113113728
113,113,728 is an even composite number composed of five prime numbers multiplied together.
113113728 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 113113728:
27 × 32 × 7 × 132 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 83)See below for interesting mathematical facts about the number 113113728 from the Numbermatics database.
Names of 113113728
- Cardinal: 113113728 can be written as One hundred thirteen million, one hundred thirteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.13113728 × 108
Factors of 113113728
Divisors of 113113728
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 83 84 91 96 104 112 117 126 128 144 156 166 168 169 182 192 208 224 234 249 252 273 288 312 332 336 338 364 384 416 448 468 498 504 507 546 576 581 624 664 672 676 728 747 819 832 896 936 996 1008 1014 1079 1092 1152 1162 1183 1248 1328 1344 1352 1456 1494 1521 1638 1664 1743 1872 1992 2016 2028 2158 2184 2324 2366 2496 2656 2688 2704 2912 2988 3042 3237 3276 3486 3549 3744 3984 4032 4056 4316 4368 4648 4732 4992 5229 5312 5408 5824 5976 6084 6474 6552 6972 7098 7488 7553 7968 8064 8112 8632 8736 9296 9464 9711 10458 10624 10647 10816 11648 11952 12168 12948 13104 13944 14027 14196 14976 15106 15936 16224 17264 17472 18592 18928 19422 20916 21294 21632 22659 23904 24336 25896 26208 27888 28054 28392 30212 31872 32448 34528 34944 37184 37856 38844 41832 42081 42588 45318 47808 48672 51792 52416 55776 56108 56784 60424 64896 67977 69056 74368 75712 77688 83664 84162 85176 90636 95616 97344 98189 103584 104832 111552 112216 113568 120848 126243 135954 138112 151424 155376 167328 168324 170352 181272 194688 196378 207168 223104 224432 227136 241696 252486 271908 294567 310752 334656 336648 340704 362544 392756 414336 448864 454272 483392 504972 543816 589134 621504 669312 673296 681408 725088 785512 883701 897728 966784 1009944 1087632 1178268 1243008 1346592 1362816 1450176 1571024 1767402 1795456 2019888 2175264 2356536 2693184 2900352 3142048 3534804 4039776 4350528 4713072 5386368 6284096 7069608 8079552 8701056 9426144 12568192 14139216 16159104 18852288 28278432 37704576 56556864 113113728
- Sum of all divisors σ(n): 407665440
- Sum of proper divisors (its aliquot sum) s(n): 294551712
- 113113728 is an abundant number, because the sum of its proper divisors (294551712) is greater than itself. Its abundance is 181437984
Bases of 113113728
- Binary: 1101011110111111010100000002
- Hexadecimal: 0x6BDFA80
- Base-36: 1VCF40
Squares and roots of 113113728
- 113113728 squared (1131137282) is 12794715462057984
- 113113728 cubed (1131137283) is 1447257964612621122404352
-
The
square root of 113113728 is 10635.4937826131 -
The
cube root of 113113728 is 483.6209494913
Scales and comparisons
How big is 113113728?- 113,113,728 seconds is equal to 3 years, 31 weeks, 4 hours, 28 minutes, 48 seconds.
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To count from 1 to 113,113,728 would take you about five 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 113113728 cubic inches would be around 40.3 feet tall.
Recreational maths with 113113728
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