122033978118993369

Names of 122033978118993369

• Cardinal: 122033978118993369 can be written as One hundred twenty-two quadrillion, thirty-three trillion, nine hundred seventy-eight billion, one hundred eighteen million, nine hundred ninety-three thousand, three hundred sixty-nine.

Scientific notation

• Scientific notation: 1.22033978118993369 × 10¹⁷

Factors of 122033978118993369

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 6111

Divisors of 122033978118993369

• Number of divisors d(n): 288
• Complete list of divisors:
  1 3 11 13 17 33 39 51 121 143 169 187 221 289 363 429 507 561 663 867 1331 1573 1859 2057 2431 2873 3179 3757 3993 4719 4913 5577 6067 6171 7293 8619 9537 11271 14739 17303 18201 20449 22627 26741 31603 34969 41327 48841 51909 54043 61347 63869 66737 67881 78871 80223 94809 103139 104907 123981 146523 162129 191607 200211 224939 236613 294151 309417 347633 384659 454597 537251 594473 674817 702559 734107 830297 867581 882453 1025323 1042899 1134529 1153977 1340807 1363791 1611753 1753363 1783419 2107677 2202321 2490891 2602743 3075969 3403587 3823963 4022421 5000567 5260089 5909761 6539203 7728149 8075177 9133267 9543391 11278553 11471889 12479819 14748877 15001701 17430491 17729283 19286993 19617609 22793719 23184447 24225531 27399801 28630173 29807171 33835659 36808489 37439457 44246631 52291473 57860979 65007371 68381157 85009639 89421513 100465937 104977301 110425467 124064083 137278009 162237647 191735401 195022113 212156923 250730909 255028917 296318347 301397811 314931903 327878881 372192249 387493223 404893379 411834027 478510357 486712941 575206203 625744313 636470769 752192727 888955041 983636643 1105125307 1162479669 1214680137 1364704913 1435531071 1784614117 1877232939 2109089411 2333726153 2758039999 3259501817 3315375921 3606667691 4094114739 4262425453 4453827169 5037411899 5263613927 5353842351 6220634641 6327268233 6883187443 7001178459 8134676069 8274119997 9778505451 10637653321 10820003073 12787276359 13361481507 15112235697 15790841781 18661903923 20649562329 23199983521 24404028207 30338439989 31912959963 35854519987 39673344601 46886679983 48992098859 55411530889 57899753197 68426981051 69599950563 75715061873 89481436759 91015319967 105750788897 107563559961 117014186531 119020033803 138289493173 140660039949 146976296577 166234592667 173699259591 180840106457 205280943153 227145185619 268444310277 317252366691 351042559593 394399719857 414868479519 515753479813 542520319371 609526839779 636897285167 752696791561 832865680603 984295804349 1163258677867 1183199159571 1287156051841 1521184424903 1547260439439 1797763411249 1828580519337 1910691855501 1989241171027 2258090374683 2350921383941 2498597041809 2952887413047 3489776033601 3861468155523 4563553274709 5393290233747 5967723513081 6704795237569 7052764151823 8279664707171 10827253847839 12795845456537 14158716570251 16733028673933 19775397523739 20114385712707 21881652881297 24838994121513 25860135223351 30561977991233 32481761543517 38387536369611 42476149710753 50199086021799 59326192571217 65644958643891 77580405670053 91685933973699 140754300021907 184063315413263 217529372761129 240698181694267 284461487456861 336181757903563 422262900065721 552189946239789 652588118283387 722094545082801 853384462370583 1008545273710689 2392823100372419 3129076362025471 3697999336939193 7178469301117257 9387229086076413 11093998010817579 40677992706331123 122033978118993369
• Sum of all divisors σ(n): 205940726103265920
• Sum of proper divisors (its aliquot sum) s(n): 83906747984272551
• 122033978118993369 is a deficient number, because the sum of its proper divisors (83906747984272551) is less than itself. Its deficiency is 38127230134720818

Bases of 122033978118993369

• Binary: 110110001100011010100000110101100010011110111010111011001₂
• Hexadecimal: 0x1B18D41AC4F75D9
• Base-36: XDLFNLW3S9L

Squares and roots of 122033978118993369

• 122033978118993369 squared (122033978118993369²) is 14892291815546952363543185865970161
• 122033978118993369 cubed (122033978118993369³) is 1817365613560120817962735585438230039315429910862409
• The square root of 122033978118993369 is 349333620.0811387249
• The cube root of 122033978118993369 is 496013.6059491113

Scales and comparisons

• 122,033,978,118,993,369 seconds is equal to 3,880,303,028 years, 15 weeks, 6 days, 3 hours, 56 minutes, 9 seconds.
• To count from 1 to 122,033,978,118,993,369 would take you about eleven billion, six hundred forty million, nine hundred nine thousand and eighty-four 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 122033978118993369 cubic inches would be around 41334.5 feet tall.

Recreational maths with 122033978118993369

• 122033978118993369 backwards is 963399811879330221
• The number of decimal digits it has is: 18
• The sum of 122033978118993369's digits is 84
• More coming soon!