106931392688064

Names of 106931392688064

• Cardinal: 106931392688064 can be written as One hundred six trillion, nine hundred thirty-one billion, three hundred ninety-two million, six hundred eighty-eight thousand and sixty-four.

Scientific notation

• Scientific notation: 1.06931392688064 × 10¹⁴

Factors of 106931392688064

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3163

Divisors of 106931392688064

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 151 168 183 192 224 244 302 336 366 427 448 453 488 604 672 732 854 906 976 1057 1208 1281 1344 1464 1708 1812 1952 2114 2416 2562 2928 2939 3171 3416 3624 3904 4228 4832 5124 5856 5878 6342 6832 7248 8456 8817 9211 9664 10248 11712 11756 12684 13664 14496 16912 17634 18422 20496 20573 23512 25368 27328 27633 28992 33824 35268 36844 40992 41146 47024 50736 55266 61719 64477 67648 70536 73688 81984 82292 94048 101472 110532 123438 128954 141072 147376 164584 179279 188096 193431 202944 221064 246876 257908 282144 294752 329168 358558 386862 442128 443789 493752 515816 537837 564288 589504 658336 717116 773724 884256 887578 987504 1031632 1075674 1254953 1316672 1331367 1434232 1547448 1768512 1775156 1975008 2063264 2151348 2509906 2662734 2868464 3094896 3106523 3550312 3764859 3950016 4126528 4302696 5019812 5325468 5736928 6189792 6213046 7100624 7529718 8605392 8637721 9319569 10039624 10650936 11473856 12379584 12426092 14201248 15059436 17210784 17275442 18639138 20079248 21301872 24852184 25913163 27071129 28402496 30118872 34421568 34550884 37278276 40158496 42603744 49704368 51826326 54142258 60237744 60464047 69101768 74556552 80316992 81213387 85207488 99408736 103652652 108284516 120475488 120928094 138203536 149113104 162426774 181392141 189497903 198817472 207305304 216569032 240950976 241856188 276407072 298226208 324853548 362784282 378995806 414610608 433138064 483712376 526900981 552814144 568493709 596452416 649707096 725568564 757991612 829221216 866276128 967424752 1053801962 1136987418 1299414192 1304295871 1451137128 1515983224 1580702943 1658442432 1732552256 1934849504 2107603924 2273974836 2598828384 2608591742 2902274256 3031966448 3161405886 3688306867 3869699008 3912887613 4215207848 4547949672 5197656768 5217183484 5804548512 6063932896 6322811772 7376613734 7825775226 8430415696 9095899344 9130071097 10434366968 11064920601 11609097024 12127865792 12645623544 14753227468 15651550452 16860831392 18191798688 18260142194 20868733936 22129841202 25291247088 27390213291 29506454936 31303100904 33721662784 36383597376 36520284388 41737467872 44259682404 50582494176 54780426582 59012909872 62606201808 73040568776 79562048131 83474935744 88519364808 101164988352 109560853164 118025819744 125212403616 146081137552 159124096262 177038729616 219121706328 236051639488 238686144393 250424807232 292162275104 318248192524 354077459232 438243412656 477372288786 556934336917 584324550208 636496385048 708154918464 876486825312 954744577572 1113868673834 1272992770096 1670803010751 1752973650624 1909489155144 2227737347668 2545985540192 3341606021502 3818978310288 4455474695336 5091971080384 6683212043004 7637956620576 8910949390672 13366424086008 15275913241152 17821898781344 26732848172016 35643797562688 53465696344032 106931392688064
• Sum of all divisors σ(n): 330929850768896
• Sum of proper divisors (its aliquot sum) s(n): 223998458080832
• 106931392688064 is an abundant number, because the sum of its proper divisors (223998458080832) is greater than itself. Its abundance is 117067065392768

Bases of 106931392688064

• Binary: 11000010100000011100111101011010010111111000000₂
• Hexadecimal: 0x6140E7AD2FC0
• Base-36: 11WJLQBIDC

Squares and roots of 106931392688064

• 106931392688064 squared (106931392688064²) is 11434322742208947083608068096
• 106931392688064 cubed (106931392688064³) is 1222688055269205709799808070071771398406144
• The square root of 106931392688064 is 10340763.6414369321
• The cube root of 106931392688064 is 47464.4450734977

Scales and comparisons

• 106,931,392,688,064 seconds is equal to 3,400,087 years, 27 weeks, 2 days, 19 hours, 34 minutes, 24 seconds.
• To count from 1 to 106,931,392,688,064 would take you about eight million, five hundred thousand, two hundred eighteen 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 106931392688064 cubic inches would be around 3955.4 feet tall.

Recreational maths with 106931392688064

• 106931392688064 backwards is 460886293139601
• The number of decimal digits it has is: 15
• The sum of 106931392688064's digits is 66
• More coming soon!