138115829030400
138,115,829,030,400 is an even composite number composed of seven prime numbers multiplied together.
138115829030400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138115829030400:
29 × 33 × 52 × 13 × 17 × 23 × 78623
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 17 × 23 × 78623)See below for interesting mathematical facts about the number 138115829030400 from the Numbermatics database.
Names of 138115829030400
- Cardinal: 138115829030400 can be written as One hundred thirty-eight trillion, one hundred fifteen billion, eight hundred twenty-nine million, thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.381158290304 × 1014
Factors of 138115829030400
Divisors of 138115829030400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 23 24 25 26 27 30 32 34 36 39 40 45 46 48 50 51 52 54 60 64 65 68 69 72 75 78 80 85 90 92 96 100 102 104 108 115 117 120 128 130 135 136 138 144 150 153 156 160 170 180 184 192 195 200 204 207 208 216 221 225 230 234 240 255 256 260 270 272 276 288 299 300 306 312 320 325 340 345 351 360 368 384 390 391 400 408 414 416 425 432 442 450 459 460 468 480 510 512 520 540 544 552 575 576 585 598 600 612 621 624 640 650 663 675 680 690 702 720 736 765 768 780 782 800 816 828 832 850 864 884 897 900 918 920 936 960 975 1020 1035 1040 1080 1088 1104 1105 1150 1152 1170 1173 1196 1200 1224 1242 1248 1275 1280 1300 1326 1350 1360 1380 1404 1440 1472 1495 1530 1536 1560 1564 1600 1632 1656 1664 1700 1725 1728 1755 1768 1794 1800 1836 1840 1872 1920 1950 1955 1989 2040 2070 2080 2160 2176 2208 2210 2295 2300 2304 2340 2346 2392 2400 2448 2484 2496 2550 2560 2600 2652 2691 2700 2720 2760 2808 2880 2925 2944 2990 3060 3105 3120 3128 3200 3264 3312 3315 3328 3400 3450 3456 3510 3519 3536 3588 3600 3672 3680 3744 3825 3840 3900 3910 3978 4080 4140 4160 4320 4352 4416 4420 4485 4590 4600 4608 4680 4692 4784 4800 4896 4968 4992 5083 5100 5175 5200 5304 5382 5400 5440 5520 5525 5616 5760 5850 5865 5888 5967 5980 6120 6210 6240 6256 6400 6528 6624 6630 6656 6800 6900 6912 7020 7038 7072 7176 7200 7344 7360 7475 7488 7650 7680 7800 7820 7956 8073 8160 8280 8320 8640 8704 8775 8832 8840 8970 9180 9200 9360 9384 9568 9600 9775 9792 9936 9945 9984 10166 10200 10350 10400 10557 10608 10764 10800 10880 11040 11050 11232 11475 11520 11700 11730 11776 11934 11960 12240 12420 12480 12512 12800 13056 13248 13260 13455 13600 13800 13824 14040 14076 14144 14352 14400 14688 14720 14950 14976 15249 15300 15525 15600 15640 15912 16146 16320 16560 16575 16640 17280 17550 17595 17664 17680 17940 18360 18400 18720 18768 19136 19200 19550 19584 19872 19890 19968 20332 20400 20700 20800 21114 21216 21528 21600 21760 22080 22100 22425 22464 22950 23040 23400 23460 23868 23920 24480 24840 24960 25024 25415 26112 26496 26520 26910 27200 27600 28080 28152 28288 28704 28800 29325 29376 29440 29835 29900 29952 30498 30600 31050 31200 31280 31824 32292 32640 33120 33150 33280 34560 35100 35190 35328 35360 35880 36720 36800 37440 37536 38272 38400 39100 39168 39744 39780 40365 40664 40800 41400 41600 42228 42432 43056 43200 43520 44160 44200 44850 44928 45747 45900 46800 46920 47736 47840 48960 49680 49725 49920 50048 50830 52785 52992 53040 53820 54400 55200 56160 56304 56576 57408 57600 58650 58752 58880 59670 59800 59904 60996 61200 62100 62400 62560 63648 64584 65280 66240 66300 67275 69120 70200 70380 70720 71760 73440 73600 74880 75072 76245 76544 78200 78336 78623 79488 79560 80730 81328 81600 82800 83200 84456 84864 86112 86400 87975 88320 88400 89700 89856 91494 91800 93600 93840 95472 95680 97920 99360 99450 