138349055116800
138,349,055,116,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138349055116800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
138349055116800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138349055116800:
29 × 33 × 52 × 113 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 67 × 67 × 67)See below for interesting mathematical facts about the number 138349055116800 from the Numbermatics database.
Names of 138349055116800
- Cardinal: 138349055116800 can be written as One hundred thirty-eight trillion, three hundred forty-nine billion, fifty-five million, one hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383490551168 × 1014
Factors of 138349055116800
Divisors of 138349055116800
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 67 72 75 80 88 90 96 99 100 108 110 120 121 128 132 134 135 144 150 160 165 176 180 192 198 200 201 216 220 225 240 242 256 264 268 270 275 288 297 300 320 330 335 352 360 363 384 396 400 402 432 440 450 480 484 495 512 528 536 540 550 576 594 600 603 605 640 660 670 675 704 720 726 737 768 792 800 804 825 864 880 900 960 968 990 1005 1056 1072 1080 1089 1100 1152 1188 1200 1206 1210 1280 1320 1331 1340 1350 1408 1440 1452 1474 1485 1536 1584 1600 1608 1650 1675 1728 1760 1800 1809 1815 1920 1936 1980 2010 2112 2144 2160 2178 2200 2211 2304 2376 2400 2412 2420 2475 2560 2640 2662 2680 2700 2816 2880 2904 2948 2970 3015 3025 3168 3200 3216 3267 3300 3350 3456 3520 3600 3618 3630 3685 3840 3872 3960 3993 4020 4224 4288 4320 4356 4400 4422 4489 4608 4752 4800 4824 4840 4950 5025 5280 5324 5360 5400 5445 5632 5760 5808 5896 5940 6030 6050 6336 6400 6432 6534 6600 6633 6655 6700 6912 7040 7200 7236 7260 7370 7425 7680 7744 7920 7986 8040 8107 8448 8576 8640 8712 8800 8844 8978 9045 9075 9504 9600 9648 9680 9900 10050 10560 10648 10720 10800 10890 11055 11520 11616 11792 11880 11979 12060 12100 12672 12800 12864 13068 13200 13266 13310 13400 13467 13824 14080 14400 14472 14520 14740 14850 15075 15488 15840 15972 16080 16214 16335 16896 17152 17280 17424 17600 17688 17956 18090 18150 18425 19008 19200 19296 19360 19800 19899 19965 20100 21120 21296 21440 21600 21780 22110 22445 23040 23232 23584 23760 23958 24120 24200 24321 25344 25728 26136 26400 26532 26620 26800 26934 27225 28160 28800 28944 29040 29480 29700 30150 30976 31680 31944 32160 32428 32670 33165 33275 34304 34560 34848 35200 35376 35912 35937 36180 36300 36850 38016 38400 38592 38720 39600 39798 39930 40200 40401 40535 42240 42592 42880 43200 43560 44220 44890 45225 46464 47168 47520 47916 48240 48400 48642 49379 50688 51456 52272 52800 53064 53240 53600 53868 54450 55275 57600 57888 58080 58960 59400 59895 60300 61952 63360 63888 64320 64856 65340 66330 66550 67335 69120 69696 70400 70752 71824 71874 72360 72600 72963 73700 76032 77184 77440 79200 79596 79860 80400 80802 81070 81675 84480 85184 85760 86400 87120 88440 89177 89780 90450 92928 94336 95040 95832 96480 96800 97284 98758 99495 99825 102912 104544 105600 106128 106480 107200 107736 108900 110550 112225 115200 115776 116160 117920 118800 119790 120600 121203 121605 126720 127776 128640 129712 130680 132660 133100 134670 139392 140800 141504 143648 143748 144720 145200 145926 147400 148137 152064 154368 154880 158400 159192 159720 160800 161604 162140 163350 165825 170368 171520 172800 174240 176880 178354 179560 179685 180900 185856 188672 190080 191664 192960 193600 194568 197516 198990 199650 202005 202675 209088 211200 212256 212960 214400 215472 217800 218889 221100 224450 231552 232320 235840 237600 239580 241200 242406 243210 246895 253440 255552 257280 259424 261360 265320 266200 267531 269340 278784 283008 287296 287496 289440 290400 291852 294800 296274 299475 300763 308736 309760 316800 318384 319440 321600 