138261820828811264
138,261,820,828,811,264 is an even composite number composed of five prime numbers multiplied together.
138261820828811264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138261820828811264:
223 × 13 × 472 × 61 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 47 × 47 × 61 × 97 × 97)See below for interesting mathematical facts about the number 138261820828811264 from the Numbermatics database.
Names of 138261820828811264
- Cardinal: 138261820828811264 can be written as One hundred thirty-eight quadrillion, two hundred sixty-one trillion, eight hundred twenty billion, eight hundred twenty-eight million, eight hundred eleven thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38261820828811264 × 1017
Factors of 138261820828811264
Divisors of 138261820828811264
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 8 13 16 26 32 47 52 61 64 94 97 104 122 128 188 194 208 244 256 376 388 416 488 512 611 752 776 793 832 976 1024 1222 1261 1504 1552 1586 1664 1952 2048 2209 2444 2522 2867 3008 3104 3172 3328 3904 4096 4418 4559 4888 5044 5734 5917 6016 6208 6344 6656 7808 8192 8836 9118 9409 9776 10088 11468 11834 12032 12416 12688 13312 15616 16384 17672 18236 18818 19552 20176 22936 23668 24064 24832 25376 26624 28717 31232 32768 35344 36472 37271 37636 39104 40352 45872 47336 48128 49664 50752 53248 57434 59267 62464 65536 70688 72944 74542 75272 76921 78208 80704 91744 94672 96256 99328 101504 106496 114868 118534 122317 124928 131072 134749 141376 145888 149084 150544 153842 156416 161408 183488 189344 192512 198656 203008 212992 214273 229736 237068 244634 249856 262144 269498 278099 282752 291776 298168 301088 307684 312832 322816 366976 378688 385024 397312 406016 425984 428546 442223 459472 474136 489268 499712 524288 538996 556198 565504 573949 583552 596336 602176 615368 625664 645632 733952 757376 770048 794624 812032 851968 857092 884446 918944 948272 978536 999424 1048576 1077992 1112396 1131008 1147898 1167104 1192672 1204352 1230736 1251328 1291264 1467904 1514752 1540096 1589248 1624064 1703936 1714184 1751737 1768892 1837888 1896544 1957072 1998848 2097152 2155984 2224792 2262016 2295796 2334208 2385344 2408704 2461472 2502656 2582528 2785549 2935808 3029504 3080192 3178496 3248128 3407872 3428368 3503474 3537784 3615287 3675776 3793088 3914144 3997696 4194304 4311968 4449584 4524032 4591592 4668416 4770688 4817408 4922944 5005312 5165056 5571098 5748899 5871616 6059008 6160384 6356992 6496256 6815744 6856736 7006948 7075568 7230574 7351552 7461337 7586176 7828288 7995392 8388608 8623936 8899168 9048064 9183184 9336832 9541376 9634816 9845888 10010624 10330112 11142196 11497798 11743232 12118016 12320768 12713984 12992512 13070653 13631488 13713472 14013896 14151136 14461148 14703104 14922674 15172352 15656576 15990784 17247872 17798336 18096128 18366368 18673664 19082752 19269632 19691776 20021248 20660224 20784481 22284392 22995596 23486464 24236032 24641536 25427968 25985024 26141306 26975603 27262976 27426944 28027792 28302272 28922296 29406208 29845348 30344704 31313152 31981568 34495744 35596672 36192256 36732736 37347328 38165504 38539264 39383552 40042496 41320448 41568962 44568784 45991192 46972928 48472064 49283072 50855936 51970048 52282612 53951206 54525952 54853888 56055584 56604544 57844592 58812416 59690696 60689408 62626304 63963136 68991488 71193344 72384512 73465472 74694656 76331008 77078528 78767104 80084992 82640896 83137924 89137568 91982384 93945856 96944128 98566144 101711872 103940096 104565224 107902412 109051904 109707776 112111168 113209088 115689184 117624832 119381392 121378816 125252608 127926272 137982976 142386688 144769024 146930944 149389312 152662016 154157056 157534208 160169984 165281792 166275848 