138137874166656
138,137,874,166,656 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138137874166656 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
138137874166656 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138137874166656:
27 × 33 × 7 × 13 × 19 × 29 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 19 × 29 × 797161)See below for interesting mathematical facts about the number 138137874166656 from the Numbermatics database.
Names of 138137874166656
- Cardinal: 138137874166656 can be written as One hundred thirty-eight trillion, one hundred thirty-seven billion, eight hundred seventy-four million, one hundred sixty-six thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 1.38137874166656 × 1014
Factors of 138137874166656
Divisors of 138137874166656
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 29 32 36 38 39 42 48 52 54 56 57 58 63 64 72 76 78 84 87 91 96 104 108 112 114 116 117 126 128 133 144 152 156 168 171 174 182 189 192 203 208 216 224 228 232 234 247 252 261 266 273 288 304 312 336 342 348 351 364 377 378 384 399 406 416 432 448 456 464 468 494 504 513 522 532 546 551 576 608 609 624 672 684 696 702 728 741 754 756 783 798 812 819 832 864 896 912 928 936 988 1008 1026 1044 1064 1092 1102 1131 1152 1197 1216 1218 1248 1344 1368 1392 1404 1456 1482 1508 1512 1566 1596 1624 1638 1653 1664 1728 1729 1824 1827 1856 1872 1976 2016 2052 2088 2128 2184 2204 2223 2262 2394 2432 2436 2457 2496 2639 2688 2736 2784 2808 2912 2964 3016 3024 3132 3192 3248 3276 3306 3393 3456 3458 3591 3648 3654 3712 3744 3857 3952 4032 4104 4176 4256 4368 4408 4446 4524 4788 4872 4914 4959 4992 5187 5278 5472 5481 5568 5616 5824 5928 6032 6048 6264 6384 6496 6552 6612 6669 6786 6916 7163 7182 7296 7308 7488 7714 7904 7917 8064 8208 8352 8512 8736 8816 8892 9048 9576 9744 9828 9918 10179 10374 10556 10944 10962 11136 11232 11571 11648 11856 12064 12096 12528 12768 12992 13104 13224 13338 13572 13832 14326 14364 14616 14877 14976 15428 15561 15808 15834 16416 16704 17024 17472 17632 17784 18096 19152 19488 19656 19836 20358 20748 21112 21489 21888 21924 22464 23142 23712 23751 24128 24192 25056 25536 25984 26208 26448 26676 27144 27664 28652 28728 29232 29754 30856 31122 31616 31668 32832 33408 34713 34944 35264 35568 36192 38304 38976 39312 39672 40716 41496 42224 42978 43848 44928 46284 46683 47424 47502 48256 50112 50141 51072 52416 52896 53352 54288 55328 57304 57456 58464 59508 61712 62244 63336 64467 65664 69426 70528 71136 71253 72384 76608 77952 78624 79344 81432 82992 84448 85956 87696 92568 93366 94848 95004 100224 100282 104139 104832 105792 106704 108576 110656 114608 114912 116928 119016 123424 124488 126672 128934 138852 142272 142506 144768 150423 153216 157248 158688 162864 165984 168896 171912 175392 185136 186732 190008 193401 200564 208278 211584 213408 217152 221312 229216 229824 233856 238032 246848 248976 253344 257868 277704 284544 285012 300846 314496 317376 325728 331968 337792 343824 350784 370272 373464 380016 386802 401128 416556 426816 434304 451269 458432 459648 476064 493696 497952 506688 515736 555408 570024 601692 634752 651456 663936 687648 701568 740544 746928 760032 773604 797161 802256 833112 853632 902538 916864 952128 995904 1013376 1031472 1110816 1140048 1203384 1302912 1353807 1375296 1481088 1493856 1520064 1547208 1594322 1604512 1666224 1805076 1904256 1991808 2062944 2221632 2280096 2391483 2406768 2707614 2750592 2987712 3040128 3094416 3188644 3209024 3332448 3610152 4125888 4443264 4560192 4782966 4813536 5415228 5580127 5975424 6188832 6377288 6418048 6664896 7174449 7220304 8251776 9120384 9565932 9627072 10363093 10830456 11160254 12377664 12754576 13329792 14348898 14440608 15146059 16740381 19131864 19254144 20726186 21523347 21660912 22320508 23117669 24755328 25509152 28697796 28881216 30292118 31089279 33480762 38263728 41452372 