138696978354908302464

Names of 138696978354908302464

• Cardinal: 138696978354908302464 can be written as One hundred thirty-eight quintillion, six hundred ninety-six quadrillion, nine hundred seventy-eight trillion, three hundred fifty-four billion, nine hundred eight million, three hundred two thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.38696978354908302464 × 10²⁰

Factors of 138696978354908302464

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3510179

Divisors of 138696978354908302464

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 11712 19121 23424 38242 57363 76484 91081 114726 152968 182162 229452 273243 305936 364324 458904 546486 611872 728648 917808 1092972 1166381 1223744 1457296 1835616 2185944 2332762 2447488 2914592 3399911 3499143 3671232 4371888 4665524 5555941 5829184 6799822 6998286 7342464 8743776 9331048 10199733 11111882 11658368 13599644 13996572 16667823 17487552 18662096 20399466 22223764 27199288 27993144 33335646 34975104 37324192 40798932 44447528 54398576 55986288 66671292 74648384 81597864 88895056 108797152 111972576 133342584 149296768 163195728 177790112 207394571 217594304 223945152 266685168 326391456 355580224 414789142 435188608 447890304 533370336 622183713 652782912 711160448 829578284 1066740672 1244367426 1305565824 1659156568 1741559801 2133481344 2488734852 3318313136 3483119602 4977469704 5224679403 6636626272 6966239204 9954939408 10449358806 13273252544 13932478408 19909878816 20898717612 26546505088 27864956816 39819757632 41797435224 55729913632 65009698231 79639515264 83594870448 106235147861 111459827264 130019396462 167189740896 195029094693 212470295722 222919654528 260038792924 309667293791 318705443583 334379481792 390058189386 424940591444 520077585848 619334587582 637410887166 668758963584 780116378772 849881182888 929001881373 1040155171696 1238669175164 1274821774332 1560232757544 1699762365776 1858003762746 2080310343392 2477338350328 2549643548664 3120465515088 3399524731552 3716007525492 3965591592091 4160620686784 4954676700656 5099287097328 6240931030176 6799049463104 7432015050984 7931183184182 8321241373568 9909353401312 10198574194656 11896774776273 12481862060352 13598098926208 14864030101968 15862366368364 18889704921251 19818706802624 20397148389312 23793549552546 24963724120704 29728060203936 31724732736728 37779409842502 39637413605248 40794296778624 47587099105092 56669114763753 59456120407872 63449465473456 75558819685004 95174198210184 113338229527506 118912240815744 126898930946912 151117639370008 190348396420368 226676459055012 253797861893824 302235278740016 380696792840736 453352918110024 507595723787648 604470557480032 761393585681472 906705836220048 1208941114960064 1522787171362944 1813411672440096 2417882229920128 3626823344880192 5921148324577711 7253646689760384 11842296649155422 17763444973733133 23684593298310844 35526889947466266 47369186596621688 71053779894932532 94738373193243376 142107559789865064 189476746386486752 284215119579730128 361190047799240371 378953492772973504 568430239159460256 722380095598480742 757906985545947008 1083570143397721113 1136860478318920512 1444760191196961484 2167140286795442226 2273720956637841024 2889520382393922968 4334280573590884452 5779040764787845936 8668561147181768904 11558081529575691872 17337122294363537808 23116163059151383744 34674244588727075616 46232326118302767488 69348489177454151232 138696978354908302464
• Sum of all divisors σ(n): 374477224977491339520
• Sum of proper divisors (its aliquot sum) s(n): 235780246622583037056
• 138696978354908302464 is an abundant number, because the sum of its proper divisors (235780246622583037056) is greater than itself. Its abundance is 97083268267674734592

Bases of 138696978354908302464

• Binary: 1111000010011001110101001101111011100111000010110100000110010000000₂
• Hexadecimal: 0x784CEA6F7385A0C80
• Base-36: T9R5ZHRP84AYO

Squares and roots of 138696978354908302464

• 138696978354908302464 squared (138696978354908302464²) is 19236851804781902163693410741878108471296
• 138696978354908302464 cubed (138696978354908302464³) is 2668093218384414197982617003076588748267217296238921430073344
• The square root of 138696978354908302464 is 11776968130.8437063487
• The cube root of 138696978354908302464 is 5176334.5012070053

Scales and comparisons

• 138,696,978,354,908,302,464 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,696,978,354,908,302,464 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138696978354908302464 cubic inches would be around 431361.2 feet tall.

Recreational maths with 138696978354908302464

• 138696978354908302464 backwards is 464203809453879696831
• The number of decimal digits it has is: 21
• The sum of 138696978354908302464's digits is 105
• More coming soon!