169918489 178275136 183964768 187891712 193888256 197132288 203423744 207880192 209130448 215804824 219415552 224222336 226418176 231378368 235249664 238762784 242757632 250505216 255852544 270198253 275965952 284773376 289538048 293861888 298778624 305324032 308314112 315068416 320339968 330563584 332551696 339836978 350682839 356550272 367929536 375783424 387776512 394264576 406847488 415760384 418260896 431609648 438831104 448444672 452836352 462756736 470499328 477525568 485515264 501010432 511705088 540396506 551931904 569546752 579076096 587723776 597557248 610648064 616628224 630136832 640679936 661127168 665103392 679673956 701365678 713100544 735859072 751566848 775553024 813694976 831520768 836521792 863219296 877662208 896889344 905672704 925513472 940998656 955051136 971030528 1002020864 1080793012 1103863808 1139093504 1158152192 1175447552 1195114496 1221296128 1233256448 1260273664 1267853341 1281359872 1322254336 1330206784 1359347912 1402731356 1426201088 1471718144 1503133696 1551106048 1663041536 1673043584 1726438592 1755324416 1793778688 1811345408 1851026944 1881997312 1910102272 1942061056 2004041728 2161586024 2207727616 2278187008 2316304384 2350895104 2390228992 2442592256 2466512896 2520547328 2535706682 2562719744 2644508672 2660413568 2718695824 2805462712 2852402176 2943436288 3006267392 3102212096 3326083072 3346087168 3452877184 3510648832 3587557376 3622690816 3702053888 3763994624 3820204544 3884122112 4008083456 4323172048 4415455232 4556374016 4632608768 4701790208 4780457984 4885184512 4933025792 5041094656 5071413364 5125439488 5289017344 5320827136 5437391648 5610925424 5704804352 5886872576 6012534784 6204424192 6652166144 6692174336 6905754368 7021297664 7175114752 7245381632 7404107776 7527989248 7640409088 7768244224 8016166912 8646344096 8830910464 9112748032 9265217536 9403580416 9560915968 9770369024 9866051584 10082189312 10142826728 10578034688 10641654272 10874783296 11221850848 11409608704 11773745152 12025069568 12408848384 13384348672 13811508736 14042595328 14350229504 14490763264 14808215552 15055978496 15280818176 15536488448 16032333824 16482093433 17292688192 17661820928 18225496064 18530435072 18807160832 19121831936 19540738048 19732103168 20164378624 20285653456 21283308544 21749566592 22443701696 22819217408 23547490304 24050139136 24817696768 26768697344 27623017472 28085190656 28700459008 28981526528 29616431104 30111956992 30561636352 31072976896 32064667648 32964186866 34585376384 35323641856 36450992128 37614321664 38243663872 39081476096 39464206336 40328757248 40571306912 42566617088 43499133184 44887403392 45638434816 47094980608 49635393536 53537394688 55246034944 56170381312 57400918016 57963053056 59232862208 60223913984 61123272704 62145953792 64129335296 65928373732 69170752768 70647283712 72901984256 75228643328 78162952192 78928412672 80657514496 81142613824 85133234176 86998266368 89774806784 91276869632 94189961216 107074789376 110492069888 112340762624 114801836032 115926106112 118465724416 120447827968 122246545408 124291907584 128258670592 131856747464 138341505536 141294567424 145803968512 150457286656 156325904384 161315028992 162285227648 170266468352 173996532736 179549613568 182553739264 188379922432 214149578752 220984139776 224681525248 229603672064 231852212224 236931448832 240895655936 244493090816 248583815168 256517341184 263713494928 276683011072 282589134848 291607937024 300914573312 312651808768 322630057984 324570455296 340532936704 347993065472 359099227136 365107478528 376759844864 428299157504 441968279552 449363050496 459207344128 463704424448 473862897664 488986181632 497167630336 513034682368 527426989856 553366022144 565178269696 583215874048 601829146624 645260115968 