90243690083888

Names of 90243690083888

• Cardinal: 90243690083888 can be written as Ninety trillion, two hundred forty-three billion, six hundred ninety million, eighty-three thousand, eight hundred eighty-eight.

Scientific notation

• Scientific notation: 9.0243690083888 × 10¹³

Factors of 90243690083888

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 506

Divisors of 90243690083888

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 8 11 16 19 22 38 44 73 76 88 121 146 152 176 209 242 292 304 361 401 418 484 584 722 802 803 836 968 1168 1331 1387 1444 1604 1606 1672 1936 2299 2662 2774 2888 3208 3212 3344 3971 4411 4598 5324 5548 5776 6416 6424 7619 7942 8822 8833 9196 10648 11096 12848 15238 15257 15884 17644 17666 18392 21296 22192 25289 26353 29273 30476 30514 31768 35288 35332 36784 43681 48521 50578 52706 58546 60952 61028 63536 70576 70664 83809 87362 97042 97163 101156 105412 117092 121904 122056 141328 144761 160801 167618 167827 174724 194084 194326 202312 210824 234184 244112 289522 289883 321602 322003 335236 335654 349448 388168 388652 404624 421648 468368 480491 533731 556187 579044 579766 643204 644006 670472 671308 698896 776336 777304 921899 960982 1067462 1112374 1158088 1159532 1286408 1288012 1340944 1342616 1554608 1592371 1768811 1843798 1846097 1921964 2134924 2224748 2316176 2319064 2572816 2576024 2685232 3055219 3184742 3188713 3537622 3542033 3687596 3692194 3843928 4269848 4449496 4638128 5152048 6110438 6118057 6369484 6377426 7075244 7084066 7375192 7384388 7687856 8539696 8898992 10140889 10567553 11738473 12220876 12236114 12738968 12754852 14150488 14168132 14750384 14768776 17516081 19456921 20281778 21135106 23476946 24441752 24472228 25477936 25509704 28300976 28336264 29537552 33607409 35032162 35075843 38913842 38962363 40563556 42270212 46953892 48883504 48944456 51019408 56672528 58049161 67214818 67298627 70064324 70151686 77827684 77924726 81127112 84540424 93907784 97888912 116098322 116243083 129123203 134429636 134597254 140128648 140303372 155655368 155849452 162254224 169080848 187815568 192676891 214026131 223030987 232196644 232486166 258246406 268859272 269194508 280257296 280606744 311310736 311698904 369681499 385353782 428052262 446061974 464393288 464972332 516492812 537718544 538389016 561213488 623397808 638540771 739362998 740284897 770707564 856104524 892123948 928786576 929944664 1032985624 1076778032 1277081542 1278673913 1420355233 1478725996 1480569794 1541415128 1712209048 1784247896 1859889328 2065971248 2453340857 2554163084 2557347826 2840710466 2957451992 2961139588 3082830256 3424418096 3568495792 4066496489 4237588753 4906681714 5108326168 5114695652 5681420932 5914903984 5922279176 7023948481 8132992978 8475177506 9813363428 10216652336 10229391304 11362841864 11844558352 14047896962 14065413043 15623907563 16265985956 16950355012 19626726856 20458782608 22725683728 26986749427 28095793924 28130826086 31247815126 32531971912 33900710024 39253453712 46613476283 53973498854 56191587848 56261652172 62495630252 65063943824 67801420048 77263433291 93226952566 107946997708 112383175696 112523304344 124991260504 154526866582 186453905132 215893995416 225046608688 249982521008 296854243697 309053733164 372907810264 431787990832 512748239113 593708487394 618107466328 745815620528 1025496478226 1187416974788 1236214932656 2050992956452 2374833949576 4101985912904 4749667899152 5640230630243 8203971825808 11280461260486 22560922520972 45121845041944 90243690083888
• Sum of all divisors σ(n): 206268345824688
• Sum of proper divisors (its aliquot sum) s(n): 116024655740800
• 90243690083888 is an abundant number, because the sum of its proper divisors (116024655740800) is greater than itself. Its abundance is 25780965656912

Bases of 90243690083888

• Binary: 10100100001001101111111000101110011011000110000₂
• Hexadecimal: 0x52137F173630
• Base-36: VZLDN1WKW

Squares and roots of 90243690083888

• 90243690083888 squared (90243690083888²) is 8143923599956825340477196544
• 90243690083888 cubed (90243690083888³) is 734937717421365222363346741147758423683072
• The square root of 90243690083888 is 9499667.8933470091
• The cube root of 90243690083888 is 44854.4581959767

Scales and comparisons

• 90,243,690,083,888 seconds is equal to 2,869,470 years, 10 weeks, 3 days, 17 hours, 58 minutes, 8 seconds.
• To count from 1 to 90,243,690,083,888 would take you about seven million, one hundred seventy-three thousand, six hundred seventy-five 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 90243690083888 cubic inches would be around 3737.9 feet tall.

Recreational maths with 90243690083888

• 90243690083888 backwards is 88838009634209
• The number of decimal digits it has is: 14
• The sum of 90243690083888's digits is 68
• More coming soon!