40319904768
40,319,904,768 is an even composite number composed of six prime numbers multiplied together.
40319904768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 40319904768:
210 × 3 × 11 × 13 × 17 × 5399
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 17 × 5399)See below for interesting mathematical facts about the number 40319904768 from the Numbermatics database.
Names of 40319904768
- Cardinal: 40319904768 can be written as Forty billion, three hundred nineteen million, nine hundred four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.0319904768 × 1010
Factors of 40319904768
Divisors of 40319904768
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 17 22 24 26 32 33 34 39 44 48 51 52 64 66 68 78 88 96 102 104 128 132 136 143 156 176 187 192 204 208 221 256 264 272 286 312 352 374 384 408 416 429 442 512 528 544 561 572 624 663 704 748 768 816 832 858 884 1024 1056 1088 1122 1144 1248 1326 1408 1496 1536 1632 1664 1716 1768 2112 2176 2244 2288 2431 2496 2652 2816 2992 3072 3264 3328 3432 3536 4224 4352 4488 4576 4862 4992 5304 5399 5632 5984 6528 6656 6864 7072 7293 8448 8704 8976 9152 9724 9984 10608 10798 11264 11968 13056 13312 13728 14144 14586 16197 16896 17408 17952 18304 19448 19968 21216 21596 23936 26112 27456 28288 29172 32394 33792 35904 36608 38896 39936 42432 43192 47872 52224 54912 56576 58344 59389 64788 70187 71808 73216 77792 84864 86384 91783 95744 109824 113152 116688 118778 129576 140374 143616 146432 155584 169728 172768 178167 183566 191488 210561 219648 226304 233376 237556 259152 275349 280748 287232 311168 339456 345536 356334 367132 421122 439296 466752 475112 518304 550698 561496 574464 622336 678912 691072 712668 734264 772057 842244 933504 950224 1009613 1036608 1101396 1122992 1193179 1244672 1382144 1425336 1468528 1544114 1684488 1867008 1900448 2019226 2073216 2202792 2245984 2316171 2386358 2489344 2764288 2850672 2937056 3028839 3088228 3368976 3579537 3734016 3800896 4038452 4146432 4405584 4491968 4632342 4772716 5528576 5701344 5874112 6057678 6176456 6737952 7159074 7468032 7601792 8076904 8292864 8811168 8983936 9264684 9545432 11402688 11748224 12115356 12352912 13124969 13475904 14318148 15203584 16153808 16585728 17622336 17967872 18529368 19090864 22805376 23496448 24230712 24705824 26249938 26951808 28636296 30407168 32307616 35244672 35935744 37058736 38181728 39374907 45610752 46992896 48461424 49411648 52499876 53903616 57272592 60814336 64615232 70489344 71871488 74117472 76363456 78749814 91221504 93985792 96922848 98823296 104999752 107807232 114545184 129230464 140978688 148234944 152726912 157499628 182443008 193845696 197646592 209999504 215614464 229090368 258460928 281957376 296469888 305453824 314999256 387691392 395293184 419999008 458180736 516921856 592939776 610907648 629998512 775382784 790586368 839998016 916361472 1033843712 1185879552 1221815296 1259997024 1550765568 1679996032 1832722944 2371759104 2519994048 3101531136 3359992064 3665445888 5039988096 6719984128 10079976192 13439968256 20159952384 40319904768
- Sum of all divisors σ(n): 133706764800
- Sum of proper divisors (its aliquot sum) s(n): 93386860032
- 40319904768 is an abundant number, because the sum of its proper divisors (93386860032) is greater than itself. Its abundance is 53066955264
Bases of 40319904768
- Binary: 1001011000110100000011101100000000002
- Hexadecimal: 0x96340EC00
- Base-36: IITFHMO
Squares and roots of 40319904768
- 40319904768 squared (403199047682) is 1625694720500589133824
- 40319904768 cubed (403199047683) is 65547856312424131163679287672832
-
The
square root of 40319904768 is 200798.1692346821 -
The
cube root of 40319904768 is 3429.0448532287
Scales and comparisons
How big is 40319904768?- 40,319,904,768 seconds is equal to 1,282 years, 2 weeks, 3 days, 13 hours, 32 minutes, 48 seconds.
-
To count from 1 to 40,319,904,768 would take you about two thousand, five hundred sixty-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 40319904768 cubic inches would be around 285.8 feet tall.
Recreational maths with 40319904768
- 40319904768 backwards is 86740991304
- 40319904768 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 40319904768's digits is 51
- More coming soon!
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