138642480320512
138,642,480,320,512 is an even composite number composed of five prime numbers multiplied together.
What does the number 138642480320512 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 936 divisors.
138642480320512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 138642480320512:
212 × 73 × 19 × 432 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 19 × 43 × 43 × 53 × 53)See below for interesting mathematical facts about the number 138642480320512 from the Numbermatics database.
Names of 138642480320512
- Cardinal: 138642480320512 can be written as One hundred thirty-eight trillion, six hundred forty-two billion, four hundred eighty million, three hundred twenty thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38642480320512 × 1014
Factors of 138642480320512
Divisors of 138642480320512
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 43 49 53 56 64 76 86 98 106 112 128 133 152 172 196 212 224 256 266 301 304 343 344 371 392 424 448 512 532 602 608 686 688 742 784 817 848 896 931 1007 1024 1064 1204 1216 1372 1376 1484 1568 1634 1696 1792 1849 1862 2014 2048 2107 2128 2279 2408 2432 2597 2744 2752 2809 2968 3136 3268 3392 3584 3698 3724 4028 4096 4214 4256 4558 4816 4864 5194 5488 5504 5618 5719 5936 6272 6517 6536 6784 7049 7168 7396 7448 8056 8428 8512 9116 9632 9728 10388 10976 11008 11236 11438 11872 12544 12943 13034 13072 13568 14098 14336 14749 14792 14896 15953 16112 16856 17024 18179 18232 19264 19456 19663 20776 21952 22016 22472 22876 23744 25088 25886 26068 26144 27136 28196 28672 29498 29584 29792 31906 32224 33712 34048 35131 36358 36464 38528 38912 39326 40033 41552 43301 43904 44032 44944 45752 47488 49343 50176 51772 52136 52288 53371 54272 56392 58996 59168 59584 63812 64448 67424 68096 70262 72716 72928 77056 77824 78652 80066 83104 86602 87808 88064 89888 90601 91504 94976 97997 98686 100352 103544 104272 104576 106742 108544 111671 112784 117992 118336 119168 120787 127624 128896 134848 136192 137641 140524 145432 145856 154112 157304 160132 166208 173204 175616 176128 179776 181202 183008 189952 195994 197372 200704 207088 208544 209152 213484 217088 223342 225568 235984 236672 238336 241574 245917 255248 257792 269696 272384 275282 280231 281048 290864 291712 303107 308224 314608 320264 332416 345401 346408 351232 359552 362404 366016 373597 379904 391988 394744 414176 417088 418304 426968 446684 451136 471968 473344 476672 483148 491834 510496 515584 539392 544768 550564 560462 562096 581728 583424 606214 616448 629216 634207 640528 664832 685979 690802 692816 702464 719104 724808 732032 747194 759808 781697 783976 789488 828352 834176 836608 845509 853936 893368 902272 943936 946688 953344 963487 966296 983668 1020992 1031168 1078784 1101128 1120924 1124192 1163456 1166848 1212428 1232896 1258432 1268414 1281056 1329664 1371958 1381604 1385632 1404928 1438208 1449616 1464064 1494388 1519616 1563394 1567952 1578976 1656704 1668352 1673216 1691018 1707872 1721419 1786736 1804544 1861943 1887872 1893376 1906688 1926974 1932592 1967336 2041984 2062336 2121749 2157568 2202256 2241848 2248384 2294953 2326912 2333696 2424856 2516864 2536828 2562112 2615179 2659328 2743916 2763208 2771264 2876416 2899232 2928128 2988776 3126788 3135904 3157952 3313408 3336704 3346432 3382036 3415744 3442838 3573472 3609088 3723886 3775744 3786752 3813376 3853948 3865184 3934672 4083968 4124672 4243498 4315136 4404512 4483696 4496768 4589906 4653824 4667392 4801853 4849712 5033728 5073656 5124224 5193841 5230358 5318656 5487832 5526416 5542528 5752832 5798464 5856256 5918563 5977552 6253576 6271808 6315904 6626816 6673408 6764072 6831488 6885676 7146944 7218176 7447772 7551488 7573504 7707896 7730368 7869344 8167936 8486996 8630272 8809024 8967392 8993536 9179812 9307648 9334784 9603706 9699424 10067456 10147312 10248448 10387682 10460716 10637312 10975664 11052832 11085056 11505664 11596928 11712512 11837126 11955104 12049933 12507152 12543616 12631808 13033601 13253632 13346816 13528144 13662976 13771352 14293888 14436352 14852243 14895544 15102976 15415792 15460736 15738688 16064671 16335872 16973992 17618048 17934784 17987072 18306253 18359624 18615296 19207412 19398848 20134912 20294624 20496896 20775364 20921432 21951328 22105664 22170112 23193856 23425024 23674252 23910208 24099866 25014304 25087232 25263616 26067202 26507264 26693632 27056288 27325952 27542704 28587776 28872704 29704486 29791088 30205952 30831584 30921472 31477376 32129342 32671744 33612971 33947984 35236096 35869568 35974144 36356887 36612506 36719248 37230592 38414824 38797696 40269824 40589248 40993792 41429941 41550728 41842864 43902656 44211328 44340224 46387712 47348504 47820416 48199732 50028608 50174464 50527232 52134404 53014528 54112576 54651904 55085408 57175552 59408972 59582176 60411904 61663168 61842944 62954752 64258684 65343488 67225942 67895968 70472192 71739136 71948288 72713774 73225012 73438496 74461184 76829648 77595392 80539648 81178496 81987584 82859882 83101456 83685728 87805312 88422656 88680448 91235207 92775424 94697008 95640832 96399464 98682979 100057216 100348928 101054464 104268808 108225152 109303808 110170816 112452697 114351104 118817944 119164352 123326336 