47148644993932032

Names of 47148644993932032

• Cardinal: 47148644993932032 can be written as Forty-seven quadrillion, one hundred forty-eight trillion, six hundred forty-four billion, nine hundred ninety-three million, nine hundred thirty-two thousand and thirty-two.

Scientific notation

• Scientific notation: 4.7148644993932032 × 10¹⁶

Factors of 47148644993932032

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 491

Divisors of 47148644993932032

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 383 384 412 618 766 768 824 1149 1236 1532 1648 2298 2472 3064 3296 4596 4944 6128 6592 9192 9888 10609 12256 13184 18384 19776 21218 24512 26368 31827 36768 39449 39552 42436 49024 63654 73536 78898 79104 84872 98048 118347 127308 146689 147072 157796 169744 236694 254616 293378 294144 315592 339488 440067 473388 509232 586756 631184 678976 880134 946776 1018464 1092727 1173512 1262368 1357952 1760268 1893552 2036928 2185454 2347024 2524736 2715904 3278181 3520536 3787104 4063247 4073856 4370908 4694048 5049472 6556362 7041072 7574208 8126494 8147712 8741816 9388096 10098944 12189741 13112724 14082144 15108967 15148416 16252988 17483632 18776192 24379482 26225448 28164288 30217934 30296832 32505976 34967264 37552384 45326901 48758964 52450896 56181887 56328576 60435868 65011952 69934528 90653802 97517928 104901792 112363774 112657152 120871736 130023904 139869056 168545661 181307604 195035856 209803584 224727548 241743472 260047808 279738112 337091322 362615208 390071712 418514441 419607168 449455096 483486944 520095616 674182644 725230416 780143424 837028882 839214336 898910192 966973888 1040191232 1255543323 1348365288 1450460832 1556223601 1560286848 1674057764 1797820384 1933947776 2511086646 2696730576 2900921664 3112447202 3120573696 3348115528 3595640768 3867895552 4668670803 5022173292 5393461152 5786734361 5801843328 6224894404 6696231056 7191281536 9337341606 10044346584 10786922304 11573468722 11603686656 12449788808 13392462112 14382563072 17360203083 18674683212 20088693168 21573844608 23146937444 24899577616 26784924224 34720406166 37349366424 40177386336 43147689216 46293874888 49799155232 53569848448 69440812332 74698732848 80354772672 92587749776 99598310464 107139696896 138881624664 149397465696 160291030903 160709545344 185175499552 199196620928 277763249328 298794931392 320582061806 321419090688 370350999104 398393241856 480873092709 555526498656 596033639183 597589862784 641164123612 740701998208 961746185418 1111052997312 1192067278366 1195179725568 1282328247224 1481403996416 1788100917549 1923492370836 2222105994624 2384134556732 2564656494448 3576201835098 3846984741672 4444211989248 4768269113464 5129312988896 7152403670196 7693969483344 9536538226928 10258625977792 14304807340392 15387938966688 19073076453856 20517251955584 28609614680784 30775877933376 38146152907712 41034503911168 57219229361568 61391464835849 61551755866752 76292305815424 114438458723136 122782929671698 123103511733504 152584611630848 184174394507547 228876917446272 245565859343396 368348789015094 457753834892544 491131718686792 736697578030188 982263437373584 1473395156060376 1964526874747168 2946790312120752 3929053749494336 5893580624241504 7858107498988672 11787161248483008 15716214997977344 23574322496966016 47148644993932032
• Sum of all divisors σ(n): 127046102860185600
• Sum of proper divisors (its aliquot sum) s(n): 79897457866253568
• 47148644993932032 is an abundant number, because the sum of its proper divisors (79897457866253568) is greater than itself. Its abundance is 32748812872321536

Bases of 47148644993932032

• Binary: 10100111100000010111000101011100100000010001101100000000₂
• Hexadecimal: 0xA781715C811B00
• Base-36: CW8SSHRG4QO

Squares and roots of 47148644993932032

• 47148644993932032 squared (47148644993932032²) is 2222994724763832061830100235649024
• 47148644993932032 cubed (47148644993932032³) is 104811189101273565868809705816473107505769263136768
• The square root of 47148644993932032 is 217137387.3701441403
• The cube root of 47148644993932032 is 361262.6572358913

Scales and comparisons

• 47,148,644,993,932,032 seconds is equal to 1,499,181,070 years, 24 weeks, 3 days, 23 hours, 47 minutes, 12 seconds.
• To count from 1 to 47,148,644,993,932,032 would take you about four billion, four hundred ninety-seven million, five hundred forty-three thousand, two hundred eleven 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 47148644993932032 cubic inches would be around 30105.2 feet tall.

Recreational maths with 47148644993932032

• 47148644993932032 backwards is 23023939944684174
• The number of decimal digits it has is: 17
• The sum of 47148644993932032's digits is 78
• More coming soon!