106906516485984

Names of 106906516485984

• Cardinal: 106906516485984 can be written as One hundred six trillion, nine hundred six billion, five hundred sixteen million, four hundred eighty-five thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.06906516485984 × 10¹⁴

Factors of 106906516485984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3211

Divisors of 106906516485984

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 243 288 296 324 333 432 444 486 592 648 666 864 888 972 999 1184 1296 1332 1369 1776 1944 1998 2592 2664 2738 2997 3169 3552 3888 3996 4107 5328 5476 5994 6338 7776 7992 8214 8991 9507 10656 10952 11988 12321 12676 15984 16428 17982 19014 21904 23976 24642 25352 28521 31968 32856 35964 36963 38028 43808 47952 49284 50704 57042 65712 71928 73926 76056 85563 95904 98568 101408 110889 114084 117253 131424 143856 147852 152112 171126 197136 221778 228168 234506 256689 287712 295704 304224 332667 342252 351759 394272 443556 456336 469012 513378 591408 665334 684504 703518 770067 887112 912672 938024 1026756 1055277 1182816 1330668 1369008 1407036 1540134 1774224 1876048 2053512 2110554 2661336 2738016 2814072 3080268 3165831 3548448 3752096 4107024 4221108 4338361 5322672 5628144 6160536 6331662 8214048 8442216 8676722 9497493 10042561 10645344 11256288 12321072 12663324 13015083 16884432 17353444 18994986 20085122 24642144 25326648 26030166 28492479 30127683 33768864 34706888 37989972 39045249 40170244 50653296 52060332 56984958 60255366 69413776 75979944 78090498 80340488 90383049 101306592 104120664 113969916 117135747 120510732 138827552 151959888 156180996 160680976 180766098 208241328 227939832 234271494 241021464 271149147 303919776 312361992 321361952 351407241 361532196 371574757 416482656 455879664 468542988 482042928 542298294 624723984 702814482 723064392 743149514 813447441 911759328 937085976 964085856 1054221723 1084596588 1114724271 1249447968 1405628964 1446128784 1486299028 1626894882 1874171952 2108443446 2169193176 2229448542 2440342323 2811257928 2892257568 2972598056 3253789764 3344172813 3748343904 4216886892 4338386352 4458897084 4880684646 5622515856 5945196112 6507579528 6688345626 8433773784 8676772704 8917794168 9761369292 10032518439 11245031712 11890392224 13015159056 13376691252 13748266009 16867547568 17835588336 19522738584 20065036878 26030318112 26753382504 27496532018 30097555317 33735095136 35671176672 39045477168 40130073756 41244798027 53506765008 54993064036 60195110634 78090954336 80260147512 82489596054 90292665951 107013530016 109986128072 120390221268 123734394081 160520295024 164979192108 180585331902 219972256144 240780442536 247468788162 321040590048 329958384216 361170663804 371203182243 439944512288 481560885072 494937576324 659916768432 722341327608 742406364486 963121770144 989875152648 1113609546729 1319833536864 1444682655216 1484812728972 1979750305296 2227219093458 2889365310432 2969625457944 3340828640187 3959500610592 4454438186916 5939250915888 6681657280374 8908876373832 11878501831776 13363314560748 17817752747664 26726629121496 35635505495328 53453258242992 106906516485984
• Sum of all divisors σ(n): 324128765531844
• Sum of proper divisors (its aliquot sum) s(n): 217222249045860
• 106906516485984 is an abundant number, because the sum of its proper divisors (217222249045860) is greater than itself. Its abundance is 110315732559876

Bases of 106906516485984

• Binary: 11000010011101100011100111100000111011101100000₂
• Hexadecimal: 0x613B1CF07760
• Base-36: 11W86BO600

Squares and roots of 106906516485984

• 106906516485984 squared (106906516485984²) is 11429003267167968779668448256
• 106906516485984 cubed (106906516485984³) is 1221834926199857452822483577593627253243904
• The square root of 106906516485984 is 10339560.7491800155
• The cube root of 106906516485984 is 47460.7641254607

Scales and comparisons

• 106,906,516,485,984 seconds is equal to 3,399,296 years, 28 weeks, 19 hours, 26 minutes, 24 seconds.
• To count from 1 to 106,906,516,485,984 would take you about eight million, four hundred ninety-eight thousand, two hundred forty-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 106906516485984 cubic inches would be around 3955.1 feet tall.

Recreational maths with 106906516485984

• 106906516485984 backwards is 489584615609601
• 106906516485984 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 106906516485984's digits is 72
• More coming soon!