99840 100096 101660 105570 105984 106080 107640 108800 110400 112320 112608 113152 114816 115200 117300 117504 119340 119600 121992 122400 124200 124800 125120 127075 127296 129168 130560 132480 132600 134550 137241 140400 140760 141440 143520 146880 147200 149175 149760 150144 152490 153088 156400 157246 158976 159120 161460 162656 163200 165600 166400 168912 169728 172224 172800 175950 176640 176800 179400 179712 182988 183600 187200 187680 190944 191360 195840 198720 198900 200192 201825 203320 211140 212160 215280 217600 220800 224640 225216 228735 229632 234600 235008 235869 238680 239200 243984 244800 248400 249600 250240 254150 254592 258336 263925 264960 265200 269100 274482 280800 281520 282880 287040 293760 294400 298350 299520 300288 304980 312800 314492 317952 318240 322920 325312 326400 331200 337824 339456 344448 345600 351900 353600 358800 365976 367200 374400 375360 381225 381888 382720 391680 393115 397440 397800 403650 406640 422280 424320 430560 441600 449280 450432 457470 459264 469200 471738 477360 478400 487968 489600 496800 499200 500480 508300 509184 516672 527850 529920 530400 538200 548964 561600 563040 565760 574080 587520 596700 600576 609960 625600 628984 636480 645840 650624 652800 662400 675648 686205 688896 703800 707200 707607 717600 731952 734400 748800 750720 762450 763776 765440 786230 794880 795600 807300 813280 844560 848640 861120 883200 898560 900864 914940 938400 943476 954720 956800 975936 979200 993600 1000960 1016600 1018368 1022099 1033344 1055700 1060800 1076400 1097928 1123200 1126080 1143675 1148160 1175040 1179345 1193400 1219920 1251200 1257968 1272960 1291680 1301248 1324800 1336591 1351296 1372410 1377792 1407600 1414400 1415214 1435200 1463904 1468800 1497600 1501440 1524900 1527552 1572460 1589760 1591200 1614600 1626560 1689120 1697280 1722240 1801728 1808329 1829880 1876800 1886952 1909440 1913600 1951872 1958400 1965575 1987200 2033200 2044198 2066688 2111400 2121600 2122821 2152800 2195856 2246400 2252160 2287350 2296320 2358690 2386800 2439840 2502400 2515936 2545920 2583360 2602496 2649600 2673182 2702592 2744820 2815200 2828800 2830428 2870400 2927808 2937600 3002880 3049800 3055104 3066297 3144920 3182400 3229200 3253120 3378240 3431025 3444480 3538035 3616658 3659760 3753600 3773904 3818880 3827200 3903744 3931150 3974400 4009773 4066400 4088396 4133376 4222800 4243200 4245642 4305600 4391712 4492800 4504320 4574700 4717380 4773600 4879680 5004800 5031872 5091840 5110495 5166720 5346364 5405184 5424987 5489640 5630400 5660856 5740800 5855616 5875200 5896725 6099600 6132594 6289840 6364800 6458400 6506240 6682955 6756480 6862050 6888960 7076070 7233316 7319520 7507200 7547808 7637760 7807488 7862300 7948800 8019546 8132800 8176792 8445600 8486400 8491284 8611200 8783424 9008640 9041645 9149400 9198891 9434760 9547200 9759360 10063744 10220990 10333440 10614105 10692728 10849974 10979280 11260800 11321712 11481600 11711232 11793450 12029319 12199200 12265188 12579680 12729600 12916800 13012480 13365910 13512960 13724100 14152140 14466632 14639040 15014400 15095616 15275520 15331485 15724600 16039092 16265600 16274961 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73591128 75478080 76377600 76657425 80195460 81374805 81767920 84912840 85541824 86799792 86878415 87834240 90416450 90573696 91988910 92224779 94033108 94347600 96234552 97593600 97649766 98121504 100244325 100637440 102209900 103334400 104254098 106141050 106927280 108499740 109792800 110386692 113217120 115733056 117112320 117541385 120293190 120764928 122651880 122966372 125796800 128312736 