138301798918800

Names of 138301798918800

• Cardinal: 138301798918800 can be written as One hundred thirty-eight trillion, three hundred one billion, seven hundred ninety-eight million, nine hundred eighteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.383017989188 × 10¹⁴

Factors of 138301798918800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 616318215

Divisors of 138301798918800

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 33 34 40 44 48 50 51 55 60 66 68 75 80 85 88 100 102 110 120 132 136 150 165 170 176 187 200 204 220 240 255 264 272 275 300 330 340 374 400 408 425 440 510 528 550 561 600 660 680 748 816 825 850 880 935 1020 1100 1122 1200 1275 1320 1360 1496 1650 1700 1870 2040 2200 2244 2550 2640 2805 2992 3300 3400 3740 4080 4400 4488 4675 5100 5610 6600 6800 7480 8976 9350 10200 11220 13200 14025 14960 18700 20400 22440 28050 37400 44880 56100 74800 112200 224400 616318177 1232636354 1848954531 2465272708 3081590885 3697909062 4930545416 6163181770 6779499947 7395818124 9244772655 9861090832 10477409009 12326363540 13558999894 14791636248 15407954425 18489545310 20338499841 20954818018 24652727080 27117999788 29583272496 30815908850 31432227027 33897499735 36979090620 40676999682 41909636036 46223863275 49305454160 52387045045 54235999576 61631817700 62864454054 67794999470 73958181240 81353999364 83819272072 92447726550 101692499205 104774090090 108471999152 115251499099 123263635400 125728908108 135589998940 147916362480 157161135135 162707998728 167638544144 169487498675 184895453100 203384998410 209548180180 230502998198 246527270800 251457816216 261935225225 271179997880 314322270270 325415997456 338974997350 345754497297 369790906200 406769996820 419096360360 461005996396 502915632432 508462496025 523870450450 542359995760 576257495495 628644540540 677949994700 691508994594 739581812400 785805675675 813539993640 838192720720 922011992792 1016924992050 1047740900900 1152514990990 1257289081080 1355899989400 1383017989188 1571611351350 1627079987280 1728772486485 1844023985584 2033849984100 2095481801800 2305029981980 2514578162160 2711799978800 2766035978376 2881287477475 3143222702700 3457544972970 4067699968200 4190963603600 4610059963960 5532071956752 5762574954950 6286445405400 6915089945940 8135399936400 8643862432425 9220119927920 11525149909900 12572890810800 13830179891880 17287724864850 23050299819800 27660359783760 34575449729700 46100599639600 69150899459400 138301798918800
• Sum of all divisors σ(n): 511731448466112
• Sum of proper divisors (its aliquot sum) s(n): 373429649547312
• 138301798918800 is an abundant number, because the sum of its proper divisors (373429649547312) is greater than itself. Its abundance is 235127850628512

Bases of 138301798918800

• Binary: 11111011100100011100101100110001010101010010000₂
• Hexadecimal: 0x7DC8E598AA90
• Base-36: 1D0UYW89LC

Squares and roots of 138301798918800

• 138301798918800 squared (138301798918800²) is 19127387584176188848993440000
• 138301798918800 cubed (138301798918800³) is 2645352111508686978944425556660292672000000
• The square root of 138301798918800 is 11760178.5241041303
• The cube root of 138301798918800 is 51714.1363743919

Scales and comparisons

• 138,301,798,918,800 seconds is equal to 4,397,569 years, 21 weeks, 2 days, 6 hours, 20 minutes.
• To count from 1 to 138,301,798,918,800 would take you about ten million, nine hundred ninety-three thousand, nine 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 138301798918800 cubic inches would be around 4309.5 feet tall.

Recreational maths with 138301798918800

• 138301798918800 backwards is 008819897103831
• 138301798918800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138301798918800's digits is 66
• More coming soon!