642125988013419

Names of 642125988013419

• Cardinal: 642125988013419 can be written as Six hundred forty-two trillion, one hundred twenty-five billion, nine hundred eighty-eight million, thirteen thousand, four hundred nineteen.

Scientific notation

• Scientific notation: 6.42125988013419 × 10¹⁴

Factors of 642125988013419

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 173

Divisors of 642125988013419

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 7 9 13 21 27 39 63 71 79 81 91 117 169 189 213 237 243 273 351 497 507 553 567 639 711 819 923 1027 1053 1183 1491 1521 1659 1701 1917 2133 2457 2769 3081 3159 3549 4473 4563 4977 5041 5609 5751 6241 6399 6461 7189 7371 8307 9243 10647 11999 13351 13419 13689 14931 15123 16827 17253 18723 19197 19383 21567 22113 24921 27729 31941 35287 35997 39263 40053 40257 41067 43687 44793 45369 50481 56169 58149 64701 65533 72917 74763 81133 83187 83993 93457 95823 105861 107991 117789 120159 120771 131061 134379 136107 151443 168507 174447 194103 196599 218751 224289 243399 249561 251979 280371 287469 317583 323973 353367 357911 360477 393183 398239 408321 443111 454329 458731 505521 510419 523341 567931 582309 589797 656253 730197 755937 841113 851929 947921 952749 971919 1054729 1060101 1073733 1081431 1179549 1194717 1224963 1329333 1362987 1376193 1516563 1531257 1570023 1703793 1746927 1769391 1968759 2190591 2267811 2505377 2523339 2555787 2787673 2843763 2858247 2915757 3101777 3164187 3180303 3221199 3244293 3538647 3584151 3987999 4128579 4593771 4652843 5111379 5177107 5308173 5760443 5906277 5963503 6571773 6635447 6803433 7383103 7516131 7570017 7667361 8363019 8531289 8574741 9305331 9492561 9540909 9663597 10615941 10752453 11963997 12385737 13781313 13958529 15334137 15531321 15924519 17281329 17718831 17890509 19715319 19906341 20410299 22149309 22548393 22710051 23002083 25089057 25593867 27915993 28274969 28477683 28990791 31460881 32257359 32569901 35891991 36239749 37157211 40323101 41343939 41875587 46002411 46593963 51843987 53671527 59719023 60486959 66447927 67302391 67645179 69006249 74885759 75267171 76781601 83747979 84824907 85433049 86972373 94382643 96772077 97709703 107675973 108719247 111471633 120969303 124031817 125626761 138007233 139781889 155531961 161014581 179157069 181460877 197924783 199343781 201907173 202935537 207018747 220226167 224657277 225801513 230344803 251243937 254474721 256299147 283147929 293129109 326157741 362907909 367574597 376880283 408991453 419345667 423408713 466595883 471116737 483043743 524200313 537471207 544382631 593774349 598031343 605721519 608806611 660678501 673971831 677404539 753731811 763424163 849443787 879387327 978473223 1088723727 1102723791 1130640849 1226974359 1258037001 1270226139 1399787649 1413350211 1449131229 1572600939 1612413621 1633147893 1781323047 1794094029 1817164557 1982035503 2021915493 2233722551 2290272489 2548331361 2573022179 2638161981 2862940171 2935419669 3266171181 3308171373 3680923077 3810678417 4240050633 4717802817 4778469761 4899443679 5316888889 5343969141 5451493671 5946106509 6065746479 6701167653 6870817467 7644994083 7719066537 7914485943 8588820513 8806259007 9798513543 9924514119 11042769231 11432035251 12720151899 14153408451 14335409283 14698331037 15636057857 15950666667 16031907423 16354481013 17838319527 18197239437 20103502959 23157199611 25766461539 29038393163 29773542357 33128307693 33449288327 34296105753 37218222223 38160455697 42460225353 43006227849 46908173571 47852000001 48095722269 53514958581 60310508877 69471598833 77299384617 87115179489 89320627071 99384923079 100347864981 102888317259 111654666669 114481367091 127380676059 129018683547 140724520713 143556000003 180931526631 203268752141 208414796499 231898153851 261345538467 301043594943 334964000007 377499111119 387056050641 422173562139 430668000009 542794579893 609806256423 625244389497 695694461553 784036615401 903130784829 1004892000021 1132497333357 1161168151923 1266520686417 1292004000027 1829418769269 2352109846203 2642493777833 2709392354487 3014676000063 3397492000071 3799562059251 5488256307807 7056329538609 7927481333499 8128177063461 9044028000189 10192476000213 16464768923421 23782444000497 30577428000639 49394306770263 71347332001491 91732284001917 214041996004473 642125988013419
• Sum of all divisors σ(n): 1222822971062784
• Sum of proper divisors (its aliquot sum) s(n): 580696983049365
• 642125988013419 is a deficient number, because the sum of its proper divisors (580696983049365) is less than itself. Its deficiency is 61429004964054

Bases of 642125988013419

• Binary: 10010010000000001010011011011010101010010101101011₂
• Hexadecimal: 0x248029B6AA56B
• Base-36: 6BM4LU27OR

Squares and roots of 642125988013419

• 642125988013419 squared (642125988013419²) is 412325784482209521266124069561
• 642125988013419 cubed (642125988013419³) is 264765101744046856967983698663307970157439059
• The square root of 642125988013419 is 25340204.9718114751
• The cube root of 642125988013419 is 86272.7051005195

Scales and comparisons

• 642,125,988,013,419 seconds is equal to 20,417,620 years, 10 weeks, 3 hours, 43 minutes, 39 seconds.
• To count from 1 to 642,125,988,013,419 would take you about fifty-one million, forty-four thousand and fifty 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 642125988013419 cubic inches would be around 7189.4 feet tall.

Recreational maths with 642125988013419

• 642125988013419 backwards is 914310889521246
• 642125988013419 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 642125988013419's digits is 63
• More coming soon!