137991168
137,991,168 is an even composite number composed of five prime numbers multiplied together.
137991168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 137991168:
210 × 33 × 7 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 23 × 31)See below for interesting mathematical facts about the number 137991168 from the Numbermatics database.
Names of 137991168
- Cardinal: 137991168 can be written as One hundred thirty-seven million, nine hundred ninety-one thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37991168 × 108
Factors of 137991168
Divisors of 137991168
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 31 32 36 42 46 48 54 56 62 63 64 69 72 84 92 93 96 108 112 124 126 128 138 144 161 168 184 186 189 192 207 216 217 224 248 252 256 276 279 288 322 336 368 372 378 384 414 432 434 448 483 496 504 512 552 558 576 621 644 651 672 713 736 744 756 768 828 837 864 868 896 966 992 1008 1024 1104 1116 1152 1242 1288 1302 1344 1426 1449 1472 1488 1512 1536 1656 1674 1728 1736 1792 1932 1953 1984 2016 2139 2208 2232 2304 2484 2576 2604 2688 2852 2898 2944 2976 3024 3072 3312 3348 3456 3472 3584 3864 3906 3968 4032 4278 4347 4416 4464 4608 4968 4991 5152 5208 5376 5704 5796 5859 5888 5952 6048 6417 6624 6696 6912 6944 7168 7728 7812 7936 8064 8556 8694 8832 8928 9216 9936 9982 10304 10416 10752 11408 11592 11718 11776 11904 12096 12834 13248 13392 13824 13888 14973 15456 15624 15872 16128 17112 17388 17664 17856 19251 19872 19964 20608 20832 21504 22816 23184 23436 23552 23808 24192 25668 26496 26784 27648 27776 29946 30912 31248 31744 32256 34224 34776 35328 35712 38502 39744 39928 41216 41664 44919 45632 46368 46872 47616 48384 51336 52992 53568 55552 59892 61824 62496 64512 68448 69552 70656 71424 77004 79488 79856 82432 83328 89838 91264 92736 93744 95232 96768 102672 105984 107136 111104 119784 123648 124992 134757 136896 139104 142848 154008 158976 159712 164864 166656 179676 182528 185472 187488 193536 205344 211968 214272 222208 239568 247296 249984 269514 273792 278208 285696 308016 317952 319424 333312 359352 365056 370944 374976 410688 428544 479136 494592 499968 539028 547584 556416 616032 635904 638848 666624 718704 730112 741888 749952 821376 857088 958272 999936 1078056 1095168 1112832 1232064 1277696 1437408 1483776 1499904 1642752 1916544 1999872 2156112 2190336 2225664 2464128 2555392 2874816 2999808 3285504 3833088 4312224 4451328 4928256 5110784 5749632 5999616 6571008 7666176 8624448 9856512 11499264 15332352 17248896 19713024 22998528 34497792 45997056 68995584 137991168
- Sum of all divisors σ(n): 503070720
- Sum of proper divisors (its aliquot sum) s(n): 365079552
- 137991168 is an abundant number, because the sum of its proper divisors (365079552) is greater than itself. Its abundance is 227088384
Bases of 137991168
- Binary: 10000011100110010100000000002
- Hexadecimal: 0x8399400
- Base-36: 2A5MO0
Squares and roots of 137991168
- 137991168 squared (1379911682) is 19041562446004224
- 137991168 cubed (1379911683) is 2627567442469059802693632
-
The
square root of 137991168 is 11746.9642035719 -
The
cube root of 137991168 is 516.7539006827
Scales and comparisons
How big is 137991168?- 137,991,168 seconds is equal to 4 years, 20 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 137,991,168 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 137991168 cubic inches would be around 43.1 feet tall.
Recreational maths with 137991168
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