830451216
830,451,216 is an even composite number composed of five prime numbers multiplied together.
830451216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 830451216:
24 × 3 × 72 × 71 × 4973
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 71 × 4973)See below for interesting mathematical facts about the number 830451216 from the Numbermatics database.
Names of 830451216
- Cardinal: 830451216 can be written as Eight hundred thirty million, four hundred fifty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 8.30451216 × 108
Factors of 830451216
Divisors of 830451216
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 294 336 392 426 497 568 588 784 852 994 1136 1176 1491 1704 1988 2352 2982 3408 3479 3976 4973 5964 6958 7952 9946 10437 11928 13916 14919 19892 20874 23856 27832 29838 34811 39784 41748 55664 59676 69622 79568 83496 104433 119352 139244 166992 208866 238704 243677 278488 353083 417732 487354 556976 706166 731031 835464 974708 1059249 1412332 1462062 1670928 1949416 2118498 2471581 2824664 2924124 3898832 4236996 4943162 5649328 5848248 7414743 8473992 9886324 11696496 14829486 16947984 17301067 19772648 29658972 34602134 39545296 51903201 59317944 69204268 103806402 118635888 138408536 207612804 276817072 415225608 830451216
- Sum of all divisors σ(n): 2531248704
- Sum of proper divisors (its aliquot sum) s(n): 1700797488
- 830451216 is an abundant number, because the sum of its proper divisors (1700797488) is greater than itself. Its abundance is 870346272
Bases of 830451216
- Binary: 1100010111111110101110000100002
- Hexadecimal: 0x317FAE10
- Base-36: DQFG9C
Squares and roots of 830451216
- 830451216 squared (8304512162) is 689649222155878656
- 830451216 cubed (8304512163) is 572720035152803571423645696
-
The
square root of 830451216 is 28817.5504857717 -
The
cube root of 830451216 is 939.9499052827
Scales and comparisons
How big is 830451216?- 830,451,216 seconds is equal to 26 years, 21 weeks, 16 hours, 53 minutes, 36 seconds.
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To count from 1 to 830,451,216 would take you about thirty-nine 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 830451216 cubic inches would be around 78.3 feet tall.
Recreational maths with 830451216
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