31879935402001056

Names of 31879935402001056

• Cardinal: 31879935402001056 can be written as Thirty-one quadrillion, eight hundred seventy-nine trillion, nine hundred thirty-five billion, four hundred two million, one thousand and fifty-six.

Scientific notation

• Scientific notation: 3.1879935402001056 × 10¹⁶

Factors of 31879935402001056

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 105215

Divisors of 31879935402001056

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 19 24 31 32 34 36 38 48 51 57 62 68 72 76 93 96 102 114 124 136 144 152 153 171 186 204 228 248 272 279 288 304 306 323 342 372 408 456 496 527 544 558 589 608 612 646 684 744 816 912 969 992 1054 1116 1178 1224 1292 1368 1488 1581 1632 1767 1824 1938 2108 2232 2356 2448 2584 2736 2907 2976 3162 3534 3876 4216 4464 4712 4743 4896 5168 5301 5472 5814 6324 7068 7752 8432 8928 9424 9486 10013 10336 10602 11628 12648 14136 15504 16864 18848 18972 20026 21204 23256 25296 28272 30039 31008 37944 40052 42408 46512 50592 56544 60078 75888 80104 84816 90117 93024 105143 120156 151776 160208 169632 180234 210286 240312 315429 320416 360468 420572 480624 630858 720936 841144 946287 961248 1261716 1441872 1682288 1787431 1892574 1997717 2523432 2883744 3259433 3364576 3574862 3785148 3995434 5046864 5362293 5993151 6518866 7149724 7570296 7990868 9778299 10093728 10724586 11986302 13037732 14299448 15140592 15981736 16086879 17979453 19556598 21449172 23972604 26075464 28598896 29334897 30281184 31963472 32173758 33961189 35958906 39113196 42898344 47945208 52150928 55410361 57197792 58669794 61929227 63926944 64347516 67922378 71917812 78226392 85796688 95890416 101883567 104301856 110820722 117339588 123858454 128695032 135844756 143835624 156452784 166231083 171593376 185787681 191780832 203767134 221641444 234679176 247716908 257390064 271689512 287671248 305650701 312905568 332462166 371575362 407534268 443282888 469358352 495433816 498693249 514780128 543379024 557363043 575342496 611301402 664924332 743150724 815068536 886565776 938716704 990867632 997386498 1052796859 1086758048 1114726086 1222602804 1329848664 1486301448 1630137072 1773131552 1981735264 1994772996 2105593718 2229452172 2445205608 2659697328 2972602896 3158390577 3260274144 3989545992 4211187436 4458904344 4890411216 5319394656 5945205792 6316781154 7979091984 8422374872 8917808688 9475171731 9780822432 11055050449 12633562308 15958183968 16844749744 17835617376 18950343462 22110100898 25267124616 33165151347 33689499488 37900686924 44220201796 50534249232 66330302694 75801373848 88440403592 99495454041 101068498464 132660605388 151602747696 176880807184 187935857633 198990908082 210045958531 265321210776 303205495392 342706563919 353761614368 375871715266 397981816164 420091917062 530642421552 563807572899 630137875593 685413127838 751743430532 795963632328 840183834124 1028119691757 1061284843104 1127615145798 1260275751186 1370826255676 1503486861064 1591927264656 1680367668248 1691422718697 1890413626779 2056239383514 2255230291596 2520551502372 2741652511352 3006973722128 3084359075271 3183854529312 3360735336496 3382845437394 3570781295027 3780827253558 4112478767028 4510460583192 5041103004744 5483305022704 5826011586623 6013947444256 6168718150542 6511424714461 6721470672992 6765690874788 7141562590054 7561654507116 8224957534056 9020921166384 10082206009488 10712343885081 10966610045408 11652023173246 12337436301084 13022849428922 13531381749576 14283125180108 15123309014232 16449915068112 17478034759869 18041842332768 19534274143383 20164412018976 21424687770162 23304046346492 24674872602168 26045698857844 27062763499152 28566250360216 30246618028464 32137031655243 32899830136224 34956069519738 39068548286766 42849375540324 46608092692984 49349745204336 52091397715688 52434104279607 54125526998304 57132500720432 58602822430149 60493236056928 64274063310486 69912139039476 78137096573532 85698751080648 93216185385968 98699490408672 104182795431376 104868208559214 110694220145837 114265001440864 117205644860298 128548126620972 139824278078952 156274193147064 171397502161296 186432370771936 208365590862752 209736417118428 221388440291674 234411289720596 257096253241944 279648556157904 312548386294128 332082660437511 342795004322592 419472834236856 442776880583348 468822579441192 514192506483888 559297112315808 625096772588256 664165320875022 838945668473712 885553761166696 937645158882384 996247981312533 1028385012967776 1328330641750044 1677891336947424 1771107522333392 1875290317764768 1992495962625066 2656661283500088 3542215044666784 3984991925250132 5313322567000176 7969983850500264 10626645134000352 15939967701000528 31879935402001056
• Sum of all divisors σ(n): 104304066401283840
• Sum of proper divisors (its aliquot sum) s(n): 72424130999282784
• 31879935402001056 is an abundant number, because the sum of its proper divisors (72424130999282784) is greater than itself. Its abundance is 40544195597281728

Bases of 31879935402001056

• Binary: 1110001010000101010000111100001000110010100001010100000₂
• Hexadecimal: 0x7142A1E11942A0
• Base-36: 8PWHS52T7S0

Squares and roots of 31879935402001056

• 31879935402001056 squared (31879935402001056²) is 1016330281235760232027569025115136
• 31879935402001056 cubed (31879935402001056³) is 32400543712893602174176416966571672405335193583616
• The square root of 31879935402001056 is 178549532.0688381307
• The cube root of 31879935402001056 is 317082.6488647599

Scales and comparisons

• 31,879,935,402,001,056 seconds is equal to 1,013,683,334 years, 34 weeks, 5 days, 10 hours, 57 minutes, 36 seconds.
• To count from 1 to 31,879,935,402,001,056 would take you about three billion, forty-one million, fifty thousand and 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 31879935402001056 cubic inches would be around 26423.6 feet tall.

Recreational maths with 31879935402001056

• 31879935402001056 backwards is 65010020453997813
• The number of decimal digits it has is: 17
• The sum of 31879935402001056's digits is 63
• More coming soon!