131916330
131,916,330 is an even composite number composed of six prime numbers multiplied together.
131916330 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131916330:
2 × 33 × 5 × 72 × 132 × 59
(2 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 59)See below for interesting mathematical facts about the number 131916330 from the Numbermatics database.
Names of 131916330
- Cardinal: 131916330 can be written as One hundred thirty-one million, nine hundred sixteen thousand, three hundred thirty.
Scientific notation
- Scientific notation: 1.3191633 × 108
Factors of 131916330
Divisors of 131916330
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 49 54 59 63 65 70 78 90 91 98 105 117 118 126 130 135 147 169 177 182 189 195 210 234 245 270 273 294 295 315 338 351 354 378 390 413 441 455 490 507 531 546 585 590 630 637 702 735 767 819 826 845 882 885 910 945 1014 1062 1170 1183 1239 1274 1323 1365 1470 1521 1534 1593 1638 1690 1755 1770 1890 1911 2065 2205 2301 2366 2457 2478 2535 2646 2655 2730 2891 3042 3185 3186 3510 3549 3717 3822 3835 4095 4130 4410 4563 4602 4914 5070 5310 5369 5733 5782 5915 6195 6370 6615 6903 7098 7434 7605 7670 7965 8190 8281 8673 9126 9555 9971 10647 10738 11151 11466 11505 11830 12285 12390 13230 13806 14455 15210 15930 16107 16562 17199 17346 17745 18585 19110 19942 20709 21294 22302 22815 23010 24570 24843 26019 26845 28665 28910 29913 31941 32214 34398 34515 35490 37170 37583 41405 41418 43365 45630 48321 49686 49855 52038 53235 53690 55755 57330 59826 63882 69030 69797 74529 75166 78057 80535 82810 85995 86730 89739 96642 99710 103545 106470 111510 112749 124215 130095 139594 144963 149058 149565 156114 159705 161070 171990 179478 187915 207090 209391 223587 225498 241605 248430 260190 269217 289926 299130 319410 338247 348985 372645 375830 390285 418782 447174 448695 483210 488579 538434 563745 628173 676494 697970 724815 745290 780570 897390 977158 1014741 1046955 1117935 1127490 1256346 1346085 1449630 1465737 1691235 1884519 2029482 2093910 2235870 2442895 2692170 2931474 3140865 3382470 3769038 4397211 4885790 5073705 6281730 7328685 8794422 9422595 10147410 13191633 14657370 18845190 21986055 26383266 43972110 65958165 131916330
- Sum of all divisors σ(n): 450619200
- Sum of proper divisors (its aliquot sum) s(n): 318702870
- 131916330 is an abundant number, because the sum of its proper divisors (318702870) is greater than itself. Its abundance is 186786540
Bases of 131916330
- Binary: 1111101110011100010001010102
- Hexadecimal: 0x7DCE22A
- Base-36: 26JFAI
Squares and roots of 131916330
- 131916330 squared (1319163302) is 17401918120668900
- 131916330 cubed (1319163303) is 2295597173439138433137000
-
The
square root of 131916330 is 11485.4834465075 -
The
cube root of 131916330 is 509.0567339749
Scales and comparisons
How big is 131916330?- 131,916,330 seconds is equal to 4 years, 10 weeks, 19 hours, 25 minutes, 30 seconds.
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To count from 1 to 131,916,330 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 131916330 cubic inches would be around 42.4 feet tall.
Recreational maths with 131916330
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