323208 324280 326700 331650 336675 340736 345600 348480 353760 356708 359120 359370 361800 364815 377344 380160 383328 385920 387200 389136 395032 397980 399300 404010 405350 418176 422400 424512 425920 428800 430944 435600 437778 442200 444411 445885 448900 463104 464640 471680 475200 479160 482400 484812 486420 493790 497475 511104 514560 518848 522720 530640 532400 535062 538680 543169 557568 566016 574592 574992 578880 580800 583704 589600 592548 598950 601526 606015 608025 633600 636768 638880 643200 646416 648560 653400 663300 673350 681472 696960 707520 713416 718240 718740 723600 729630 740685 760320 766656 771840 774400 778272 790064 795960 798600 802593 808020 810700 836352 849024 851840 857600 861888 871200 875556 884400 888822 891770 897800 898425 902289 926208 929280 943360 950400 958320 964800 969624 972840 987580 994950 1010025 1022208 1037696 1045440 1061280 1064800 1070124 1077360 1086338 1094445 1132032 1149184 1149984 1157760 1161600 1167408 1179200 1185096 1197900 1203052 1212030 1216050 1234475 1267200 1273536 1277760 1286400 1292832 1297120 1306800 1326600 1333233 1337655 1346700 1393920 1415040 1426832 1436480 1437480 1447200 1459260 1481370 1503815 1533312 1543680 1548800 1556544 1580128 1591920 1597200 1605186 1616040 1621400 1629507 1672704 1698048 1703680 1723776 1742400 1751112 1768800 1777644 1783540 1795600 1796850 1804578 1824075 1886720 1900800 1916640 1929600 1939248 1945680 1975160 1989900 2020050 2044416 2075392 2090880 2122560 2129600 2140248 2154720 2172676 2188890 2222055 2229425 2298368 2299968 2315520 2323200 2334816 2358400 2370192 2395800 2406104 2407779 2424060 2432100 2468950 2547072 2555520 2572800 2585664 2594240 2613600 2653200 2666466 2675310 2693400 2706867 2715845 2787840 2830080 2853664 2872960 2874960 2894400 2918520 2962740 3007630 3030075 3066624 3113088 3160256 3183840 3194400 3210372 3232080 3242800 3259014 3308393 3396096 3407360 3447552 3484800 3502224 3537600 3555288 3567080 3591200 3593700 3609156 3648150 3703425 3801600 3833280 3859200 3878496 3891360 3950320 3979800 4012965 4040100 4150784 4181760 4245120 4259200 4280496 4309440 4345352 4377780 4444110 4458850 4511445 4599936 4631040 4646400 4669632 4716800 4740384 4791600 4812208 4815558 4848120 4864200 4888521 4937900 5094144 5111040 5171328 5188480 5227200 5306400 5332932 5350620 5386800 5413734 5431690 5472225 5660160 5707328 5745920 5749920 5788800 5837040 5925480 5974859 6015260 6060150 6133248 6226176 6320512 6367680 6388800 6420744 6464160 6485600 6518028 6616786 6666165 6688275 6895104 6969600 7004448 7075200 7110576 7134160 7182400 7187400 7218312 7296300 7406850 7519075 7666560 7718400 7756992 7782720 7900640 7959600 8025930 8080200 8120601 8147535 8363520 8490240 8518400 8560992 8618880 8690704 8755560 8888220 8917700 9022890 9199872 9339264 9433600 9480768 9583200 9624416 9631116 9696240 9728400 9777042 9875800 9925179 10188288 10222080 10342656 10376960 10454400 10612800 10665864 10701240 10773600 10827468 10863380 10944450 11110275 11414656 11491840 11499840 11577600 11674080 11850960 11949718 12030520 12038895 12120300 12452352 12641024 12735360 12777600 12841488 12928320 12971200 13036056 13233572 13332330 13376550 13534335 13579225 13939200 14008896 14150400 14221152 14268320 14364800 14374800 14436624 14592600 14665563 14813700 15038150 15333120 15513984 15565440 15801280 15919200 16051860 16160400 16241202 16295070 16541965 16980480 17036800 17121984 17237760 17381408 17511120 17776440 17835400 17924577 18045780 18399744 18678528 18961536 19166400 19248832 19262232 19392480 19456800 19554084 19751600 19850358 20064825 20685312 20753920 20908800 21225600 21331728 21402480 21547200 21654936 21726760 21888900 22220550 22557225 22829312 22999680 23155200 23348160 23701920 23899436 