137925799968768

Names of 137925799968768

• Cardinal: 137925799968768 can be written as One hundred thirty-seven trillion, nine hundred twenty-five billion, seven hundred ninety-nine million, nine hundred sixty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37925799968768 × 10¹⁴

Factors of 137925799968768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 636

Divisors of 137925799968768

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 512 544 607 672 714 768 816 896 952 1024 1088 1214 1344 1428 1536 1632 1792 1821 1904 2048 2176 2428 2688 2856 3072 3264 3584 3642 3808 4096 4249 4352 4856 5376 5712 6144 6528 7168 7284 7616 8192 8498 8704 9712 10319 10752 11424 12288 12747 13056 14336 14568 15232 16384 16996 17408 19424 20638 21504 22848 24576 25494 26112 28672 29136 30464 30957 32768 33992 34816 38848 41276 43008 45696 49152 50988 52224 57344 58272 60928 61914 65536 67984 69632 72233 77696 82552 86016 91392 98304 101976 104448 114688 116544 121856 123828 131072 135968 139264 144466 155392 165104 172032 182784 196608 203952 208896 216699 229376 233088 243712 247656 262144 271936 278528 288932 310784 330208 344064 365568 368449 393216 407904 417792 433398 458752 466176 487424 495312 524288 543872 557056 577864 621568 660416 688128 731136 736898 786432 815808 835584 866796 917504 932352 974848 990624 1048576 1087744 1105347 1114112 1155728 1243136 1320832 1376256 1462272 1473796 1572864 1631616 1671168 1733592 1835008 1864704 1949696 1981248 2175488 2210694 2228224 2311456 2486272 2579143 2641664 2752512 2924544 2947592 3145728 3263232 3342336 3467184 3670016 3729408 3899392 3962496 4350976 4421388 4456448 4622912 4972544 5158286 5283328 5505024 5849088 5895184 6263633 6526464 6684672 6934368 7340032 7458816 7737429 7798784 7924992 8701952 8842776 8912896 9245824 9945088 10316572 10566656 11010048 11698176 11790368 12527266 13052928 13369344 13868736 14917632 15474858 15597568 15849984 17403904 17685552 17825792 18491648 18790899 19890176 20633144 21133312 22020096 23396352 23580736 25054532 26105856 26738688 27737472 29835264 30949716 31195136 31699968 34807808 35371104 36983296 37581798 39780352 41266288 42266624 43845431 46792704 47161472 50109064 52211712 53477376 55474944 59670528 61899432 62390272 63399936 69615616 70742208 73966592 75163596 79560704 82532576 84533248 87690862 93585408 94322944 100218128 104423424 110949888 119341056 123798864 124780544 126799872 131536293 139231232 141484416 147933184 150327192 159121408 165065152 169066496 175381724 187170816 188645888 200436256 208846848 221899776 238682112 247597728 253599744 263072586 278462464 282968832 295866368 300654384 318242816 330130304 338132992 350763448 374341632 377291776 400872512 417693696 443799552 477364224 495195456 507199488 526145172 556924928 565937664 591732736 601308768 636485632 660260608 676265984 701526896 754583552 801745024 835387392 887599104 954728448 990390912 1014398976 1052290344 1113849856 1131875328 1183465472 1202617536 1320521216 1352531968 1403053792 1509167104 1603490048 1670774784 1775198208 1909456896 1980781824 2028797952 2104580688 2227699712 2263750656 2366930944 2405235072 2641042432 2705063936 2806107584 3018334208 3206980096 3341549568 3550396416 3961563648 4057595904 4209161376 4455399424 4527501312 4733861888 4810470144 5282084864 5410127872 5612215168 6036668416 6413960192 6683099136 7100792832 7923127296 8115191808 8418322752 9055002624 9467723776 9620940288 10564169728 10820255744 11224430336 12073336832 12827920384 13366198272 14201585664 15846254592 16230383616 16836645504 18110005248 18935447552 19241880576 21128339456 22448860672 24146673664 25655840768 28403171328 31692509184 32460767232 33673291008 36220010496 37870895104 38483761152 42256678912 44897721344 48293347328 51311681536 56806342656 63385018368 67346582016 72440020992 75741790208 76967522304 84513357824 89795442688 96586694656 102623363072 113612685312 126770036736 134693164032 144880041984 153935044608 169026715648 179590885376 193173389312 205246726144 227225370624 253540073472 269386328064 289760083968 307870089216 338053431296 359181770752 386346778624 410493452288 507080146944 538772656128 579520167936 615740178432 676106862592 718363541504 820986904576 1014160293888 1077545312256 1159040335872 1231480356864 1352213725184 1436727083008 1641973809152 2028320587776 2155090624512 2462960713728 2704427450368 2873454166016 3283947618304 4056641175552 4310181249024 4925921427456 5746908332032 6567895236608 8113282351104 8620362498048 9851842854912 11493816664064 17240724996096 19703685709824 22987633328128 34481449992192 45975266656256 68962899984384 137925799968768
• Sum of all divisors σ(n): 445805715805632
• Sum of proper divisors (its aliquot sum) s(n): 307879915836864
• 137925799968768 is an abundant number, because the sum of its proper divisors (307879915836864) is greater than itself. Its abundance is 169954115868096

Bases of 137925799968768

• Binary: 11111010111000101011010010100000000000000000000₂
• Hexadecimal: 0x7D715A500000
• Base-36: 1CW28K5UYO

Squares and roots of 137925799968768

• 137925799968768 squared (137925799968768²) is 19023526297024602829775437824
• 137925799968768 cubed (137925799968768³) is 2623835082744013191670368686645912725880832
• The square root of 137925799968768 is 11744181.5367767541
• The cube root of 137925799968768 is 51667.2290337991

Scales and comparisons

• 137,925,799,968,768 seconds is equal to 4,385,613 years, 41 weeks, 6 days, 13 hours, 32 minutes, 48 seconds.
• To count from 1 to 137,925,799,968,768 would take you about ten million, nine hundred sixty-four thousand and thirty-four 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 137925799968768 cubic inches would be around 4305.6 feet tall.

Recreational maths with 137925799968768

• 137925799968768 backwards is 867869997529731
• 137925799968768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137925799968768's digits is 96
• More coming soon!