130916864
130,916,864 is an even composite number composed of four prime numbers multiplied together.
130916864 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 130916864:
29 × 132 × 17 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 17 × 89)See below for interesting mathematical facts about the number 130916864 from the Numbermatics database.
Names of 130916864
- Cardinal: 130916864 can be written as One hundred thirty million, nine hundred sixteen thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.30916864 × 108
Factors of 130916864
Divisors of 130916864
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 52 64 68 89 104 128 136 169 178 208 221 256 272 338 356 416 442 512 544 676 712 832 884 1088 1157 1352 1424 1513 1664 1768 2176 2314 2704 2848 2873 3026 3328 3536 4352 4628 5408 5696 5746 6052 6656 7072 8704 9256 10816 11392 11492 12104 14144 15041 18512 19669 21632 22784 22984 24208 28288 30082 37024 39338 43264 45568 45968 48416 56576 60164 74048 78676 86528 91936 96832 113152 120328 148096 157352 183872 193664 240656 255697 296192 314704 367744 387328 481312 511394 592384 629408 735488 774656 962624 1022788 1258816 1470976 1925248 2045576 2517632 3850496 4091152 5035264 7700992 8182304 10070528 16364608 32729216 65458432 130916864
- Sum of all divisors σ(n): 303278580
- Sum of proper divisors (its aliquot sum) s(n): 172361716
- 130916864 is an abundant number, because the sum of its proper divisors (172361716) is greater than itself. Its abundance is 41444852
Bases of 130916864
- Binary: 1111100110110100010000000002
- Hexadecimal: 0x7CDA200
- Base-36: 25Y03K
Squares and roots of 130916864
- 130916864 squared (1309168642) is 17139225279594496
- 130916864 cubed (1309168643) is 2243813624994034607980544
-
The
square root of 130916864 is 11441.8907528433 -
The
cube root of 130916864 is 507.7678481273
Scales and comparisons
How big is 130916864?- 130,916,864 seconds is equal to 4 years, 8 weeks, 3 days, 5 hours, 47 minutes, 44 seconds.
-
To count from 1 to 130,916,864 would take you about six 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 130916864 cubic inches would be around 42.3 feet tall.
Recreational maths with 130916864
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