24061040 24077790 24240600 24442605 25282048 25470720 25555200 25682976 25856640 25942400 26072112 26467144 26664660 26753100 27068670 27158450 28017792 28300800 28442304 28536640 28729600 28749600 28873248 29185200 29331126 29627400 29775537 29874295 30076300 30666240 31027968 31130880 31602560 31838400 32103720 32320800 32482404 32590140 33083930 33330825 34243968 34475520 34762816 35022240 35552880 35670800 35849154 36091560 36392323 37357056 37923072 38332800 38497664 38524464 38784960 38913600 39108168 39503200 39700716 40129650 40603005 40737675 41817600 42451200 42663456 42804960 43094400 43309872 43453520 43777800 44441100 45114450 45658624 45999360 46696320 47403840 47798872 48122080 48155580 48481200 48885210 49625895 50941440 51110400 51365952 51713280 51884800 52144224 52934288 53329320 53506200 53773731 54137340 54316900 56035584 56884608 57073280 57459200 57499200 57746496 58370400 58662252 59254800 59551074 59748590 60152600 60194475 62055936 62261760 63205120 63676800 64207440 64641600 64964808 65180280 66167860 66661650 67671675 68487936 69525632 70044480 71105760 71341600 71698308 72183120 72784646 73327815 75846144 76665600 76995328 77048928 77569920 77827200 78216336 79006400 79401432 80259300 81206010 81475350 82709825 84902400 85326912 85609920 86188800 86619744 86907040 87555600 88882200 89326611 89622885 90228900 91998720 93392640 94807680 95597744 96244160 96311160 96962400 97770420 99251790 102731904 103426560 103769600 104288448 105868576 106658640 107012400 107547462 108274680 108633800 109176969 112071168 113769216 114146560 114998400 115492992 116740800 117324504 118509600 119102148 119497180 120305200 120388950 122213025 126410240 127353600 128414880 129283200 129929616 130360560 132335720 133323300 135343350 136975872 139051264 140088960 142211520 142683200 143396616 144366240 145569292 146655630 148877685 149371475 153331200 153990656 154097856 155139840 155654400 156432672 158012800 158802864 160518600 161321193 162412020 162950700 165419650 170653824 171219840 172377600 173239488 173814080 175111200 177764400 178653222 179245770 180457800 181961615 186785280 189615360 191195488 192488320 192622320 193924800 195540840 198503580 203015025 205463808 208576896 211737152 213317280 214024800 215094924 216549360 217267600 218353938 227538432 228293120 229996800 230985984 233481600 234649008 237019200 238204296 238994360 240610400 240777900 244426050 248129475 254707200 256829760 258566400 259859232 260721120 264671440 266646600 268868655 270686700 278102528 280177920 284423040 285366400 286793232 288732480 291138584 293311260 297755370 298742950 308195712 310279680 311308800 312865344 316025600 317605728 321037200 322642386 324824040 325901400 327530907 330839300 341307648 342439680 346478976 347628160 350222400 355528800 357306444 358491540 360915600 363923230 366639075 379230720 382390976 384976640 385244640 387849600 391081680 397007160 400315553 406030050 410927616 417153792 423474304 426634560 428049600 430189848 433098720 434535200 436707876 446633055 448114425 459993600 461971968 466963200 469298016 474038400 476408592 477988720 481220800 481555800 488852100 496258950 513659520 517132800 519718464 521442240 529342880 533293200 537737310 541373400 545884845 560355840 568846080 570732800 573586464 577464960 582277168 586622520 595510740 597485900 616391424 625730688 632051200 635211456 642074400 645284772 649648080 651802800 655061814 661678600 682615296 684879360 692957952 695256320 700444800 711057600 714612888 716983080 721831200 727846460 733278150 744388425 764781952 769953280 770489280 775699200 782163360 794014320 800631106 806605965 812060100 834307584 846948608 853269120 856099200 860379696 866197440 869070400 873415752 893266110 896228850 909808075 933926400 938596032 