138377806492403712
138,377,806,492,403,712 is an even composite number composed of six prime numbers multiplied together.
What does the number 138377806492403712 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138377806492403712 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138377806492403712:
211 × 3 × 132 × 233 × 109 × 3172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 23 × 23 × 23 × 109 × 317 × 317)See below for interesting mathematical facts about the number 138377806492403712 from the Numbermatics database.
Names of 138377806492403712
- Cardinal: 138377806492403712 can be written as One hundred thirty-eight quadrillion, three hundred seventy-seven trillion, eight hundred six billion, four hundred ninety-two million, four hundred three thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 1.38377806492403712 × 1017
Factors of 138377806492403712
Divisors of 138377806492403712
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 109 128 138 156 169 184 192 208 218 256 276 299 312 317 327 338 368 384 416 436 507 512 529 552 598 624 634 654 676 736 768 832 872 897 951 1014 1024 1058 1104 1196 1248 1268 1308 1352 1417 1472 1536 1587 1664 1744 1794 1902 2028 2048 2116 2208 2392 2496 2507 2536 2616 2704 2834 2944 3072 3174 3328 3488 3588 3804 3887 4056 4121 4232 4251 4416 4784 4992 5014 5072 5232 5408 5668 5888 6144 6348 6656 6877 6976 7176 7291 7521 7608 7774 8112 8242 8464 8502 8832 9568 9984 10028 10144 10464 10816 11336 11661 11776 12167 12363 12696 13312 13754 13952 14352 14582 15042 15216 15548 16224 16484 16928 17004 17664 18421 19136 19968 20056 20288 20631 20928 21632 21873 22672 23322 23552 24334 24726 25392 26624 27508 27904 28704 29164 30084 30432 31096 32448 32591 32968 33856 34008 34553 35328 36501 36842 38272 39936 40112 40576 41262 41856 43264 43746 45344 46644 47104 48668 49452 50784 53573 55016 55263 55808 57408 57661 58328 60168 60864 62192 64896 65182 65936 67712 68016 69106 70656 73002 73684 76544 79872 80224 81152 82524 83712 86528 87492 89401 90688 93288 94783 97336 97773 98904 100489 101568 103659 107146 110032 110526 111616 114816 115322 116656 120336 121728 124384 129792 130364 131872 135424 136032 138212 141312 146004 147368 153088 158171 160448 160719 162304 165048 167424 167693 172983 173056 174984 178802 181376 186576 189566 194672 195546 197808 200978 203136 207318 214292 220064 221052 223232 229632 230644 233312 240672 243456 248768 259584 260728 263744 268203 270848 272064 276424 284349 292008 294736 301467 306176 316342 320896 321438 324608 330096 334848 335386 345966 346112 349968 357604 362752 373152 379132 389344 391092 395616 401956 406272 414636 423683 428584 440128 442104 449189 459264 461288 466624 474513 481344 486912 497536 503079 519168 521456 527488 536406 541696 544128 552848 568698 584016 589472 602934 612352 632684 641792 642876 649216 660192 669696 670772 691932 699936 715208 725504 746304 749593 758264 778688 782184 791232 794719 803912 812544 829272 847366 857168 880256 884208 898378 918528 922576 933248 949026 962688 973824 995072 1006158 1038336 1042912 1054976 1072812 1083392 1088256 1105696 1137396 1168032 1178944 1205868 1232179 1265368 1271049 1283584 1285752 1306357 1320384 1326203 1341544 1347567 1383864 1399872 1430416 1451008 1492608 1499186 1516528 1557376 1564368 1582464 1589438 1607824 1625088 1658544 1694732 1714336 1760512 1768416 1796756 1837056 1845152 1866496 1898052 1925376 1947648 1990144 2012316 2056223 2085824 2109952 2145624 2176512 2180009 2211392 2248779 2274792 2311247 2336064 2357888 2384157 2411736 2464358 2530736 2542098 2567168 2571504 2612714 2640768 2652406 2683088 2695134 2767728 2799744 2860832 2902016 2985216 2998372 3033056 3114752 3128736 3164928 3178876 3215648 3250176 3317088 3389464 3428672 3521024 3536832 3593512 3690304 3696537 3732992 3796104 3850752 3856939 3919071 3978609 3980288 4024632 4112446 4171648 4219904 4291248 4353024 4360018 4422784 4497558 4549584 4622494 4672128 4715776 4768314 4823472 4928716 5061472 5084196 5134336 5143008 5225428 5281536 5304812 5366176 5390268 5535456 5599488 5721664 5839457 5970432 5996744 6066112 6168669 6229504 6257472 6329856 6357752 6431296 6540027 6634176 6778928 6857344 6933741 7042048 7073664 7187024 7380608 7393074 7465984 7592208 7701504 7713878 7838142 7957218 7960576 8049264 8224892 8343296 8439808 8582496 8706048 8720036 8845568 8995116 9099168 9244988 9344256 9431552 9536628 9646944 9744709 9857432 10122944 10168392 10286016 10331347 