981135244744992

Names of 981135244744992

• Cardinal: 981135244744992 can be written as Nine hundred eighty-one trillion, one hundred thirty-five billion, two hundred forty-four million, seven hundred forty-four thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 9.81135244744992 × 10¹⁴

Factors of 981135244744992

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 646

Divisors of 981135244744992

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 408 496 527 544 558 593 612 744 816 961 992 1054 1116 1186 1224 1488 1581 1632 1779 1922 2108 2232 2372 2448 2883 2976 3162 3558 3844 4216 4464 4743 4744 4896 5337 5766 6324 7116 7688 8432 8649 8928 9486 9488 10081 10674 11532 12648 14232 15376 16337 16864 17298 18383 18972 18976 20162 21348 23064 25296 28464 30243 30752 32674 34596 36766 37944 40324 42696 46128 49011 50592 55149 56928 60486 65348 69192 73532 75888 80648 85392 90729 92256 98022 110298 120972 130696 138384 147033 147064 151776 161296 165447 170784 181458 196044 220596 241944 261392 276768 294066 294128 312511 322592 330894 351649 362916 392088 441192 483888 522784 569873 588132 588256 625022 661788 703298 725832 784176 882384 937533 967776 1054947 1139746 1176264 1250044 1323576 1406596 1451664 1568352 1709619 1764768 1875066 2109894 2279492 2352528 2500088 2647152 2812599 2813192 2903328 3164841 3419238 3750132 4219788 4558984 4705056 5000176 5128857 5294304 5625198 5626384 5978033 6329682 6838476 7500264 8439576 9117968 9687841 10000352 10257714 10901119 11250396 11252768 11956066 12659364 13676952 15000528 16879152 17934099 18235936 19375682 20515428 21802238 22500792 23912132 25318728 27353904 29063523 30001056 32703357 33758304 35868198 38751364 41030856 43604476 45001584 47824264 50637456 53802297 54707808 58127046 65406714 71736396 77502728 82061712 87190569 87208952 90003168 95648528 98110071 101274912 107604594 116254092 130813428 143472792 155005456 164123424 174381138 174417904 185319023 191297056 196220142 208527857 215209188 232508184 261626856 286945584 310010912 337934689 348762276 348835808 370638046 392440284 417055714 430418376 465016368 523253712 555957069 573891168 625583571 675869378 697524552 741276092 784880568 834111428 860836752 930032736 1013804067 1046507424 1111914138 1251167142 1351738756 1395049104 1482552184 1569761136 1667871207 1668222856 1721673504 1876750713 2027608134 2223828276 2502334284 2703477512 2790098208 2965104368 3041412201 3139522272 3335742414 3336445712 3544973569 3753501426 4055216268 4447656552 5004668568 5406955024 5744889713 5930208736 6082824402 6464363567 6671484828 6672891424 7089947138 7507002852 8110432536 8895313104 10009337136 10634920707 10813910048 11489779426 12165648804 12928727134 13342969656 14179894276 15014005704 16220865072 17234669139 17790626208 19393090701 20018674272 21269841414 22979558852 24331297608 25857454268 26685939312 28359788552 30028011408 31904762121 32441730144 34469338278 38786181402 42539682828 45959117704 48662595216 51704007417 51714908536 53371878624 56719577104 58179272103 60056022816 63809524242 68938676556 77572362804 85079365656 91918235408 97325190432 103408014834 103429817072 109894180639 113439154208 116358544206 127619048484 137877353112 155144725608 170158731312 183836470816 200395270577 206816029668 206859634144 219788361278 232717088412 255238096968 275754706224 310289451216 329682541917 340317462624 400790541154 413632059336 439576722556 465434176824 510476193936 551509412448 601185811731 620578902432 659365083834 801581082308 827264118672 879153445112 930868353648 989047625751 1020952387872 1202371623462 1318730167668 1603162164616 1654528237344 1758306890224 1803557435193 1861736707296 1978095251502 2404743246924 2637460335336 3206324329232 3406719599809 3516613780448 3607114870386 3956190503004 4809486493848 5274920670672 6412648658464 6813439199618 7214229740772 7912381006008 9618972987696 10220158799427 10549841341344 13626878399236 14428459481544 15824762012016 19237945975392 20440317598854 27253756798472 28856918963088 30660476398281 31649524024032 40880635197708 54507513596944 57713837926176 61320952796562 81761270395416 109015027193888 122641905593124 163522540790832 245283811186248 327045081581664 490567622372496 981135244744992
• Sum of all divisors σ(n): 3057755261160600
• Sum of proper divisors (its aliquot sum) s(n): 2076620016415608
• 981135244744992 is an abundant number, because the sum of its proper divisors (2076620016415608) is greater than itself. Its abundance is 1095484771670616

Bases of 981135244744992

• Binary: 11011111000101011001011001101111010101100100100000₂
• Hexadecimal: 0x37C5659BD5920
• Base-36: 9NS7B4K5K0

Squares and roots of 981135244744992

• 981135244744992 squared (981135244744992²) is 962626368480815351951109080064
• 981135244744992 cubed (981135244744992³) is 944466657637407623162756874019968831391039488
• The square root of 981135244744992 is 31323078.4685188949
• The cube root of 981135244744992 is 99367.1786435229

Scales and comparisons

• 981,135,244,744,992 seconds is equal to 31,197,065 years, 48 weeks, 3 days, 8 hours, 43 minutes, 12 seconds.
• To count from 1 to 981,135,244,744,992 would take you about seventy-seven million, nine hundred ninety-two thousand, six hundred sixty-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 981135244744992 cubic inches would be around 8280.6 feet tall.

Recreational maths with 981135244744992

• 981135244744992 backwards is 299447442531189
• 981135244744992 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 981135244744992's digits is 72
• More coming soon!