131970048
131,970,048 is an even composite number composed of five prime numbers multiplied together.
131970048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 131970048:
210 × 3 × 7 × 17 × 192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 19 × 19)See below for interesting mathematical facts about the number 131970048 from the Numbermatics database.
Names of 131970048
- Cardinal: 131970048 can be written as One hundred thirty-one million, nine hundred seventy thousand and forty-eight.
Scientific notation
- Scientific notation: 1.31970048 × 108
Factors of 131970048
Divisors of 131970048
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 32 34 38 42 48 51 56 57 64 68 76 84 96 102 112 114 119 128 133 136 152 168 192 204 224 228 238 256 266 272 304 323 336 357 361 384 399 408 448 456 476 512 532 544 608 646 672 714 722 768 798 816 896 912 952 969 1024 1064 1083 1088 1216 1292 1344 1428 1444 1536 1596 1632 1792 1824 1904 1938 2128 2166 2176 2261 2432 2527 2584 2688 2856 2888 3072 3192 3264 3584 3648 3808 3876 4256 4332 4352 4522 4864 5054 5168 5376 5712 5776 6137 6384 6528 6783 7168 7296 7581 7616 7752 8512 8664 8704 9044 9728 10108 10336 10752 11424 11552 12274 12768 13056 13566 14592 15162 15232 15504 17024 17328 17408 18088 18411 19456 20216 20672 21504 22848 23104 24548 25536 26112 27132 29184 30324 30464 31008 34048 34656 36176 36822 40432 41344 42959 45696 46208 49096 51072 52224 54264 58368 60648 60928 62016 68096 69312 72352 73644 80864 82688 85918 91392 92416 98192 102144 108528 121296 121856 124032 128877 136192 138624 144704 147288 161728 165376 171836 182784 184832 196384 204288 217056 242592 248064 257754 277248 289408 294576 323456 330752 343672 365568 369664 392768 408576 434112 485184 496128 515508 554496 578816 589152 646912 687344 785536 868224 970368 992256 1031016 1108992 1157632 1178304 1293824 1374688 1571072 1736448 1940736 2062032 2315264 2356608 2587648 2749376 3142144 3472896 3881472 4124064 4713216 5498752 6284288 6945792 7762944 8248128 9426432 10997504 16496256 18852864 21995008 32992512 43990016 65985024 131970048
- Sum of all divisors σ(n): 449226432
- Sum of proper divisors (its aliquot sum) s(n): 317256384
- 131970048 is an abundant number, because the sum of its proper divisors (317256384) is greater than itself. Its abundance is 185286336
Bases of 131970048
- Binary: 1111101110110110100000000002
- Hexadecimal: 0x7DDB400
- Base-36: 26KKQO
Squares and roots of 131970048
- 131970048 squared (1319700482) is 17416093569122304
- 131970048 cubed (1319700483) is 2298402704289561776750592
-
The
square root of 131970048 is 11487.8217256363 -
The
cube root of 131970048 is 509.1258227137
Scales and comparisons
How big is 131970048?- 131,970,048 seconds is equal to 4 years, 10 weeks, 1 day, 10 hours, 20 minutes, 48 seconds.
-
To count from 1 to 131,970,048 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 131970048 cubic inches would be around 42.4 feet tall.
Recreational maths with 131970048
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