400120768772991

Names of 400120768772991

• Cardinal: 400120768772991 can be written as Four hundred trillion, one hundred twenty billion, seven hundred sixty-eight million, seven hundred seventy-two thousand, nine hundred ninety-one.

Scientific notation

• Scientific notation: 4.00120768772991 × 10¹⁴

Factors of 400120768772991

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 3464

Divisors of 400120768772991

• Number of divisors d(n): 288
• Complete list of divisors:
  1 3 7 9 21 27 49 61 63 97 127 147 183 189 291 381 427 441 549 679 873 889 1143 1281 1323 1647 2037 2619 2667 2989 3169 3429 3843 4753 5917 6111 6223 7747 8001 8967 9507 11529 12319 14259 16129 17751 18333 18669 22183 23241 24003 26901 28521 36957 41419 42777 48387 53253 54229 56007 66549 69723 80703 85563 86233 110871 112903 124257 128331 145161 155281 159759 162687 168021 193309 199647 209169 258699 289933 307393 332613 338709 372771 379603 402463 435483 465843 488061 579927 598941 603631 751459 776097 790321 869799 922179 983869 1016127 1118313 1138809 1207389 1353163 1397529 1464183 1564513 1739781 1810893 2151751 2254377 2328291 2370963 2609397 2766537 2817241 2951607 3048381 3416427 3622167 4059489 4192587 4693539 5219343 5260213 5432679 6455253 6763131 6887083 7112889 7828191 8299611 8451723 8854821 9472141 10249281 10866501 10951591 12178467 14080617 15062257 15780639 16298037 18750973 19365759 19720687 20289393 20661249 21338667 24550243 25355169 26564463 28416423 32854773 36535401 36821491 39038911 42241851 45186771 47341917 48209581 51112801 56252919 58097277 59162061 61983747 73650729 76065507 76661137 85249269 95435293 98564319 110464473 117116733 131256811 135560313 142025751 144628743 153338403 168758757 171851701 177486183 185951241 220952187 229983411 255747807 273272377 286305879 295692957 331393419 351350199 357789607 393770433 406680939 433886229 460015209 506276271 515555103 532458549 662856561 668047051 689950233 819817131 858917637 918797677 994180257 1054050597 1073368821 1181311299 1202961907 1301658687 1380045627 1546665309 1912906639 2004141153 2069850699 2381373571 2459451393 2504527249 2576752911 2756393031 3117880861 3220106463 3543933897 3608885721 4639995927 4676329357 4957941697 5738719917 6012423459 7144120713 7378354179 7513581747 8269179093 9353642583 9660319389 10826657163 14028988071 14873825091 16669614997 17216159751 18037270377 21432362139 21825166027 22540745241 24807537279 28060927749 32479971489 34705591879 42086964213 44621475273 50008844991 51648479253 64297086417 65475498081 67622235723 84182783247 104116775637 116687304979 126260892639 133864425819 150026534973 152776162189 196426494243 242939143153 302434443517 312350326911 350061914937 450079604919 458328486567 589279482729 728817429459 907303330551 937050980733 1050185744811 1374985459701 2117041104619 2186452288377 2721909991653 3150557234433 4124956379103 6351123313857 6559356865131 8165729974959 14819287732333 19053369941571 44457863196999 57160109824713 133373589590997 400120768772991
• Sum of all divisors σ(n): 713924490283200
• Sum of proper divisors (its aliquot sum) s(n): 313803721510209
• 400120768772991 is a deficient number, because the sum of its proper divisors (313803721510209) is less than itself. Its deficiency is 86317047262782

Bases of 400120768772991

• Binary: 1011010111110100001100000010010100011101101111111₂
• Hexadecimal: 0x16BE8604A3B7F
• Base-36: 3XTWXYWY9R

Squares and roots of 400120768772991

• 400120768772991 squared (400120768772991²) is 160096629603489329751691086081
• 400120768772991 cubed (400120768772991³) is 64057986514912939913882707155573274528838271
• The square root of 400120768772991 is 20003018.9914670381
• The cube root of 400120768772991 is 73688.0444927183

Scales and comparisons

• 400,120,768,772,991 seconds is equal to 12,722,602 years, 41 weeks, 1 day, 8 hours, 29 minutes, 51 seconds.
• To count from 1 to 400,120,768,772,991 would take you about thirty-one million, eight hundred six thousand, five hundred six 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 400120768772991 cubic inches would be around 6140.7 feet tall.

Recreational maths with 400120768772991

• 400120768772991 backwards is 199277867021004
• 400120768772991 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 400120768772991's digits is 63
• More coming soon!