123685888 125909504 128517368 134451884 135791936 140944384 143478272 143896576 145427548 146450024 146876992 153659296 155190784 162356992 163975168 165719764 166202912 167371456 175610624 176845312 177360896 182470414 185550848 189394016 191281664 192798928 197365958 200114432 200697856 202108928 208537616 216450304 218607616 220341632 224905394 228702208 237635888 238328704 246652672 247371776 251819008 254498209 257034736 268903768 271583872 281888768 286956544 290855096 292900048 293753984 307318592 310381568 324713984 331439528 332405824 334742912 351221248 353690624 364940828 371101696 378788032 382563328 385597856 394731916 400228864 401395712 417075232 432900608 440683264 449810788 457404416 475271776 476657408 493305344 494743552 503638016 508996418 514069472 537807536 543167744 563777536 573913088 581710192 585800096 587507968 614637184 620763136 638646449 649427968 662879056 664811648 669485824 690780853 702442496 707381248 729881656 757576064 765126656 771195712 787168879 789463832 800457728 834150464 865801216 881366528 899621576 950543552 953314816 986610688 1007276032 1017992836 1028138944 1075615072 1086335488 1147826176 1163420384 1171600192 1175015936 1229274368 1241526272 1277292898 1298855936 1325758112 1329623296 1338971648 1381561706 1404884992 1414762496 1459763312 1515152128 1530253312 1542391424 1574337758 1578927664 1600915456 1668300928 1731602432 1762733056 1781487463 1799243152 1901087104 1906629632 1973221376 2035985672 2056277888 2151230144 2172670976 2326840768 2343200384 2350031872 2458548736 2554585796 2597711872 2651516224 2659246592 2677943296 2763123412 2809769984 2919526624 3030304256 3084782848 3148675516 3157855328 3201830912 3336601856 3463204864 3525466112 3562974926 3598486304 3802174208 3813259264 3946442752 4071971344 4112555776 4302460288 4345341952 4653681536 4686400768 4700063744 4835465971 4917097472 5109171592 5303032448 5318493184 5355886592 5526246824 5839053248 6060608512 6169565696 6297351032 6315710656 6673203712 7050932224 7125949852 7196972608 7604348416 7626518528 8143942688 8225111552 8604920576 8690683904 9307363072 9372801536 9400127488 9670931942 9834194944 10218343184 10606064896 10636986368 10711773184 11052493648 11678106496 12121217024 12339131392 12594702064 12631421312 13346407424 14251899704 14393945216 15208696832 16287885376 16450223104 17209841152 18614726144 18745603072 19341863884 19668389888 20436686368 21212129792 21273972736 22104987296 23356212992 24242434048 24678262784 25189404128 25262842624 26692814848 28503799408 28787890432 30417393664 32575770752 32900446208 33848261797 34419682304 37229452288 37491206144 38683727768 40873372736 42424259584 44209974592 46712425984 49356525568 50378808256 50525685248 53385629696 57007598816 57575780864 60834787328 65151541504 65800892416 67696523594 68839364608 74458904576 74982412288 77367455536 81746745472 84848519168 88419949184 93424851968 100757616512 101051370496 114015197632 115151561728 130303083008 135393047188 137678729216 148917809152 154734911072 163493490944 169697038336 176839898368 186849703936 201515233024 202102740992 228030395264 230303123456 260606166016 270786094376 309469822144 326986981888 353679796736 373699407872 403030466048 404205481984 456060790528 460606246912 521212332032 541572188752 618939644288 653973963776 707359593472 806060932096 912121581056 1042424664064 1083144377504 1237879288576 1307947927552 1414719186944 1612121864192 1824243162112 2166288755008 2475758577152 2615895855104 2829438373888 3224243728384 3648486324224 4332577510016 4951517154304 7296972648448 8665155020032 9903034308608 17330310040064 19806068617216 34660620080128 69321240160256 138642480320512
- Sum of all divisors σ(n): 355139414952000
- Sum of proper divisors (its aliquot sum) s(n): 216496934631488
- 138642480320512 is an abundant number, because the sum of its proper divisors (216496934631488) is greater than itself. Its abundance is 77854454310976
Bases of 138642480320512
- Binary: 111111000011000001101111100101001010000000000002
- Hexadecimal: 0x7E1837CA5000
- Base-36: 1D57H551J4
Squares and roots of 138642480320512
- 138642480320512 squared (1386424803205122) is 19221737349423557202247942144
- 138642480320512 cubed (1386424803205123) is 2664949342193506022279959439747569552457728
-
The
square root of 138642480320512 is 11774654.1486581253 -
The
cube root of 138642480320512 is 51756.5643545647
Scales and comparisons
How big is 138642480320512?- 138,642,480,320,512 seconds is equal to 4,408,402 years, 1 week, 2 days, 1 hour, 1 minute, 52 seconds.
-
To count from 1 to 138,642,480,320,512 would take you about eleven million, twenty-one thousand and five 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 138642480320512 cubic inches would be around 4313 feet tall.
Recreational maths with 138642480320512
- 138642480320512 backwards is 215023084246831
- 138642480320512 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138642480320512's digits is 49
- More coming soon!
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The information we have on file for 138642480320512 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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