137285341200966

Names of 137285341200966

• Cardinal: 137285341200966 can be written as One hundred thirty-seven trillion, two hundred eighty-five billion, three hundred forty-one million, two hundred thousand, nine hundred sixty-six.

Scientific notation

• Scientific notation: 1.37285341200966 × 10¹⁴

Factors of 137285341200966

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 205

Divisors of 137285341200966

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 6 7 14 21 42 53 67 73 106 134 146 159 201 219 318 371 402 438 469 511 742 938 1022 1113 1407 1533 2226 2809 2814 3066 3551 3869 4489 4891 5618 7102 7738 8427 8978 9782 10653 11607 13467 14673 16854 19663 21306 23214 24857 26934 27083 29346 31423 34237 39326 49714 54166 58989 62846 68474 74571 81249 94269 102711 117978 148877 149142 162498 188203 188538 205057 205422 237917 259223 297754 300763 327697 376406 410114 446631 475834 518446 564609 601526 615171 655394 713751 777669 893262 902289 983091 1042139 1129218 1230342 1317421 1427502 1435399 1555338 1665419 1804578 1814561 1966182 2084278 2105341 2293879 2634842 2870798 3126417 3330838 3629122 3952263 4210682 4306197 4587758 4996257 5443683 6252834 6316023 6881637 7904526 8612394 9974759 9992514 10868021 10887366 12609601 12632046 13738819 13763274 15940439 17367941 19949518 21736042 21955699 25219202 27477638 29924277 31880878 32604063 34735882 37828803 41216457 43911398 47821317 52103823 59848554 65208126 65867097 69823313 75657606 76076147 82432914 88267207 95642634 96171733 104207646 111583073 121575587 131734194 139646626 152152294 153689893 176534414 192343466 209469939 223166146 228228441 243151174 264801621 288515199 307379786 334749219 364726761 418939878 456456882 461069679 529603242 577030398 668308853 669498438 728157407 729453522 844843267 920500873 922139358 1163652047 1336617706 1456314814 1689686534 1841001746 2004926559 2184472221 2327304094 2534529801 2761502619 3490956141 4009853118 4368944442 4678161971 5069059602 5097101849 5523005238 5913902869 6443506111 6981912282 8145564329 9356323942 10194203698 11827805738 12887012222 14034485913 15291305547 16291128658 17741708607 19330518333 24436692987 28068971826 30582611094 35483417214 38661036666 44776693151 48786546269 48873385974 61673558491 89553386302 97573092538 123347116982 134330079453 146359638807 185020675473 268660158906 292719277614 313436852057 341505823883 370041350946 431714909437 626873704114 683011647766 863429818874 940310556171 1024517471649 1295144728311 1880621112342 2049034943298 2590289456622 3268698600023 6537397200046 9806095800069 19612191600138 22880890200161 45761780400322 68642670600483 137285341200966
• Sum of all divisors σ(n): 329123040307200
• Sum of proper divisors (its aliquot sum) s(n): 191837699106234
• 137285341200966 is an abundant number, because the sum of its proper divisors (191837699106234) is greater than itself. Its abundance is 54552357905268

Bases of 137285341200966

• Binary: 11111001101110000111011111111101100001001000110₂
• Hexadecimal: 0x7CDC3BFEC246
• Base-36: 1CNW0JJQYU

Squares and roots of 137285341200966

• 137285341200966 squared (137285341200966²) is 18847264908665652719199333156
• 137285341200966 cubed (137285341200966³) is 2587453193691157428177759263660679383028696
• The square root of 137285341200966 is 11716882.7424774549
• The cube root of 137285341200966 is 51587.1326308749

Scales and comparisons

• 137,285,341,200,966 seconds is equal to 4,365,249 years, 10 weeks, 2 days, 8 hours, 16 minutes, 6 seconds.
• To count from 1 to 137,285,341,200,966 would take you about ten million, nine hundred thirteen thousand, one hundred twenty-two 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 137285341200966 cubic inches would be around 4298.9 feet tall.

Recreational maths with 137285341200966

• 137285341200966 backwards is 669002143582731
• The number of decimal digits it has is: 15
• The sum of 137285341200966's digits is 57
• More coming soon!