31426220174017968

Names of 31426220174017968

• Cardinal: 31426220174017968 can be written as Thirty-one quadrillion, four hundred twenty-six trillion, two hundred twenty billion, one hundred seventy-four million, seventeen thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.1426220174017968 × 10¹⁶

Factors of 31426220174017968

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 299941

Divisors of 31426220174017968

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 41 48 52 54 72 78 81 82 104 108 117 123 144 156 162 164 208 216 234 243 246 312 324 328 351 369 432 468 486 492 533 624 648 656 702 738 936 972 984 1053 1066 1107 1296 1404 1476 1599 1872 1944 1968 2106 2132 2214 2808 2952 3159 3198 3321 3888 4212 4264 4428 4797 5616 5904 6318 6396 6642 8424 8528 8856 9594 9963 12636 12792 13284 14391 16848 17712 19188 19926 25272 25584 26568 28782 38376 39852 43173 50544 53136 57564 64399 76752 79704 86346 115128 128798 129519 159408 172692 193197 230256 235483 257596 259038 345384 386394 470966 515192 518076 579591 690768 706449 772788 837187 941932 1030384 1036152 1159182 1412898 1545576 1674374 1738773 1883864 2072304 2119347 2318364 2511561 2640359 2825796 3061279 3091152 3348748 3477546 3767728 4238694 4636728 5023122 5216319 5280718 5651592 6122558 6358041 6697496 6955092 7534683 7921077 8477388 9183837 9273456 9654803 10046244 10432638 10561436 11303184 12245116 12716082 13394992 13910184 15069366 15648957 15842154 16954776 18367674 19074123 19309606 20092488 20865276 21122872 22604049 23763231 24490232 25432164 27551511 27820368 28964409 30138732 31297914 31684308 33909552 34324667 36735348 38148246 38619212 40184976 41730552 42245744 45208098 47526462 48980464 50864328 55103022 57222369 57928818 60277464 62595828 63368616 67812147 68649334 71289693 73470696 76296492 77238424 82654533 83461104 86893227 90416196 95052924 101728656 102974001 110206044 114444738 115857636 120554928 125191656 125512439 126737232 135624294 137298668 142579386 146941392 152592984 154476848 165309066 173786454 180832392 190105848 203436441 205948002 213869079 220412088 228889476 231715272 247963599 250383312 251024878 260679681 271248588 274597336 285158772 305185968 308922003 330618132 347572908 361664784 376537317 380211696 406872882 411896004 427738158 440824176 457778952 463430544 495927198 502049756 521359362 542497176 549194672 570317544 617844006 641607237 661236264 695145816 743890797 753074634 782039043 813745764 823792008 855476316 915557904 926766009 991854396 1004099512 1042718724 1084994352 1129611951 1140635088 1235688012 1283214474 1322472528 1390291632 1487781594 1506149268 1564078086 1627491528 1647584016 1710952632 1853532018 1983708792 2008199024 2085437448 2259223902 2346117129 2471376024 2566428948 2780298027 2975563188 3012298536 3128156172 3254983056 3388835853 3421905264 3707064036 3967417584 4170874896 4518447804 4692234258 4942752048 5132857896 5560596054 5951126376 6024597072 6256312344 6777671706 7414128072 8340894081 9036895608 9384468516 10166507559 10265715792 11121192108 11902252752 12512624688 13555343412 14828256144 15164869717 16681788162 18073791216 18768937032 20333015118 22242384216 27110686824 30329739434 30499522677 33363576324 37537874064 40666030236 44484768432 45494609151 54221373648 60659478868 60999045354 66727152648 81332060472 90989218302 121318957736 121998090708 133454305296 136483827453 162664120944 181978436604 197143306321 242637915472 243996181416 272967654906 363956873208 394286612642 409451482359 487992362832 545935309812 591429918963 621759658397 727913746416 788573225284 818902964718 1091870619624 1182859837926 1228354447077 1243519316794 1577146450568 1637805929436 1774289756889 1865278975191 2183741239248 2365719675852 2456708894154 2487038633588 3154292901136 3275611858872 3548579513778 3685063341231 3730557950382 4731439351704 4913417788308 4974077267176 5322869270667 5595836925573 6551223717744 7097159027556 7370126682462 7461115900764 8082875559161 9462878703408 9826835576616 9948154534352 10645738541334 11191673851146 14194318055112 14740253364924 14922231801528 15968607812001 16165751118322 16787510776719 19653671153232 21291477082668 22383347702292 24248626677483 28388636110224 29480506729848 29844463603056 31937215624002 32331502236644 33575021553438 42582954165336 44766695404584 47905823436003 48497253354966 50362532330157 58961013459696 63874431248004 64663004473288 67150043106876 72745880032449 85165908330672 89533390809168 95811646872006 96994506709932 100725064660314 127748862496008 129326008946576 134300086213752 145491760064898 151087596990471 191623293744012 193989013419864 201450129320628 218237640097347 255497724992016 268600172427504 290983520129796 302175193980942 383246587488024 387978026839728 402900258641256 436475280194694 581967040259592 604350387961884 654712920292041 766493174976048 805800517282512 872950560389388 1163934080519184 1208700775923768 1309425840584082 1745901120778776 1964138760876123 2417401551847536 2618851681168164 3491802241557552 3928277521752246 5237703362336328 7856555043504492 10475406724672656 15713110087008984 31426220174017968
• Sum of all divisors σ(n): 100620778974643200
• Sum of proper divisors (its aliquot sum) s(n): 69194558800625232
• 31426220174017968 is an abundant number, because the sum of its proper divisors (69194558800625232) is greater than itself. Its abundance is 37768338626607264

Bases of 31426220174017968

• Binary: 1101111101001011111101100010010000110110000010110110000₂
• Hexadecimal: 0x6FA5FB121B05B0
• Base-36: 8LFNY8QNF00

Squares and roots of 31426220174017968

• 31426220174017968 squared (31426220174017968²) is 987607314425853922924173186849024
• 31426220174017968 cubed (31426220174017968³) is 31036764908617477108002296220111771064831479263232
• The square root of 31426220174017968 is 177274420.5293532133
• The cube root of 31426220174017968 is 315571.2157420735

Scales and comparisons

• 31,426,220,174,017,968 seconds is equal to 999,256,593 years, 44 weeks, 2 days, 5 hours, 52 minutes, 48 seconds.
• To count from 1 to 31,426,220,174,017,968 would take you about two billion, nine hundred ninety-seven million, seven hundred sixty-nine thousand, seven hundred eighty-one 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 31426220174017968 cubic inches would be around 26297.6 feet tall.

Recreational maths with 31426220174017968

• 31426220174017968 backwards is 86971047102262413
• The number of decimal digits it has is: 17
• The sum of 31426220174017968's digits is 63
• More coming soon!