131830584567003808

Names of 131830584567003808

• Cardinal: 131830584567003808 can be written as One hundred thirty-one quadrillion, eight hundred thirty trillion, five hundred eighty-four billion, five hundred sixty-seven million, three thousand, eight hundred eight.

Scientific notation

• Scientific notation: 1.31830584567003808 × 10¹⁷

Factors of 131830584567003808

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 435

Divisors of 131830584567003808

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 16 32 37 43 74 86 148 172 296 344 353 592 688 706 1184 1369 1376 1412 1591 1849 2738 2824 3182 3698 5476 5648 6364 7396 10952 11296 12728 13061 14792 15179 21904 25456 26122 29584 30358 43808 50653 50912 52244 58867 59168 60716 68413 101306 104488 117734 121432 124609 136826 202612 208976 235468 242864 249218 273652 405224 417952 470936 483257 485728 498436 547304 561623 652697 810448 941872 966514 996872 1094608 1123246 1305394 1620896 1883744 1933028 1993744 2178079 2189216 2246492 2531281 2610788 3866056 3987488 4356158 4492984 4610533 5062562 5221576 5358187 7732112 8712316 8985968 9221066 10125124 10443152 10716374 15464224 17424632 17880509 17971936 18442132 20250248 20780051 20886304 21432748 24149789 34849264 35761018 36884264 40500496 41560102 42865496 43986977 48299578 69698528 71522036 73768528 81000992 83120204 85730992 87973954 93657397 96599156 143044072 147537056 166240408 170589721 171461984 175947908 187314794 193198312 198252919 230402041 286088144 332480816 341179442 351895816 374629588 386396624 396505838 460804082 572176288 664961632 682358884 703791632 749259176 768861887 772793248 793011676 893542193 921608164 1364717768 1407583264 1498518352 1537723774 1586023352 1627518149 1787084386 1843216328 1891440011 2729435536 2997036704 3075447548 3172046704 3255036298 3574168772 3686432656 3782880022 5458871072 6150895096 6311819677 6344093408 6510072596 7148337544 7335358003 7372865312 7565760044 8524875517 12301790192 12623639354 13020145192 14296675088 14670716006 15131520088 17049751034 24603580384 25247278708 26040290384 28593350176 29341432012 30263040176 33061061141 34099502068 50494557416 52080580768 58682864024 60218171513 60526080352 66122122282 68199004136 69983280407 81331920473 100989114832 117365728048 120436343026 132244244564 136398008272 139966560814 162663840946 201978229664 234731456096 240872686052 264488489128 271408246111 272796016544 279933121628 315420394129 325327681892 481745372104 528976978256 542816492222 559866243256 630840788258 650655363784 963490744208 1057953956512 1085632984444 1119732486512 1261681576516 1301310727568 1926981488416 2171265968888 2228072345981 2239464973024 2523363153032 2589381375059 2602621455136 3009281057501 4342531937776 4456144691962 5046726306064 5178762750118 6018562115002 8685063875552 8912289383924 10093452612128 10357525500236 11670554582773 12037124230004 17824578767848 20715051000472 23341109165546 24074248460008 35649157535696 41430102000944 46682218331092 48148496920016 71298315071392 82860204001888 93364436662184 95807110877183 96296993840032 111343399127537 186728873324368 191614221754366 222686798255074 373457746648736 383228443508732 445373596510148 766456887017464 890747193020296 1532913774034928 1781494386040592 3065827548069856 3562988772081184 4119705767718869 8239411535437738 16478823070875476 32957646141750952 65915292283501904 131830584567003808
• Sum of all divisors σ(n): 273874429079067600
• Sum of proper divisors (its aliquot sum) s(n): 142043844512063792
• 131830584567003808 is an abundant number, because the sum of its proper divisors (142043844512063792) is greater than itself. Its abundance is 10213259945059984

Bases of 131830584567003808

• Binary: 111010100010110110011011111011011101001011111101010100000₂
• Hexadecimal: 0x1D45B37DBA5FAA0
• Base-36: 10221IHAD8KG

Squares and roots of 131830584567003808

• 131830584567003808 squared (131830584567003808²) is 17379303027277942599221062286500864
• 131830584567003808 cubed (131830584567003808³) is 2291123677453150100026311914493544367875752883290112
• The square root of 131830584567003808 is 363084817.3182180971
• The cube root of 131830584567003808 is 508946.4146766841

Scales and comparisons

• 131,830,584,567,003,808 seconds is equal to 4,191,804,810 years, 23 weeks, 5 days, 23 hours, 43 minutes, 28 seconds.
• To count from 1 to 131,830,584,567,003,808 would take you about twelve billion, five hundred seventy-five million, four hundred fourteen thousand, four hundred thirty-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 131830584567003808 cubic inches would be around 42412.2 feet tall.

Recreational maths with 131830584567003808

• 131830584567003808 backwards is 808300765485038131
• The number of decimal digits it has is: 18
• The sum of 131830584567003808's digits is 70
• More coming soon!