40712848980477128

Names of 40712848980477128

• Cardinal: 40712848980477128 can be written as Forty quadrillion, seven hundred twelve trillion, eight hundred forty-eight billion, nine hundred eighty million, four hundred seventy-seven thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0712848980477128 × 10¹⁶

Factors of 40712848980477128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 8923

Divisors of 40712848980477128

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 13 14 26 28 52 56 73 91 104 139 146 182 278 292 364 511 556 584 728 949 973 1022 1112 1807 1898 1946 2044 3614 3796 3892 4088 5329 6643 7228 7592 7784 8689 10147 10658 12649 13286 14456 17378 20294 21316 25298 26572 34756 37303 40588 42632 50596 53144 60823 69277 69512 71029 74606 81176 101192 112957 121646 131911 138554 142058 149212 225914 243292 263822 277108 284116 298424 451828 484939 486584 527644 554216 568232 634297 740731 790699 903656 923377 969878 1055288 1207771 1268594 1481462 1581398 1846754 1939756 2415542 2537188 2962924 3162796 3693508 3879512 4440079 4831084 5074376 5185117 5925848 6325592 7387016 8245861 8454397 8880158 9629503 9662168 10370234 15701023 16491722 16908794 17760316 19259006 20740468 31402046 32983444 33817588 35520632 38518012 41480936 46303681 57721027 62804092 65966888 67406521 67635176 75498721 77036024 88167283 92607362 109907161 115442054 125608184 134813042 150997442 176334566 185214724 219814322 230884108 269626084 301994884 324125767 352669132 370429448 439628644 461768216 528491047 539252168 601947853 603989768 617170981 648251534 705338264 879257288 981483373 1056982094 1146174679 1203895706 1234341962 1296503068 1962966746 2113964188 2292349358 2407791412 2468683924 2593006136 3925933492 4213634971 4227928376 4584698716 4815582824 4937367848 5511406633 6436211659 6870383611 7851866984 8023222753 8427269942 9169397432 10494322219 11022813266 12872423318 13740767222 16046445506 16854539884 20988644438 22045626532 25744846636 27481534444 32092891012 33709079768 38579846431 41977288876 44091253064 45053481613 51489693272 54963068888 64185782024 71648286229 73460255533 77159692862 83670751567 83954577752 90106963226 136426188847 143296572458 146920511066 154319385724 167341503134 180213926452 272852377694 286593144916 293841022132 308638771448 334683006268 360427852904 402332684209 501538003603 545704755388 573186289832 585695260969 587682044264 669366012536 766085521987 804665368418 954983321929 1003076007206 1091409510776 1171390521938 1532171043974 1609330736836 1909966643858 2006152014412 2342781043876 2816328789463 3064342087948 3218661473672 3819933287716 4012304028824 4685562087752 5230324894717 5362598653909 5632657578926 6128684175896 7639866575432 9959111785831 10460649789434 10725197307818 11265315157852 19918223571662 20921299578868 21450394615636 22530630315704 36612274263019 39836447143324 41842599157736 42900789231272 55924243105051 69713782500817 73224548526038 79672894286648 111848486210102 139427565001634 146449097052076 223696972420204 278855130003268 292898194104152 391469701735357 447393944840408 557710260006536 727015160365663 782939403470714 1454030320731326 1565878806941428 2908060641462652 3131757613882856 5089106122559641 5816121282925304 10178212245119282 20356424490238564 40712848980477128
• Sum of all divisors σ(n): 95953730592081600
• Sum of proper divisors (its aliquot sum) s(n): 55240881611604472
• 40712848980477128 is an abundant number, because the sum of its proper divisors (55240881611604472) is greater than itself. Its abundance is 14528032631127344

Bases of 40712848980477128

• Binary: 10010000101001000001111011010101010001101000010011001000₂
• Hexadecimal: 0x90A41ED54684C8
• Base-36: B4VI0MCD688

Squares and roots of 40712848980477128

• 40712848980477128 squared (40712848980477128²) is 1657536072107137520816486531128384
• 40712848980477128 cubed (40712848980477128³) is 67483015783391137136105556747066095369072543601152
• The square root of 40712848980477128 is 201774252.5211706193
• The cube root of 40712848980477128 is 344014.8299573771

Scales and comparisons

• 40,712,848,980,477,128 seconds is equal to 1,294,542,664 years, 24 weeks, 2 days, 15 hours, 12 minutes, 8 seconds.
• To count from 1 to 40,712,848,980,477,128 would take you about three billion, eight hundred eighty-three million, six hundred twenty-seven thousand, nine hundred ninety-three 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 40712848980477128 cubic inches would be around 28667.9 feet tall.

Recreational maths with 40712848980477128

• 40712848980477128 backwards is 82177408984821704
• The number of decimal digits it has is: 17
• The sum of 40712848980477128's digits is 80
• More coming soon!