43046694 43321824 44641016 45438177 46235338 50221143 51018304 57395592 57762432 60584236 62178558 66961524 69353007 72541651 76527456 82904744 86093388 86643648 89282032 90876354 92470676 93267837 100442286 102036608 106022413 114791184 121168472 124357116 133923048 136314531 138706014 145083302 150663429 153054912 161823683 165809488 172186776 173287296 178564064 181752708 184941352 186535674 196898767 200884572 208059021 212044826 217624953 229582368 242336944 248714232 267846096 272629062 277412028 279803511 290166604 300529697 301326858 306109824 318067239 323647366 331618976 344373552 357128128 363505416 369882704 373071348 393797534 401769144 408943593 416118042 424089652 435249906 439235711 459164736 484673888 485471049 497428464 535692192 545258124 554824056 559607022 580333208 590696301 601059394 602653716 624177063 636134478 647294732 652874859 663237952 688747104 714256256 727010832 739765408 746142696 787595068 803538288 817887186 832236084 848179304 870499812 878471422 901589091 918329472 954201717 969347776 970942098 994856928 1071384384 1090516248 1109648112 1119214044 1160666416 1181392602 1202118788 1205307432 1248354126 1272268956 1294589464 1305749718 1317707133 1326475904 1377494208 1378291369 1454021664 1456413147 1479530816 1492285392 1575190136 1607076576 1635774372 1664472168 1696358608 1740999624 1756942844 1772088903 1803178182 1908403434 1938695552 1941884196 1958624577 1989713856 2103707879 2142768768 2181032496 2219296224 2238428088 2321332832 2362785204 2404237576 2410614864 2496708252 2544537912 2589178928 2611499436 2635414266 2704767273 2754988416 2756582738 2862605151 2908043328 2912826294 2959061632 2984570784 3074649977 3150380272 3214153152 3271548744 3328944336 3392717216 3481999248 3513885688 3544177806 3606356364 3816806868 3883768392 3917249154 3953121399 3979427712 4134874107 4207415758 4362064992 4369239441 4438592448 4476856176 4642665664 4725570408 4808475152 4821229728 4993416504 5089075824 5178357856 5222998872 5270828532 5316266709 5409534546 5513165476 5710064243 5725210302 5816086656 5825652588 5969141568 6149299954 6300760544 6311123637 6428306304 6543097488 6657888672 6785434432 6963998496 7027771376 7088355612 7212712728 7633613736 7767536784 7834498308 7906242798 8114301819 8269748214 8414831516 8724129984 8738478882 8877184896 8953712352 9223949931 9285331328 9451140816 9616950304 9642459456 9986833008 10178151648 10356715712 10445997744 10541657064 10632533418 10819069092 11026330952 11420128486 11450420604 11651305176 11859364197 11938283136 12298599908 12404622321 12601521088 12622247274 13086194976 13315777344 13570868864 13927996992 14055542752 14176711224 14425425456 15267227472 15535073568 15668996616 15812485596 16228603638 16539496428 16829663032 17130192729 17448259968 17476957764 17907424704 18447899862 18902281632 18933370911 19233900608 19284918912 19973666016 20356303296 20713431424 20891995488 21083314128 21265066836 21638138184 22052661904 22840256972 22900841208 23302610352 23718728394 24597199816 24809244642 25203042176 25244494548 26172389952 26631554688 27671849793 27855993984 28111085504 28353422448 28850850912 30534454944 31070147136 31337993232 31624971192 32457207276 33078992856 33659326064 34260385458 34953915528 35814849408 36895799724 37213866963 37804563264 37866741822 38467801216 39947332032 39970449701 40712606592 41783990976 42166628256 42530133672 43276276368 44105323808 45680513944 45801682416 46605220704 47437456788 49194399632 49618489284 50488989096 51390578187 52344779904 55343699586 56222171008 56706844896 56800112733 57701701824 61068909888 62140294272 62675986464 63249942384 64914414552 66157985712 67318652128 68520770916 69907831056 73791599448 74427733926 75609126528 75733483644 79894664064 79940899402 83015549379 83567981952 84333256512 85060267344 86552552736 88210647616 91361027888 91603364832 