31131639144213840

Names of 31131639144213840

• Cardinal: 31131639144213840 can be written as Thirty-one quadrillion, one hundred thirty-one trillion, six hundred thirty-nine billion, one hundred forty-four million, two hundred thirteen thousand, eight hundred forty.

Scientific notation

• Scientific notation: 3.113163914421384 × 10¹⁶

Factors of 31131639144213840

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2762659841

Divisors of 31131639144213840

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 47 48 54 60 72 74 80 81 90 94 108 111 120 135 141 144 148 162 180 185 188 216 222 235 240 270 282 296 324 333 360 370 376 405 423 432 444 470 540 555 564 592 648 666 705 720 740 752 810 846 888 940 999 1080 1110 1128 1269 1296 1332 1410 1480 1620 1665 1692 1739 1776 1880 1998 2115 2160 2220 2256 2538 2664 2820 2960 2997 3240 3330 3384 3478 3760 3807 3996 4230 4440 4995 5076 5217 5328 5640 5994 6345 6480 6660 6768 6956 7614 7992 8460 8695 8880 9990 10152 10434 11280 11988 12690 13320 13912 14985 15228 15651 15984 16920 17390 19035 19980 20304 20868 23976 25380 26085 26640 27824 29970 30456 31302 33840 34780 38070 39960 41736 46953 47952 50760 52170 59940 60912 62604 69560 76140 78255 79920 83472 93906 101520 104340 119880 125208 139120 140859 152280 156510 187812 208680 234765 239760 250416 281718 304560 313020 375624 417360 469530 563436 626040 704295 751248 939060 1126872 1252080 1408590 1878120 2253744 2817180 3756240 5634360 11268720 2762659747 5525319494 8287979241 11050638988 13813298735 16575958482 22101277976 24863937723 27626597470 33151916964 41439896205 44202555952 49727875446 55253194940 66303833928 74591813169 82879792410 99455750892 102218410639 110506389880 124319688615 129845008109 132607667856 149183626338 165759584820 198911501784 204436821278 221012779760 223775439507 248639377230 259690016218 298367252676 306655231917 331519169640 372959065845 389535024327 397823003568 408873642556 447550879014 497278754460 511092053195 519380032436 596734505352 613310463834 649225040545 663038339280 745918131690 779070048654 817747285112 895101758028 919965695751 994557508920 1022184106390 1038760064872 1118877197535 1168605072981 1193469010704 1226620927668 1298450081090 1491836263380 1533276159585 1558140097308 1635494570224 1790203516056 1839931391502 1947675121635 1989115017840 2044368212780 2077520129744 2237754395070 2337210145962 2453241855336 2596900162180 2759897087253 2983672526760 3066552319170 3116280194616 3505815218943 3580407032112 3679862783004 3895350243270 4088736425560 4475508790140 4599828478755 4674420291924 4804265300033 4906483710672 5193800324360 5519794174506 5843025364905 5967345053520 6133104638340 6232560389232 7011630437886 7359725566008 7790700486540 8177472851120 8279691261759 8951017580280 9199656957510 9348840583848 9608530600066 10387600648720 10517445656829 11039588349012 11686050729810 12266209276680 13799485436265 14023260875772 14412795900099 14719451132016 15581400973080 16559382523518 17529076094715 17902035160560 18399313915020 18697681167696 19217061200132 21034891313658 22079176698024 23372101459620 24021326500165 24532418553360 27598970872530 28046521751544 28825591800198 31162801946160 33118765047036 35058152189430 36798627830040 38434122400264 41398456308795 42069782627316 43238387700297 44158353396048 46744202919240 48042653000330 52587228284145 55197941745060 56093043503088 57651183600396 66237530094072 70116304378860 72063979500495 73597255660080 76868244800528 82796912617590 84139565254632 86476775400594 93488405838480 96085306000660 105174456568290 110395883490120 115302367200792 129715163100891 132475060188144 140232608757720 144127959000990 165593825235180 168279130509264 172953550801188 192170612001320 210348913136580 216191938501485 220791766980240 230604734401584 259430326201782 280465217515440 288255918001980 331187650470360 345907101602376 384341224002640 389145489302673 420697826273160 432383877002970 518860652403564 576511836003960 648575815504455 662375300940720 691814203204752 778290978605346 841395652546320 864767754005940 1037721304807128 1153023672007920 1297151631008910 1556581957210692 1729535508011880 1945727446513365 2075442609614256 2594303262017820 3113163914421384 3459071016023760 3891454893026730 5188606524035640 6226327828842768 7782909786053460 10377213048071280 15565819572106920 31131639144213840
• Sum of all divisors σ(n): 113409790606202112
• Sum of proper divisors (its aliquot sum) s(n): 82278151461988272
• 31131639144213840 is an abundant number, because the sum of its proper divisors (82278151461988272) is greater than itself. Its abundance is 51146512317774432

Bases of 31131639144213840

• Binary: 1101110100110100000111110010100011101110110110101010000₂
• Hexadecimal: 0x6E9A0F94776D50
• Base-36: 8IJ8TL3D100

Squares and roots of 31131639144213840

• 31131639144213840 squared (31131639144213840²) is 969178955805547432165151647545600
• 31131639144213840 cubed (31131639144213840³) is 30172129518304275719450777966320888513277551104000
• The square root of 31131639144213840 is 176441602.6457871415
• The cube root of 31131639144213840 is 314582.0917965349

Scales and comparisons

• 31,131,639,144,213,840 seconds is equal to 989,889,828 years, 15 weeks, 5 days, 11 hours, 24 minutes.
• To count from 1 to 31,131,639,144,213,840 would take you about two billion, nine hundred sixty-nine million, six hundred sixty-nine thousand, four hundred eighty-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 31131639144213840 cubic inches would be around 26215.2 feet tall.

Recreational maths with 31131639144213840

• 31131639144213840 backwards is 04831244193613113
• 31131639144213840 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 31131639144213840's digits is 54
• More coming soon!