131513981988129807

Names of 131513981988129807

• Cardinal: 131513981988129807 can be written as One hundred thirty-one quadrillion, five hundred thirteen trillion, nine hundred eighty-one billion, nine hundred eighty-eight million, one hundred twenty-nine thousand, eight hundred seven.

Scientific notation

• Scientific notation: 1.31513981988129807 × 10¹⁷

Factors of 131513981988129807

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 203450

Divisors of 131513981988129807

• Number of divisors d(n): 256
• Complete list of divisors:
  1 3 11 23 33 69 71 79 89 213 237 253 267 759 781 869 979 1633 1723 1817 2047 2343 2607 2937 4899 5169 5451 5609 6141 6319 7031 16827 17963 18953 18957 19987 21093 22517 39629 53889 56859 59961 61699 67551 69509 77341 118887 122333 129007 136117 145337 153347 161713 185097 201451 208527 232023 366999 387021 408351 435919 436011 460041 485139 499201 604353 1307757 1345663 1419077 1497287 1497603 1598707 1686817 1778843 2215961 2813659 3130691 3526981 4036989 4257231 4491861 4633373 4796121 5060451 5336529 5491211 6647883 8440977 9392073 9664307 10580943 10887637 11481623 12114413 13900119 14303021 15914629 16473633 17929139 28992921 30950249 32662911 34437601 34444869 36343239 38796791 42909063 47743887 50967103 53787417 92850747 103312803 106307377 116390373 119764007 126297853 133258543 152901309 157333231 175060919 197220529 222279061 250415651 278631499 318922131 328969483 347100073 359292021 366036467 378893559 399775629 412370197 471999693 525182757 591661587 666837183 751246953 835894497 860123323 986908449 1041300219 1098109401 1129938659 1237110591 1272968869 1416401981 2445069671 2580369969 2754572161 3064946489 3389815977 3618664313 3818100803 3818906607 4026401137 4249205943 4536072167 7335209013 7983301679 8263716483 9194839467 9461356553 10855992939 11454302409 12079203411 12429325249 13608216501 14002657559 15580421791 19782836429 23949905037 24644105183 25988589157 27420905767 28384069659 29278283987 30891906497 32577245563 37287975747 42007972677 46741265373 59348509287 73932315549 77965767471 82262717301 87816318469 87834851961 92675719491 97731736689 100564540651 217611200719 263448955407 271085157013 285874480727 301629963437 301693621953 322061123857 339810971467 358349701193 566814419209 630680832641 652833602157 710513849431 813255471039 857623442181 904889890311 966183371571 1019432914401 1075049103579 1106209947161 1700443257627 1892042497923 1946884309457 2131541548293 2193325361287 2312984434973 2440460613263 3318629841483 5840652928371 6234958611299 6579976083861 6937489159051 6938953304919 7321381839789 7815652343741 18704875833897 20812467477153 21415727404027 23446957031223 24126578974157 25442828784703 26845066745893 44778339117511 50446483309601 56130594105049 64247182212081 72379736922471 76328486354109 80535200237679 134335017352533 151339449928803 168391782315147 173272703541673 492561730292621 519818110625019 554911316405611 617436535155539 1477685190877863 1664733949216833 1852309605466617 1905999738958403 3985272181458479 5717999216875209 11955816544375437 43837993996043269 131513981988129807
• Sum of all divisors σ(n): 207408388335206400
• Sum of proper divisors (its aliquot sum) s(n): 75894406347076593
• 131513981988129807 is a deficient number, because the sum of its proper divisors (75894406347076593) is less than itself. Its deficiency is 55619575641053214

Bases of 131513981988129807

• Binary: 111010011001110110100010100010011011001100100110000001111₂
• Hexadecimal: 0x1D33B4513664C0F
• Base-36: ZYXTD9HCBV3

Squares and roots of 131513981988129807

• 131513981988129807 squared (131513981988129807²) is 17295927458374131303063849481857249
• 131513981988129807 cubed (131513981988129807³) is 2274656292228615256411875240832974186882922455920943
• The square root of 131513981988129807 is 362648565.4020015657
• The cube root of 131513981988129807 is 508538.6617703663

Scales and comparisons

• 131,513,981,988,129,807 seconds is equal to 4,181,737,827 years, 39 weeks, 6 days, 1 hour, 23 minutes, 27 seconds.
• To count from 1 to 131,513,981,988,129,807 would take you about twelve billion, five hundred forty-five million, two hundred thirteen thousand, four hundred eighty-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 131513981988129807 cubic inches would be around 42378.2 feet tall.

Recreational maths with 131513981988129807

• 131513981988129807 backwards is 708921889189315131
• The number of decimal digits it has is: 18
• The sum of 131513981988129807's digits is 84
• More coming soon!