948076800 952817184 955977440 962441600 963111600 977704200 982592721 992517900 1027319040 1039436928 1042884480 1058685760 1066586400 1075474620 1082746800 1091769690 1137692160 1141465600 1147172928 1154929920 1164554336 1173245040 1191021480 1194971800 1200946659 1232782848 1251461376 1270422912 1284148800 1290569544 1299296160 1303605600 1310123628 1323357200 1344343275 1385915904 1390512640 1400889600 1422115200 1429225776 1433966160 1443662400 1455692920 1466556300 1488776850 1529563904 1540978560 1551398400 1564326720 1588028640 1601262212 1613211930 1624120200 1637654535 1693897216 1706538240 1712198400 1720759392 1732394880 1738140800 1746831504 1786532220 1792457700 1819616150 1877192064 1896153600 1905634368 1911954880 1924883200 1926223200 1955408400 1965185442 1985035800 2001577765 2054638080 2078873856 2085768960 2117371520 2133172800 2150949240 2165493600 2183539380 2233165275 2294345856 2309859840 2329108672 2346490080 2382042960 2389943600 2401893318 2502922752 2540845824 2568297600 2581139088 2598592320 2607211200 2620247256 2646714400 2688686550 2729424225 2801779200 2844230400 2858451552 2867932320 2887324800 2911385840 2933112600 2977553700 3059127808 3081957120 3128653440 3176057280 3202524424 3226423860 3248240400 3275309070 3413076480 3424396800 3441518784 3464789760 3476281600 3493663008 3573064440 3584915400 3602839977 3639232300 3754384128 3811268736 3823909760 3849766400 3852446400 3910816800 3930370884 3970071600 4003155530 4033029825 4157747712 4171537920 4234743040 4266345600 4301898480 4330987200 4367078760 4466330550 4588691712 4658217344 4692980160 4764085920 4779887200 4803786636 4912963605 5081691648 5136595200 5162278176 5197184640 5214422400 5240494512 5293428800 5377373100 5458848450 5688460800 5716903104 5735864640 5774649600 5822771680 5866225200 5955107400 6004733295 6163914240 6257306880 6352114560 6405048848 6452847720 6496480800 6550618140 6883037568 6929579520 6952563200 6987326016 7146128880 7169830800 7205679954 7278464600 7508768256 7622537472 7647819520 7704892800 7821633600 7860741768 7940143200 8006311060 8066059650 8188272675 8469486080 8532691200 8603796960 8661974400 8734157520 8932661100 9177383424 9316434688 9385960320 9528171840 9559774400 9607573272 9825927210 10007888825 10273190400 10324556352 10394369280 10428844800 10480989024 10586857600 10754746200 10808519931 10917696900 11433806208 11471729280 11549299200 11645543360 11732450400 11910214800 12009466590 12514613760 12704229120 12810097696 12905695440 12992961600 13101236280 13766075136 13974652032 14292257760 14339661600 14411359908 14556929200 15245074944 15295639040 15409785600 15643267200 15721483536 15880286400 16012622120 16132119300 16376545350 17065382400 17207593920 17323948800 17468315040 17865322200 18014199885 18632869376 18771920640 19056343680 19119548800 19215146544 19651854420 20015777650 20649112704 20788738560 20857689600 20961978048 21173715200 21509492400 21617039862 21835393800 22867612416 22943458560 23291086720 23464900800 23820429600 24018933180 24564818025 25408458240 25620195392 25811390880 25985923200 26202472560 27532150272 27949304064 28584515520 28679323200 28822719816 29113858400 30023666475 30819571200 31286534400 31442967072 31760572800 32025244240 32264238600 32753090700 34415187840 34647897600 34936630080 35730644400 36028399770 37543841280 38112687360 38239097600 38430293088 39303708840 40031555300 41298225408 41923956096 42347430400 43018984800 43234079724 43670787600 45735224832 45886917120 46582173440 46929801600 47640859200 48037866360 49129636050 51240390784 51622781760 51971846400 52404945120 54042599655 55898608128 57169031040 57358646400 57645439632 58227716800 60047332950 62573068800 62885934144 63521145600 64050488480 64528477200 65506181400 