131829984
131,829,984 is an even composite number composed of five prime numbers multiplied together.
131829984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131829984:
25 × 33 × 112 × 13 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 13 × 97)See below for interesting mathematical facts about the number 131829984 from the Numbermatics database.
Names of 131829984
- Cardinal: 131829984 can be written as One hundred thirty-one million, eight hundred twenty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.31829984 × 108
Factors of 131829984
Divisors of 131829984
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 72 78 88 96 97 99 104 108 117 121 132 143 144 156 176 194 198 208 216 234 242 264 286 288 291 297 312 351 352 363 388 396 416 429 432 468 484 528 572 582 594 624 702 726 776 792 858 864 873 936 968 1056 1067 1089 1144 1164 1188 1248 1261 1287 1404 1452 1552 1573 1584 1716 1746 1872 1936 2134 2178 2288 2328 2376 2522 2574 2619 2808 2904 3104 3146 3168 3201 3267 3432 3492 3744 3783 3861 3872 4268 4356 4576 4656 4719 4752 5044 5148 5238 5616 5808 6292 6402 6534 6864 6984 7566 7722 8536 8712 9312 9438 9504 9603 10088 10296 10476 11232 11349 11616 11737 12584 12804 13068 13728 13871 13968 14157 15132 15444 17072 17424 18876 19206 20176 20592 20952 22698 23474 25168 25608 26136 27742 27936 28314 28809 30264 30888 34047 34144 34848 35211 37752 38412 40352 41184 41613 41904 42471 45396 46948 50336 51216 52272 55484 56628 57618 60528 61776 68094 70422 75504 76824 83226 83808 84942 90792 93896 102432 104544 105633 110968 113256 115236 121056 123552 124839 136188 140844 151008 152581 153648 166452 169884 181584 187792 211266 221936 226512 230472 249678 272376 281688 305162 307296 316899 332904 339768 363168 374517 375584 422532 443872 453024 457743 460944 499356 544752 563376 610324 633798 665808 679536 749034 845064 915486 921888 998712 1089504 1126752 1220648 1267596 1331616 1359072 1373229 1498068 1690128 1830972 1997424 2441296 2535192 2746458 2996136 3380256 3661944 3994848 4119687 4882592 5070384 5492916 5992272 7323888 8239374 10140768 10985832 11984544 14647776 16478748 21971664 32957496 43943328 65914992 131829984
- Sum of all divisors σ(n): 459839520
- Sum of proper divisors (its aliquot sum) s(n): 328009536
- 131829984 is an abundant number, because the sum of its proper divisors (328009536) is greater than itself. Its abundance is 196179552
Bases of 131829984
- Binary: 1111101101110010000111000002
- Hexadecimal: 0x7DB90E0
- Base-36: 26HKO0
Squares and roots of 131829984
- 131829984 squared (1318299842) is 17379144681440256
- 131829984 cubed (1318299843) is 2291092365287954045435904
-
The
square root of 131829984 is 11481.7239123749 -
The
cube root of 131829984 is 508.9456418239
Scales and comparisons
How big is 131829984?- 131,829,984 seconds is equal to 4 years, 9 weeks, 6 days, 19 hours, 26 minutes, 24 seconds.
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To count from 1 to 131,829,984 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 131829984 cubic inches would be around 42.4 feet tall.
Recreational maths with 131829984
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