90243793920

Names of 90243793920

• Cardinal: 90243793920 can be written as Ninety billion, two hundred forty-three million, seven hundred ninety-three thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 9.024379392 × 10¹⁰

Factors of 90243793920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2464

Divisors of 90243793920

• Number of divisors d(n): 440
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 160 168 192 196 210 224 240 245 256 280 294 320 336 343 384 392 420 448 480 490 512 560 588 640 672 686 735 768 784 840 896 960 980 1024 1029 1120 1176 1280 1344 1372 1470 1536 1568 1680 1715 1792 1920 1960 2058 2240 2352 2401 2447 2560 2688 2744 2940 3072 3136 3360 3430 3584 3840 3920 4116 4480 4704 4802 4894 5120 5145 5376 5488 5880 6272 6720 6860 7168 7203 7341 7680 7840 8232 8960 9408 9604 9788 10290 10752 10976 11760 12005 12235 12544 13440 13720 14406 14682 15360 15680 16464 17129 17920 18816 19208 19576 20580 21504 21952 23520 24010 24470 25088 26880 27440 28812 29364 31360 32928 34258 35840 36015 36705 37632 38416 39152 41160 43904 47040 48020 48940 50176 51387 53760 54880 57624 58728 62720 65856 68516 72030 73410 75264 76832 78304 82320 85645 87808 94080 96040 97880 102774 107520 109760 115248 117456 119903 125440 131712 137032 144060 146820 150528 153664 156608 164640 171290 175616 188160 192080 195760 205548 219520 230496 234912 239806 250880 256935 263424 274064 288120 293640 307328 313216 329280 342580 351232 359709 376320 384160 391520 411096 439040 460992 469824 479612 513870 526848 548128 576240 587280 599515 614656 626432 658560 685160 719418 752640 768320 783040 822192 839321 878080 921984 939648 959224 1027740 1053696 1096256 1152480 1174560 1199030 1229312 1252864 1317120 1370320 1438836 1536640 1566080 1644384 1678642 1756160 1798545 1843968 1879296 1918448 2055480 2192512 2304960 2349120 2398060 2458624 2505728 2517963 2634240 2740640 2877672 3073280 3132160 3288768 3357284 3597090 3687936 3758592 3836896 4110960 4196605 4385024 4609920 4698240 4796120 5035926 5268480 5481280 5755344 5875247 6146560 6264320 6577536 6714568 7194180 7375872 7517184 7673792 8221920 8393210 8770048 9219840 9396480 9592240 10071852 10962560 11510688 11750494 12293120 12528640 12589815 13155072 13429136 14388360 15347584 16443840 16786420 17540096 17625741 18439680 18792960 19184480 20143704 21925120 23021376 23500988 25179630 26310144 26858272 28776720 29376235 30695168 32887680 33572840 35251482 36879360 37585920 38368960 40287408 43850240 46042752 47001976 50359260 52620288 53716544 57553440 58752470 61390336 65775360 67145680 70502964 76737920 80574816 87700480 88128705 92085504 94003952 100718520 107433088 115106880 117504940 122780672 131550720 134291360 141005928 153475840 161149632 176257410 184171008 188007904 201437040 214866176 230213760 235009880 263101440 268582720 282011856 306951680 322299264 352514820 368342016 376015808 402874080 429732352 460427520 470019760 537165440 564023712 613903360 644598528 705029640 752031616 805748160 859464704 920855040 940039520 1074330880 1128047424 1289197056 1410059280 1504063232 1611496320 1841710080 1880079040 2148661760 2256094848 2578394112 2820118560 3008126464 3222992640 3760158080 4297323520 4512189696 5640237120 6016252928 6445985280 7520316160 9024379392 11280474240 12891970560 15040632320 18048758784 22560948480 30081264640 45121896960 90243793920
• Sum of all divisors σ(n): 336863228544
• Sum of proper divisors (its aliquot sum) s(n): 246619434624
• 90243793920 is an abundant number, because the sum of its proper divisors (246619434624) is greater than itself. Its abundance is 156375640704

Bases of 90243793920

• Binary: 1010100000010111100110000010000000000₂
• Hexadecimal: 0x1502F30400
• Base-36: 15GGTP1C

Squares and roots of 90243793920

• 90243793920 squared (90243793920²) is 8143942341075428966400
• 90243793920 cubed (90243793920³) is 734940254324373362819400204288000
• The square root of 90243793920 is 300406.0484078175
• The cube root of 90243793920 is 4485.4475399435

Scales and comparisons

• 90,243,793,920 seconds is equal to 2,869 years, 24 weeks, 4 days, 8 hours, 32 minutes.
• To count from 1 to 90,243,793,920 would take you about five thousand, seven hundred thirty-eight 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 90243793920 cubic inches would be around 373.8 feet tall.

Recreational maths with 90243793920

• 90243793920 backwards is 02939734209
• 90243793920 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 90243793920's digits is 48
• More coming soon!