470768896
470,768,896 is an even composite number composed of five prime numbers multiplied together.
470768896 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 470768896:
28 × 13 × 17 × 53 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 53 × 157)See below for interesting mathematical facts about the number 470768896 from the Numbermatics database.
Names of 470768896
- Cardinal: 470768896 can be written as Four hundred seventy million, seven hundred sixty-eight thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 4.70768896 × 108
Factors of 470768896
Divisors of 470768896
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 52 53 64 68 104 106 128 136 157 208 212 221 256 272 314 416 424 442 544 628 689 832 848 884 901 1088 1256 1378 1664 1696 1768 1802 2041 2176 2512 2669 2756 3328 3392 3536 3604 4082 4352 5024 5338 5512 6784 7072 7208 8164 8321 10048 10676 11024 11713 13568 14144 14416 16328 16642 20096 21352 22048 23426 28288 28832 32656 33284 34697 40192 42704 44096 46852 56576 57664 65312 66568 69394 85408 88192 93704 108173 115328 130624 133136 138788 141457 170816 176384 187408 216346 230656 261248 266272 277576 282914 341632 374816 432692 522496 532544 555152 565828 683264 749632 865384 1065088 1110304 1131656 1499264 1730768 1838941 2130176 2220608 2263312 2998528 3461536 3677882 4441216 4526624 6923072 7355764 8882432 9053248 13846144 14711528 18106496 27692288 29423056 36212992 58846112 117692224 235384448 470768896
- Sum of all divisors σ(n): 1098682704
- Sum of proper divisors (its aliquot sum) s(n): 627913808
- 470768896 is an abundant number, because the sum of its proper divisors (627913808) is greater than itself. Its abundance is 157144912
Bases of 470768896
- Binary: 111000000111101011101000000002
- Hexadecimal: 0x1C0F5D00
- Base-36: 7SA7LS
Squares and roots of 470768896
- 470768896 squared (4707688962) is 221623353441058816
- 470768896 cubed (4707688963) is 104333381427265059879387136
-
The
square root of 470768896 is 21697.2094058199 -
The
cube root of 470768896 is 777.9217610869
Scales and comparisons
How big is 470768896?- 470,768,896 seconds is equal to 14 years, 50 weeks, 2 days, 17 hours, 8 minutes, 16 seconds.
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To count from 1 to 470,768,896 would take you about twenty-two 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 470768896 cubic inches would be around 64.8 feet tall.
Recreational maths with 470768896
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