649140910592 681065873408 695986130944 718198454272 730214957056 753519689728 856598315008 883936559104 898726100992 918414688256 927408848896 947725795328 977972363264 1026069364736 1054853979712 1106732044288 1130356539392 1166431748096 1203658293248 1298281821184 1362131746816 1391972261888 1436396908544 1460429914112 1507039379456 1713196630016 1767873118208 1797452201984 1836829376512 1854817697792 1895451590656 1955944726528 2109707959424 2213464088576 2332863496192 2407316586496 2596563642368 2724263493632 2783944523776 2872793817088 2920859828224 3014078758912 3426393260032 3535746236416 3673658753024 3709635395584 3790903181312 3911889453056 4219415918848 4426928177152 4814633172992 5193127284736 5448526987264 5567889047552 5745587634176 5841719656448 6028157517824 6852786520064 7071492472832 7347317506048 7581806362624 7823778906112 8438831837696 8853856354304 10386254569472 10897053974528 11135778095104 11491175268352 11683439312896 12056315035648 13705573040128 14142984945664 14694635012096 15163612725248 15647557812224 16877663675392 17707712708608 20772509138944 21794107949056 22271556190208 22982350536704 23366878625792 24112630071296 27411146080256 28285969891328 30327225450496 31295115624448 33755327350784 35415425417216 41545018277888 43588215898112 44543112380416 45964701073408 48225260142592 54822292160512 56571939782656 62590231248896 67510654701568 70830850834432 83090036555776 87176431796224 89086224760832 91929402146816 109644584321024 113143879565312 135021309403136 141661701668864 166180073111552 174352863592448 178172449521664 183858804293632 226287759130624 270042618806272 283323403337728 332360146223104 356344899043328 367717608587264 540085237612544 566646806675456 664720292446208 712689798086656 735435217174528 1080170475225088 1133293613350912 1329440584892416 1425379596173312 1470870434349056 2160340950450176 2266587226701824 2658881169784832 2941740868698112 4320681900900352 5317762339569664 8641363801800704 10635524679139328 17282727603601408 34565455207202816 69130910414405632 138261820828811264
- Sum of all divisors σ(n): 312474547781503380
- Sum of proper divisors (its aliquot sum) s(n): 174212726952692116
- 138261820828811264 is an abundant number, because the sum of its proper divisors (174212726952692116) is greater than itself. Its abundance is 35950906123880852
Bases of 138261820828811264
- Binary: 1111010110011010001100100101111001000000000000000000000002
- Hexadecimal: 0x1EB3464BC800000
- Base-36: 11TDQ3MR1QM8
Squares and roots of 138261820828811264
- 138261820828811264 squared (1382618208288112642) is 19116331098898308281209071333277696
- 138261820828811264 cubed (1382618208288112643) is 2643058745300110639001453897059358674366772484767744
-
The
square root of 138261820828811264 is 371835744.4205858809 -
The
cube root of 138261820828811264 is 517091.5299347483
Scales and comparisons
How big is 138261820828811264?- 138,261,820,828,811,264 seconds is equal to 4,396,298,230 years, 24 weeks, 1 day, 27 minutes, 44 seconds.
-
To count from 1 to 138,261,820,828,811,264 would take you about thirteen billion, one hundred eighty-eight million, eight hundred ninety-four thousand, six hundred ninety-one 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 138261820828811264 cubic inches would be around 43091 feet tall.
Recreational maths with 138261820828811264
- 138261820828811264 backwards is 462118828028162831
- The number of decimal digits it has is: 18
- The sum of 138261820828811264's digits is 71
- More coming soon!
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The information we have on file for 138261820828811264 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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