390948096
390,948,096 is an even composite number composed of five prime numbers multiplied together.
390948096 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 390948096:
28 × 3 × 7 × 112 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 601)See below for interesting mathematical facts about the number 390948096 from the Numbermatics database.
Names of 390948096
- Cardinal: 390948096 can be written as Three hundred ninety million, nine hundred forty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 3.90948096 × 108
Factors of 390948096
Divisors of 390948096
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 121 128 132 154 168 176 192 224 231 242 256 264 308 336 352 363 384 448 462 484 528 601 616 672 704 726 768 847 896 924 968 1056 1202 1232 1344 1408 1452 1694 1792 1803 1848 1936 2112 2404 2464 2541 2688 2816 2904 3388 3606 3696 3872 4207 4224 4808 4928 5082 5376 5808 6611 6776 7212 7392 7744 8414 8448 9616 9856 10164 11616 12621 13222 13552 14424 14784 15488 16828 19232 19712 19833 20328 23232 25242 26444 27104 28848 29568 30976 33656 38464 39666 40656 46277 46464 50484 52888 54208 57696 59136 67312 72721 76928 79332 81312 92554 92928 100968 105776 108416 115392 134624 138831 145442 153856 158664 162624 185108 201936 211552 216832 218163 230784 269248 277662 290884 317328 325248 370216 403872 423104 436326 461568 509047 538496 555324 581768 634656 650496 740432 807744 846208 872652 1018094 1076992 1110648 1163536 1269312 1480864 1527141 1615488 1692416 1745304 2036188 2221296 2327072 2538624 2961728 3054282 3230976 3490608 4072376 4442592 4654144 5077248 5923456 6108564 6981216 8144752 8885184 9308288 11846912 12217128 13962432 16289504 17770368 18616576 24434256 27924864 32579008 35540736 48868512 55849728 65158016 97737024 130316032 195474048 390948096
- Sum of all divisors σ(n): 1309239232
- Sum of proper divisors (its aliquot sum) s(n): 918291136
- 390948096 is an abundant number, because the sum of its proper divisors (918291136) is greater than itself. Its abundance is 527343040
Bases of 390948096
- Binary: 101110100110101100101000000002
- Hexadecimal: 0x174D6500
- Base-36: 6GRDHC
Squares and roots of 390948096
- 390948096 squared (3909480962) is 152840413766025216
- 390948096 cubed (3909480963) is 59752668753679747683188736
-
The
square root of 390948096 is 19772.4074406735 -
The
cube root of 390948096 is 731.2059232109
Scales and comparisons
How big is 390948096?- 390,948,096 seconds is equal to 12 years, 22 weeks, 2 days, 20 hours, 41 minutes, 36 seconds.
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To count from 1 to 390,948,096 would take you about eighteen 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 390948096 cubic inches would be around 60.9 feet tall.
Recreational maths with 390948096
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