10450856 10563072 10609624 10732352 10780536 10953301 11070912 11198976 11443328 11570817 11678914 11940864 11993488 12132224 12337338 12459008 12514944 12659712 12715504 12862592 13080054 13268352 13557856 13714688 13867482 14084096 14147328 14374048 14761216 14786148 14931968 15184416 15403008 15427756 15676284 15914436 16098528 16449784 16686592 16982641 17164992 17240639 17440072 17518371 17691136 17990232 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13453003232 13608622336 13669719648 14037916416 14200301568 14344211648 14510139904 14671795956 14808862952 14967873024 15207742784 15383660032 15643744584 15868948992 15894445619 16123259072 16395847689 16585508472 16824270336 17191361408 17382888687 17390224384 17654414336 17938811904 17967634178 18226292864 18534436518 18717221888 18748835664 19253839488 19562394608 19650221994 19957164032 20179504848 20412933504 20858326112 21158598656 21516317472 21765209856 21861130252 22114011296 22213294428 22432360448 22811614176 23075490048 23177184916 23697033216 24184888608 24712582024 24998447552 25671785984 25787042112 26085336576 26200295992 26481621504 26906006464 26951451267 27217244672 27339439296 28075832832 28688423296 29020279808 29343591912 29617725904 29935746048 30415485568 30767320064 31287489168 31737897984 31788891238 32246518144 32791695378 33171016944 33648540672 34382722816 34765777374 34780448768 35308828672 35877623808 35935268356 36452585728 37068873036 37434443776 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117374367648 118470903616 121661942272 125149956672 127155564952 127726442961 128986072576 131166781512 132684067776 133268813267 137530891264 139063109496 142097346638 143741073424 145810342912 148275492144 149990685312 150651701954 154030715904 156499156864 157201775952 161436038784 163303468032 166866608896 170301923948 172130539776 174121678848 174889042016 176912090368 177706355424 182492913408 184603920384 185417479328 190733347428 193479108864 197700656192 199987580416 206296336896 206627793047 209602367936 213146019957 215248051712 215611610136 218715514368 225977552931 229507386368 234748735296 236941807232 243323884544 250299913344 254311129904 255452885922 257972145152 262333563024 265368135552 266537626534 275061782528 278126218992 284194693276 287482146848 291620685824 296550984288 299981370624 301303403908 308061431808 312998313728 314403551904 322872077568 326606936064 333733217792 340603847896 344261079552 349778084032 353824180736 355412710848 364985826816 370834958656 381466694856 386958217728 395401312384 399806439801 399975160832 412592673792 413255586094 419204735872 426292039914 430496103424 431223220272 437431028736 451955105862 459014772736 469497470592 473883614464 486647769088 500599826688 508622259808 510905771844 515944290304 524667126048 530736271104 533075253068 556252437984 568389386552 574964293696 593101968576 599962741248 602606807816 619883379141 625996627456 628807103808 645744155136 667466435584 681207695792 688522159104 699556168064 707648361472 710825421696 729971653632 741669917312 762933389712 773916435456 790802624768 799612879602 799950321664 825185347584 826511172188 838409471744 852584079828 860992206848 862446440544 874862057472 903910211724 938994941184 947767228928 979236062701 1001199653376 1017244519616 1021811543688 1049334252096 1061472542208 1066150506136 1112504875968 1136778773104 1149928587392 1186203937152 1199925482496 1205213615632 1239766758282 1251993254912 1257614207616 1291488310272 1334932871168 1362415391584 1377044318208 1399112336128 1415296722944 1421650843392 1459943307264 1483339834624 1525866779424 1547832870912 1581605249536 1599225759204 1653022344376 1676818943488 1705168159656 1724892881088 1732494572471 1807820423448 1877989882368 1895534457856 1958472125402 2002399306752 2034489039232 2043623087376 2098668504192 2122945084416 2132301012272 2225009751936 2273557546208 2299857174784 2372407874304 2399850964992 2410427231264 2479533516564 2503986509824 2515228415232 2582976620544 2724830783168 2798224672256 2843301686784 2937708188103 2966679669248 3051733558848 3163210499072 3198451518408 3306044688752 3353637886976 3410336319312 3449785762176 3464989144942 3615640846896 3755979764736 3791068915712 3916944250804 4004798613504 4068978078464 4087246174752 4197337008384 4245890168832 4264602024544 4450019503872 4547115092416 4599714349568 4744815748608 4820854462528 4959067033128 5030456830464 5197483717413 5449661566336 5596449344512 