93210441408 94874913576 98388799264 99236978568 100977978192 102781156374 110687399172 113413689792 113600225466 115403403648 119911349103 122137819776 125351972928 126499884768 129828829104 132315971424 134637304256 137041541832 139815662112 147583198896 148855467852 151466967288 154171734561 159881798804 166031098758 168666513024 170120534688 173105105472 176421295232 182722055776 183206729664 186420882816 189749827152 196777598528 198473957136 201955956384 205562312748 221374798344 226827379584 227200450932 239822698206 250703945856 252999769536 259657658208 264631942848 269274608512 274083083664 279631324224 295166397792 297710935704 302933934576 308343469122 319763597608 332062197516 340241069376 346210210944 359734047309 365444111552 366413459328 379499654304 393555197056 396947914272 403911912768 411124625496 442749596688 454400901864 479645396412 505999539072 519315316416 529263885696 548166167328 559262648448 590332795584 595421871408 605867869152 616686938244 639527195216 664124395032 680482138752 719468094618 730888223104 758999308608 793895828544 807823825536 822249250992 885499193376 908801803728 959290792824 1038630632832 1079202141927 1096332334656 1180665591168 1190843742816 1211735738304 1233373876488 1279054390432 1328248790064 1438936189236 1517998617216 1587791657088 1644498501984 1770998386752 1817603607456 1918581585648 2158404283854 2192664669312 2381687485632 2423471476608 2466747752976 2558108780864 2656497580128 2877872378472 3288997003968 3541996773504 3635207214912 3837163171296 4316808567708 4763374971264 4933495505952 5116217561728 5312995160256 5755744756944 6577994007936 7270414429824 7674326342592 8633617135416 9866991011904 10625990320512 11511489513888 15348652685184 17267234270832 19733982023808 23022979027776 34534468541664 46045958055552 69068937083328 138137874166656
- Sum of all divisors σ(n): 546406721280000
- Sum of proper divisors (its aliquot sum) s(n): 408268847113344
- 138137874166656 is an abundant number, because the sum of its proper divisors (408268847113344) is greater than itself. Its abundance is 270130972946688
Bases of 138137874166656
- Binary: 111110110100010101110101110101101110011100000002
- Hexadecimal: 0x7DA2BAEB7380
- Base-36: 1CYRNVNXC0
Squares and roots of 138137874166656
- 138137874166656 squared (1381378741666562) is 19082072279282887086462222336
- 138137874166656 cubed (1381378741666563) is 2635956899354614104482114405091801789628416
-
The
square root of 138137874166656 is 11753206.9737010927 -
The
cube root of 138137874166656 is 51693.6965861313
Scales and comparisons
How big is 138137874166656?- 138,137,874,166,656 seconds is equal to 4,392,357 years, 5 weeks, 5 days, 57 minutes, 36 seconds.
-
To count from 1 to 138,137,874,166,656 would take you about ten million, nine hundred eighty thousand, eight hundred ninety-two 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 138137874166656 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138137874166656
- 138137874166656 backwards is 656661478731831
- 138137874166656 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138137874166656's digits is 72
- 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 138137874166656 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138137874166656 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138137874166656/
Chicago style:
Numbermatics. 2024. "Number 138137874166656 - Facts about the integer". https://numbermatics.com/n/138137874166656/
The information we have on file for 138137874166656 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 138137874166656, math, Factors of 138137874166656, curriculum, school, college, exams, university, Prime factorization of 138137874166656, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-seven billion, eight hundred seventy-four million, one hundred sixty-six thousand, six hundred fifty-six.