130199688 130828672 133659100 135129600 135624675 135860544 137983365 139005464 141049662 141521400 144351828 144666320 146390400 147182256 150956160 153314850 153707965 156381147 160390920 162749610 163535840 169825680 171083648 173599584 173756830 175668480 180439785 180832900 181147392 183977820 184449558 188066216 188695200 192469104 195187200 195299532 196243008 200488650 201274880 204419800 208508196 211574493 212282100 213854560 216999480 219585600 220773384 226434240 229972275 231466112 235082770 240586380 244124415 245303760 245932744 251593600 256625472 260399376 260635245 261657344 267318200 271249350 271721088 275966730 276674337 278010928 282099324 283042800 288703656 289332640 292780800 294364512 300732975 301912320 306629700 307415930 312762294 320781840 325499220 327071680 339651360 342167296 347199168 347513660 351336960 352624155 360879570 361665800 362294784 367955640 368899116 376132432 377390400 384938208 390599064 392486016 399640709 400977300 406874025 408839600 417016392 423148986 424564200 427709120 433998960 434392075 439171200 441546768 452868480 459944550 461123895 462932224 469143441 470165540 481172760 488248830 490607520 491865488 503187200 513250944 520798752 521270490 523314688 534636400 542498700 543442176 551933460 553348674 556021856 564198648 566085600 577407312 578665280 585561600 587706925 588729024 601465950 603824640 613259400 614831860 625524588 634723479 641563680 650998440 654143360 679302720 684334592 689916825 694398336 695027320 705248310 721759140 723331600 735911280 737798232 752264864 754780800 768539825 769876416 781198128 781905735 784972032 799281418 801954600 813748050 817679200 830023011 834032784 846297972 849128400 855418240 867997920 868784150 878342400 883093536 902198925 905736960 919889100 922247790 925864448 938286882 940331080 962345520 976497660 981215040 983730976 1006374400 1026501888 1041597504 1042540980 1057872465 1069272800 1084997400 1086884352 1103866920 1106697348 1112043712 1128397296 1132171200 1154814624 1157330560 1175413850 1177458048 1198922127 1202931900 1220622075 1226518800 1229663720 1251049176 1269446958 1283127360 1301996880 1303176225 1308286720 1358605440 1379833650 1383371685 1388796672 1390054640 1410496620 1443518280 1446663200 1471822560 1475596464 1504529728 1509561600 1537079650 1539752832 1562396256 1563811470 1569944064 1598562836 1603909200 1627496100 1635358400 1660046022 1668065568 1692595944 1698256800 1710836480 1735995840 1737568300 1756684800 1763120775 1766187072 1804397850 1811473920 1839778200 1844495580 1876573764 1880662160 1924691040 1952995320 1962430080 1967461952 1998203545 2053003776 2083195008 2085081960 2115744930 2138545600 2169994800 2207733840 2213394696 2224087424 2256794592 2264342400 2305619475 2309629248 2314661120 2345717205 2350827700 2354916096 2397844254 2405863800 2441244150 2453037600 2459327440 2502098352 2538893916 2566254720 2603993760 2606352450 2616573440 2717210880 2759667300 2766743370 2777593344 2780109280 2820993240 2887036560 2893326400 2943645120 2951192928 3009059456 3019123200 3074159300 3079505664 3124792512 3127622940 3173617395 3197125672 3207818400 3254992200 3270716800 3320092044 3336131136 3385191888 3396513600 3421672960 3471991680 3475136600 3526241550 3532374144 3596766381 3608795700 3679556400 3688991160 3753147528 3761324320 3849382080 3905990640 3909528675 3924860160 3934923904 3996407090 4150115055 4166390016 4170163920 4231489860 4277091200 4339989600 4415467680 4426789392 4448174848 4513589184 4528684800 4611238950 4619258496 4629322240 4691434410 4701655400 4709832192 4795688508 