68830375680 69873260160 71461288800 72056799540 76225374720 76478195200 76860586176 78607417680 80063110600 82596450816 83847912192 86037969600 86468159448 87341575200 90070999425 93164346880 93859603200 95281718400 96075732720 98259272100 102480781568 103245563520 103943692800 104809890240 108085199310 114338062080 114717292800 115290879264 116455433600 120094665900 125771868288 127042291200 128100976960 129056954400 131012362800 137660751360 139746520320 142922577600 144113599080 153721172352 157214835360 160126221200 167695824384 172075939200 172936318896 174683150400 180141998850 187719206400 190563436800 192151465440 196518544200 204961563136 206491127040 209619780480 216170398620 228676124160 229434585600 230581758528 232910867200 240189331800 251543736576 256201953920 258113908800 262024725600 270212998275 279493040640 285845155200 288227198160 307442344704 314429670720 320252442400 344151878400 345872637792 349366300800 360283997700 381126873600 384302930880 393037088400 412982254080 419239560960 432340797240 461163517056 465821734400 480378663600 503087473152 512403907840 516227817600 524049451200 540425996550 571690310400 576454396320 614884689408 628859341440 640504884800 688303756800 691745275584 698732601600 720567995400 768605861760 786074176800 838479121920 864681594480 922327034112 960757327200 1024807815680 1032455635200 1048098902400 1080851993100 1143380620800 1152908792640 1257718682880 1281009769600 1383490551168 1397465203200 1441135990800 1537211723520 1572148353600 1729363188960 1844654068224 1921514654400 2064911270400 2096197804800 2161703986200 2305817585280 2515437365760 2562019539200 2766981102336 2882271981600 3074423447040 3144296707200 3458726377920 3843029308800 4192395609600 4323407972400 4611635170560 5124039078400 5533962204672 5764543963200 6288593414400 6917452755840 7686058617600 8646815944800 9223270341120 11529087926400 12577186828800 13834905511680 15372117235200 17293631889600 23058175852800 27669811023360 34587263779200 46116351705600 69174527558400 138349055116800
- Sum of all divisors σ(n): 567013826649600
- Sum of proper divisors (its aliquot sum) s(n): 428664771532800
- 138349055116800 is an abundant number, because the sum of its proper divisors (428664771532800) is greater than itself. Its abundance is 290315716416000
Bases of 138349055116800
- Binary: 111110111010011111001100100100100000110000000002
- Hexadecimal: 0x7DD3E6490600
- Base-36: 1D1GOFCLC0
Squares and roots of 138349055116800
- 138349055116800 squared (1383490551168002) is 19140461051711364261642240000
- 138349055116800 cubed (1383490551168003) is 2648064701004179229198863997843013632000000
-
The
square root of 138349055116800 is 11762187.5140978771 -
The
cube root of 138349055116800 is 51720.0257535093
Scales and comparisons
How big is 138349055116800?- 138,349,055,116,800 seconds is equal to 4,399,072 years, 4 days.
-
To count from 1 to 138,349,055,116,800 would take you about ten million, nine hundred ninety-seven thousand, six hundred eighty 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 138349055116800 cubic inches would be around 4310 feet tall.
Recreational maths with 138349055116800
- 138349055116800 backwards is 008611550943831
- 138349055116800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138349055116800's digits is 54
- More coming soon!
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MLA style:
"Number 138349055116800 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 138349055116800 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/138349055116800/
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The information we have on file for 138349055116800 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!
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