400264640594157144
400,264,640,594,157,144 is an even composite number composed of seven prime numbers multiplied together.
400264640594157144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 400264640594157144:
23 × 3 × 13 × 17 × 23 × 43 × 76304020049
(2 × 2 × 2 × 3 × 13 × 17 × 23 × 43 × 76304020049)See below for interesting mathematical facts about the number 400264640594157144 from the Numbermatics database.
Names of 400264640594157144
- Cardinal: 400264640594157144 can be written as Four hundred quadrillion, two hundred sixty-four trillion, six hundred forty billion, five hundred ninety-four million, one hundred fifty-seven thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.00264640594157144 × 1017
Factors of 400264640594157144
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 76304020150
Divisors of 400264640594157144
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 12 13 17 23 24 26 34 39 43 46 51 52 68 69 78 86 92 102 104 129 136 138 156 172 184 204 221 258 276 299 312 344 391 408 442 516 552 559 598 663 731 782 884 897 989 1032 1118 1173 1196 1326 1462 1564 1677 1768 1794 1978 2193 2236 2346 2392 2652 2924 2967 3128 3354 3588 3956 4386 4472 4692 5083 5304 5848 5934 6708 7176 7912 8772 9384 9503 10166 11868 12857 13416 15249 16813 17544 19006 20332 23736 25714 28509 30498 33626 38012 38571 40664 50439 51428 57018 60996 67252 76024 77142 100878 102856 114036 121992 134504 154284 201756 218569 228072 308568 403512 437138 655707 874276 1311414 1748552 2622828 5245656 76304020049 152608040098 228912060147 305216080196 457824120294 610432160392 915648240588 991952260637 1297168340833 1754992461127 1831296481176 1983904521274 2594336681666 2975856781911 3281072862107 3509984922254 3891505022499 3967809042548 5188673363332 5264977383381 5951713563822 6562145724214 7019969844508 7783010044998 7935618085096 9843218586321 10377346726664 10529954766762 11903427127644 13124291448428 14039939689016 15566020089996 16863188430829 19686437172642 21059909533524 22814901994651 23806854255288 26248582896856 29834871839159 31132040179992 33726376861658 39372874345284 42119819067048 42653947207391 45629803989302 50589565292487 55778238655819 59669743678318 67452753723316 68444705983953 75464675828461 78745748690568 85307894414782 89504615517477 91259607978604 101179130584974 111556477311638 119339487356636 127961841622173 134905507446632 136889411967906 150929351656922 167334715967457 170615788829564 179009231034954 182519215957208 202358261169948 223112954623276 226394027485383 238678974713272 255923683244346 273778823935812 301858703313844 334669431934914 341231577659128 358018462069908 387853333909067 404716522339896 446225909246552 452788054970766 511847366488692 547557647871624 603717406627688 669338863869828 716036924139816 725117102525647 775706667818134 905576109941532 981040785769993 1023694732977384 1163560001727201 1282899489083837 1338677727739656 1450234205051294 1551413335636268 1811152219883064 1962081571539986 2175351307576941 2327120003454402 2565798978167674 2900468410102588 2943122357309979 3102826671272536 3848698467251511 3924163143079972 4350702615153882 4654240006908804 5131597956335348 5800936820205176 5886244714619958 7697396934503022 7848326286159944 8701405230307764 9308480013817608 10263195912670696 11772489429239916 15394793869006044 16677693358089881 17402810460615528 23544978858479832 30789587738012088 33355386716179762 50033080074269643 66710773432359524 100066160148539286 133421546864719048 200132320297078572 400264640594157144
- Sum of all divisors σ(n): 1218324923012736000
- Sum of proper divisors (its aliquot sum) s(n): 818060282418578856
- 400264640594157144 is an abundant number, because the sum of its proper divisors (818060282418578856) is greater than itself. Its abundance is 417795641824421712
Bases of 400264640594157144
- Binary: 101100011100000011010010001111001101100001110011110010110002
- Hexadecimal: 0x58E0691E6C39E58
- Base-36: 31H5Z1EQZSRC
Squares and roots of 400264640594157144
- 400264640594157144 squared (4002646405941571442) is 160211782509969791046199031766236736
- 400264640594157144 cubed (4002646405941571443) is 64127111545302329955254881392547700059607534689641984
-
The
square root of 400264640594157144 is 632664714.2003077953 -
The
cube root of 400264640594157144 is 736968.7546206591
Scales and comparisons
How big is 400264640594157144?- 400,264,640,594,157,144 seconds is equal to 12,727,177,471 years, 3 weeks, 4 days, 9 hours, 52 minutes, 24 seconds.
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To count from 1 to 400,264,640,594,157,144 would take you about thirty-eight billion, one hundred eighty-one million, five hundred thirty-two thousand, four hundred thirteen 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 400264640594157144 cubic inches would be around 61414.1 feet tall.
Recreational maths with 400264640594157144
- 400264640594157144 backwards is 441751495046462004
- The number of decimal digits it has is: 18
- The sum of 400264640594157144's digits is 66
- More coming soon!
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