138223799651031976

Names of 138223799651031976

• Cardinal: 138223799651031976 can be written as One hundred thirty-eight quadrillion, two hundred twenty-three trillion, seven hundred ninety-nine billion, six hundred fifty-one million, thirty-one thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 1.38223799651031976 × 10¹⁷

Factors of 138223799651031976

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1290

Divisors of 138223799651031976

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 14 28 41 49 53 56 82 98 106 164 196 212 287 328 371 392 424 574 742 1148 1187 1484 1681 2009 2173 2296 2374 2597 2809 2968 3362 4018 4346 4748 5194 5618 6724 8036 8309 8692 9496 10388 11236 11767 13448 15211 16072 16618 17384 19663 20776 22472 23534 30422 33236 39326 47068 48667 58163 60844 62911 66472 78652 82369 89093 94136 97334 106477 115169 116326 121688 125822 137641 148877 157304 164738 178186 194668 212954 230338 232652 251644 275282 297754 329476 340669 356372 389336 425908 440377 460676 465304 503288 550564 595508 623651 658952 681338 712744 806183 851816 880754 921352 1042139 1101128 1191016 1247302 1362676 1408969 1612366 1761508 1995347 2084278 2384683 2494604 2579351 2725352 2817938 3082639 3224732 3334283 3523016 3990694 4168556 4365557 4721929 4769366 4989208 5158702 5635876 5643281 6103957 6165278 6449464 6668566 7294973 7981388 8337112 8731114 9443858 9538732 9862783 10317404 11271752 11286562 12207914 12330556 13337132 13967429 14589946 15962776 17462228 18055457 18887716 19077464 19725566 20634808 22573124 23339981 24415828 24661112 26674264 27934858 29179892 33053503 34924456 36110914 37775432 39451132 42727699 45146248 46679962 48831656 55869716 57767729 58359784 66107006 69039481 72221828 74675357 78902264 85455398 93359924 97772003 105753391 111739432 115535458 126388199 132214012 136705603 138078962 144443656 149350714 163379867 170910796 176716999 186719848 195544006 211506782 231070916 231374521 250262237 252776398 264428024 273411206 276157924 298701428 299093893 326759734 341821592 353433998 391088012 404374103 423013564 462141832 462749042 500524474 505552796 522727499 546822412 552315848 597402856 598187786 653519468 706867996 740273737 782176024 808748206 846027128 925498084 956939221 1001048948 1011105592 1045454998 1093644824 1196375572 1237018993 1307038936 1413735992 1480547474 1617496412 1751835659 1850996168 1913878442 2002097896 2090909996 2368476889 2392751144 2474037986 2830618721 2961094948 3061689637 3234992824 3503671318 3659092493 3827756884 3957793921 4181819992 4736953778 4948075972 5181916159 5604929723 5661237442 5922189896 6123379274 6698574547 7007342636 7245396959 7318184986 7655513768 7915587842 8659132951 9473907556 9896151944 10363832318 11209859446 11322474884 12246758548 12262849613 13397149094 14014685272 14490793918 14636369972 15831175684 16579338223 17318265902 18947815112 20727664636 21431827459 22419718892 22644949768 24493517096 24525699226 26794298188 27704557447 28981587836 29272739944 31662351368 33158676446 34636531804 39234508061 41455329272 42863654918 44839437784 49051398452 50717778713 53588596376 55409114894 57963175672 66317352892 69273063608 78469016122 85727309836 98102796904 101435557426 110818229788 116055367561 125529275117 132634705784 150022792213 156938032244 162269550761 171454619672 193931902129 202871114852 209763077813 221636459576 232110735122 251058550234 274641556427 297061275319 300045584426 313876064488 324539101522 355024450991 387863804258 405742229704 419526155626 464221470244 502117100468 549283112854 594122550638 600091168852 649078203044 710048901982 775727608516 839052311252 878704925819 928442940488 1004234200936 1098566225708 1135886855327 1188245101276 1200182337704 1298156406088 1420097803964 1468341544691 1551455217032 1678104622504 1757409851638 2079428927233 2197132451416 2271773710654 2376490202552 2840195607928 2936683089382 3514819703276 4158857854466 4543547421308 5873366178764 6150934480733 6653051581201 7029639406552 7951207987289 8317715708932 8600286190333 9087094842616 10278390812837 11746732357528 12301868961466 13306103162402 14556002490631 15902415974578 16635431417864 17200572380666 20556781625674 24603737922932 26612206324804 29112004981262 31804831949156 34401144761332 41113563251348 46571361068407 49207475845864 53224412649608 58224009962524 60202003332331 63609663898312 68802289522664 82227126502696 93142722136814 116448019925048 120404006664662 186285444273628 240808013329324 325999527478849 352611733803653 372570888547256 421414023326317 481616026658648 651999054957698 705223467607306 842828046652634 1303998109915396 1410446935214612 1685656093305268 2468282136625571 2607996219830792 2820893870429224 3371312186610536 4936564273251142 9873128546502284 17277974956378997 19746257093004568 34555949912757994 69111899825515988 138223799651031976
• Sum of all divisors σ(n): 315223755985964700
• Sum of proper divisors (its aliquot sum) s(n): 176999956334932724
• 138223799651031976 is an abundant number, because the sum of its proper divisors (176999956334932724) is greater than itself. Its abundance is 38776156683900748

Bases of 138223799651031976

• Binary: 111101011000100011101000000111101101101000101101110101000₂
• Hexadecimal: 0x1EB11D03DB45BA8
• Base-36: 11T08WXZH57S

Squares and roots of 138223799651031976

• 138223799651031976 squared (138223799651031976²) is 19105818789968627410236281774464576
• 138223799651031976 cubed (138223799651031976³) is 2640878868593545731389594835394844036166683255282176
• The square root of 138223799651031976 is 371784614.5969894435
• The cube root of 138223799651031976 is 517044.1265582841

Scales and comparisons

• 138,223,799,651,031,976 seconds is equal to 4,395,089,274 years, 32 weeks, 1 day, 26 minutes, 16 seconds.
• To count from 1 to 138,223,799,651,031,976 would take you about thirteen billion, one hundred eighty-five million, two hundred sixty-seven thousand, eight hundred twenty-three 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 138223799651031976 cubic inches would be around 43087 feet tall.

Recreational maths with 138223799651031976

• 138223799651031976 backwards is 679130156997322831
• 138223799651031976 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138223799651031976's digits is 82
• More coming soon!