143072000 5173063000 5202623360 5297216512 5339936000 5405850835 5580233120 5616468400 5623772000 5690369300 5760240640 5797644800 5805184000 5873929600 5912072000 6178115240 6290444608 6341174000 6377409280 6427168000 6503279200 6545728000 6621520640 6713062400 6975291400 7020585500 7112961625 7189079552 7198428160 7200300800 7247056000 7283672704 7342412000 7579264000 7722644050 7863055760 7971761600 8116702720 8129099000 8180032000 8276900800 8324197376 8391328000 8649361336 8719114250 8928372992 8986349440 8998035200 9000376000 9104590880 9398287360 9459315200 9471616000 9828819700 9884984384 9964702000 10145878400 10286144000 10346126000 10405246720 10679872000 10811701670 11160466240 11232936800 11247544000 11380738600 11595289600 11747859200 11824144000 12286024625 12356230480 12580889216 12682348000 12754818560 12854336000 13006558400 13091456000 13243041280 13950582800 14041171000 14225923250 14378159104 14400601600 14494112000 14567345408 14684824000 15445288100 15726111520 15943523200 16233405440 16258198000 16360064000 16553801600 16782656000 17298722672 17438228500 17856745984 17972698880 17996070400 18000752000 18209181760 18918630400 19306610125 19657639400 19769968768 19929404000 20291756800 20572288000 20692252000 20810493440 21359744000 21623403340 22320932480 22465873600 22495088000 22761477200 23495718400 23648288000 24572049250 24712460960 25161778432 25364696000 25509637120 25708672000 26013116800 26486082560 27029254175 27901165600 28082342000 28451846500 28801203200 28988224000 29134690816 29369648000 30890576200 31452223040 31887046400 32516396000 33107603200 33565312000 34597445344 34876457000 35713491968 35945397760 35992140800 36001504000 36418363520 38613220250 39315278800 39539937536 39858808000 40583513600 41384504000 41620986880 43246806680 44641864960 44931747200 44990176000 45522954400 46991436800 47296576000 49144098500 49424921920 50323556864 50729392000 52026233600 54058508350 55802331200 56164684000 56903693000 57976448000 58269381632 58739296000 61781152400 62904446080 63774092800 65032792000 66215206400 69194890688 69752914000 71890795520 72003008000 72836727040 77226440500 78630557600 79079875072 79717616000 81167027200 82769008000 86493613360 89283729920 89863494400 89980352000 91045908800 94593152000 98288197000 98849843840 100647113728 101458784000 104052467200 108117016700 111604662400 112329368000 113807386000 117478592000 123562304800 125808892160 127548185600 130065584000 132430412800 135146270875 138389781376 139505828000 144006016000 145673454080 154452881000 157261115200 158159750144 159435232000 165538016000 172987226720 178567459840 179726988800 179960704000 182091817600 196576394000 197699687680 202917568000 208104934400 216234033400 223209324800 224658736000 227614772000 234957184000 247124609600 251617784320 260131168000 270292541750 276779562752 279011656000 291346908160 308905762000 314522230400 318870464000 331076032000 345974453440 359453977600 364183635200 393152788000 395399375360 405835136000 432468066800 446418649600 449317472000 455229544000 494249219200 503235568640 520262336000 540585083500 553559125504 558023312000 617811524000 629044460800 637740928000 662152064000 691948906880 728367270400 786305576000 790798750720 864936133600 892837299200 898634944000 910459088000 988498438400 1040524672000 1081170167000 1107118251008 1116046624000 1235623048000 1258088921600 1383897813760 1456734540800 1572611152000 1729872267200 1797269888000 1820918176000 1976996876800 2162340334000 2232093248000 2471246096000 2516177843200 2767795627520 3145222304000 3459744534400 3641836352000 3953993753600 4324680668000 4464186496000 4942492192000 5535591255040 6290444608000 6919489068800 7283672704000 8649361336000 9884984384000 12580889216000 13838978137600 17298722672000 19769968768000 27677956275200 34597445344000 69194890688000 138389781376000
- Sum of all divisors σ(n): 468795725798400
- Sum of proper divisors (its aliquot sum) s(n): 330405944422400
- 138389781376000 is an abundant number, because the sum of its proper divisors (330405944422400) is greater than itself. Its abundance is 192016163046400
Bases of 138389781376000
- Binary: 111110111011101011000011100001001101100000000002
- Hexadecimal: 0x7DDD61C26C00
- Base-36: 1D1ZDYPO1S
Squares and roots of 138389781376000
- 138389781376000 squared (1383897813760002) is 19151731589297076453376000000
- 138389781376000 cubed (1383897813760003) is 2650403947614655431898662097125376000000000
-
The
square root of 138389781376000 is 11763918.6233159569 -
The
cube root of 138389781376000 is 51725.1002527435
Scales and comparisons
How big is 138389781376000?- 138,389,781,376,000 seconds is equal to 4,400,366 years, 50 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,389,781,376,000 would take you about eleven million, nine hundred seventeen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138389781376000 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138389781376000
- 138389781376000 backwards is 000673187983831
- 138389781376000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138389781376000's digits is 64
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138389781376000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 138389781376000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138389781376000/
Chicago style:
Numbermatics. 2024. "Number 138389781376000 - Facts about the integer". https://numbermatics.com/n/138389781376000/
The information we have on file for 138389781376000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138389781376000, math, Factors of 138389781376000, curriculum, school, college, exams, university, Prime factorization of 138389781376000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty-nine billion, seven hundred eighty-one million, three hundred seventy-six thousand.