4811727600 4882488300 4906075200 4918654880 5004196704 5077787832 5132509440 5207987520 5212704900 5289362325 5434421760 5519334600 5533486740 5560218560 5641986480 5774073120 5786652800 5887290240 5902385856 5994610635 6018118912 6148318600 6159011328 6249585024 6255245880 6347234790 6394251344 6415636800 6509984400 6541433600 6640184088 6672262272 6770383776 6793027200 6916858425 6943983360 6950273200 7052483100 7064748288 7193532762 7217591400 7359112800 7377982320 7506295056 7522648640 7698764160 7811981280 7819057350 7849720320 7869847808 7992814180 8300230110 8332780032 8340327840 8462979720 8554182400 8679979200 8830935360 8853578784 8896349696 9027178368 9057369600 9222477900 9238516992 9382868820 9403310800 9591377016 9623455200 9764976600 9812150400 9837309760 9991017725 10008393408 10155575664 10265018880 10415975040 10425409800 10578724650 10790299143 11038669200 11066973480 11120437120 11283972960 11548146240 11573305600 11728586025 11774580480 11804771712 11989221270 12036237824 12296637200 12499170048 12510491760 12694469580 12788502688 12831273600 13019968800 13082867200 13280368176 13344524544 13540767552 13586054400 13833716850 13887966720 13900546400 14104966200 14129496576 14387065524 14435182800 14718225600 14755964640 15012590112 15045297280 15397528320 15623962560 15638114700 15739695616 15868086975 15985628360 16600460220 16680655680 16925959440 17108364800 17359958400 17661870720 17707157568 17983831905 18054356736 18444955800 18477033984 18765737640 18806621600 19182754032 19246910400 19529953200 19624300800 19674619520 19982035450 20016786816 20311151328 20750575275 20831950080 20850819600 21157449300 21580598286 22077338400 22133946960 22240874240 22567945920 23096292480 23146611200 23457172050 23549160960 23609543424 23978442540 24593274400 24998340096 25020983520 25388939160 25577005376 25662547200 26039937600 26560736352 26689049088 27081535104 27172108800 27667433700 27801092800 28209932400 28774131048 28870365600 29436451200 29511929280 29973053175 30025180224 30090594560 30795056640 31247925120 31276229400 31736173950 31971256720 33200920440 33361311360 33851918880 34719916800 35323741440 35414315136 35967663810 36108713472 36889911600 37531475280 37613243200 38365508064 38493820800 39059906400 39248601600 39349239040 39964070900 40033573632 40622302656 41501150550 41663900160 41701639200 42314898600 43161196572 44154676800 44267893920 44481748480 45135891840 46192584960 46914344100 47219086848 47956885080 49186548800 50041967040 50777878320 51154010752 51325094400 52079875200 53121472704 53951495715 54163070208 55334867400 55602185600 56419864800 57548262096 57740731200 58872902400 59023858560 59946106350 60050360448 60181189120 62495850240 62552458800 63472347900 63942513440 66401840880 66722622720 67703837760 69439833600 70647482880 70828630272 71935327620 73779823200 75062950560 75226486400 76731016128 76987641600 78119812800 78698478080 79928141800 80067147264 81244605312 83002301100 83403278400 84629797200 86322393144 88309353600 88535787840 89919159525 90271783680 92385169920 93828688200 95913770160 98373097600 100083934080 101555756640 102308021504 104159750400 106242945408 107902991430 108326140416 110669734800 111204371200 112839729600 115096524192 115481462400 117745804800 118047717120 119892212700 120100720896 124991700480 125104917600 126944695800 127885026880 132803681760 133445245440 135407675520 141657260544 143870655240 147559646400 150125901120 150452972800 153462032256 153975283200 156239625600 159856283600 162489210624 166004602200 166806556800 169259594400 172644786288 