5686603373568 5875416376206 5933359338496 6103467117696 6326420998144 6396903036816 6612089377504 6707275773952 6820672638624 6899571524352 6929978289884 7231281693792 7511959529472 7833888501608 8137956156928 8174492349504 8394674016768 8529204049088 8900039007744 9094230184832 9199428699136 9489631497216 9641708925056 9918134066256 10060913660928 10394967434826 10899323132672 11192898689024 11373206747136 11750832752412 11866718676992 12206934235392 12793806073632 13224178755008 13641345277248 13799143048704 13859956579768 14462563387584 15667777003216 16275912313856 16348984699008 16789348033536 17058408098176 17800078015488 18188460369664 18398857398272 18979262994432 19283417850112 19836268132512 20121827321856 20789934869652 21798646265344 22522429442123 23501665504824 24413868470784 25587612147264 26448357510016 27282690554496 27598286097408 27719913159536 28925126775168 31335554006432 32551824627712 32697969398016 33578696067072 34116816196352 35600156030976 36376920739328 38566835700224 39672536265024 41579869739304 43597292530688 45044858884246 47003331009648 48827736941568 51175224294528 52896715020032 54565381108992 55196572194816 55439826319072 57850253550336 62671108012864 65395938796032 67567288326369 68233632392704 72753841478656 77133671400448 79345072530048 83159739478608 87194585061376 90089717768492 94006662019296 97655473883136 102350448589056 105793430040064 109130762217984 110879652638144 115700507100672 125342216025728 130791877592064 135134576652738 136467264785408 145507682957312 154267342800896 158690145060096 166319478957216 180179435536984 188013324038592 204700897178112 211586860080128 218261524435968 221759305276288 231401014201344 250684432051456 261583755184128 270269153305476 272934529570816 317380290120192 332638957914432 360358871073968 376026648077184 409401794356224 423173720160256 436523048871936 443518610552576 462802028402688 501368864102912 540538306610952 634760580240384 665277915828864 720717742147936 752053296154368 818803588712448 887037221105152 1002737728205824 1081076613221904 1269521160480768 1330555831657728 1441435484295872 1504106592308736 1774074442210304 2005475456411648 2162153226443808 2661111663315456 2882870968591744 3008213184617472 3548148884420608 4324306452887616 5322223326630912 5765741937183488 6016426369234944 8648612905775232 10644446653261824 11531483874366976 17297225811550464 23062967748733952 34594451623100928 46125935497467904 69188903246201856 138377806492403712
- Sum of all divisors σ(n): 422800482280176000
- Sum of proper divisors (its aliquot sum) s(n): 284422675787772288
- 138377806492403712 is an abundant number, because the sum of its proper divisors (284422675787772288) is greater than itself. Its abundance is 146044869295368576
Bases of 138377806492403712
- Binary: 1111010111001110111100001110000001100011100001000000000002
- Hexadecimal: 0x1EB9DE1C0C70800
- Base-36: 11UIU6PKHN9C
Squares and roots of 138377806492403712
- 138377806492403712 squared (1383778064924037122) is 19148417329649126908093159591378944
- 138377806492403712 cubed (1383778064924037123) is 2649715987877976703401852814967029409920259224240128
-
The
square root of 138377806492403712 is 371991675.2998697309 -
The
cube root of 138377806492403712 is 517236.0828343083
Scales and comparisons
How big is 138377806492403712?- 138,377,806,492,403,712 seconds is equal to 4,399,986,215 years, 41 weeks, 3 days, 23 hours, 15 minutes, 12 seconds.
-
To count from 1 to 138,377,806,492,403,712 would take you about thirteen billion, one hundred ninety-nine million, nine hundred fifty-eight thousand, six hundred forty-seven 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 138377806492403712 cubic inches would be around 43103 feet tall.
Recreational maths with 138377806492403712
- 138377806492403712 backwards is 217304294608773831
- The number of decimal digits it has is: 18
- The sum of 138377806492403712's digits is 75
- More coming soon!
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MLA style:
"Number 138377806492403712 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138377806492403712 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138377806492403712/
Chicago style:
Numbermatics. 2024. "Number 138377806492403712 - Facts about the integer". https://numbermatics.com/n/138377806492403712/
The information we have on file for 138377806492403712 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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