176618707200 177071575680 179838319050 180543567360 187657376400 191827540320 196746195200 200167868160 203111513280 204616043008 208319500800 212485890816 215805982860 221339469600 222408742400 225679459200 230193048384 230962924800 236095434240 239784425400 240201441792 250209835200 253889391600 255770053760 265607363520 269757478575 270815351040 287741310480 295119292800 300251802240 300905945600 306924064512 312479251200 319712567200 324978421248 332009204400 333613113600 338519188800 345289572576 353237414400 354143151360 359676638100 375314752800 383655080640 393492390400 400335736320 406223026560 424971781632 431611965720 442678939200 451358918400 460386096768 461925849600 479568850800 500419670400 507778783200 511540107520 531214727040 539514957150 541630702080 575482620960 590238585600 600503604480 613848129024 624958502400 639425134400 664018408800 667226227200 677038377600 690579145152 708286302720 719353276200 750629505600 767310161280 812446053120 863223931440 885357878400 902717836800 920772193536 959137701600 1000839340800 1015557566400 1023080215040 1062429454080 1079029914300 1150965241920 1180477171200 1201007208960 1278850268800 1328036817600 1354076755200 1381158290304 1438706552400 1501259011200 1534620322560 1624892106240 1726447862880 1770715756800 1841544387072 1918275403200 2001678681600 2031115132800 2124858908160 2158059828600 2301930483840 2557700537600 2656073635200 2708153510400 2762316580608 2877413104800 3002518022400 3069240645120 3452895725760 3541431513600 3836550806400 4062230265600 4316119657200 4603860967680 5115401075200 5312147270400 5524633161216 5754826209600 6005036044800 6905791451520 7673101612800 8124460531200 8632239314400 9207721935360 10624294540800 11509652419200 13811582903040 15346203225600 17264478628800 23019304838400 27623165806080 34528957257600 46038609676800 69057914515200 138115829030400
- Sum of all divisors σ(n): 603204032471040
- Sum of proper divisors (its aliquot sum) s(n): 465088203440640
- 138115829030400 is an abundant number, because the sum of its proper divisors (465088203440640) is greater than itself. Its abundance is 326972374410240
Bases of 138115829030400
- Binary: 111110110011101100110001110110101011110000000002
- Hexadecimal: 0x7D9D98ED5E00
- Base-36: 1CYHJAK5C0
Squares and roots of 138115829030400
- 138115829030400 squared (1381158290304002) is 19075982228754683404124160000
- 138115829030400 cubed (1381158290304003) is 2634695100093630595747292752814014464000000
-
The
square root of 138115829030400 is 11752269.1013437911 -
The
cube root of 138115829030400 is 51690.9465432993
Scales and comparisons
How big is 138115829030400?- 138,115,829,030,400 seconds is equal to 4,391,656 years, 7 weeks, 3 days.
-
To count from 1 to 138,115,829,030,400 would take you about ten million, nine hundred seventy-nine thousand, one hundred forty 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 138115829030400 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138115829030400
- 138115829030400 backwards is 004030928511831
- 138115829030400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138115829030400's digits is 45
- More coming soon!
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"Number 138115829030400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138115829030400 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138115829030400/
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The information we have on file for 138115829030400 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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