113201088
113,201,088 is an even composite number composed of seven prime numbers multiplied together.
113201088 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 113201088:
26 × 3 × 7 × 11 × 13 × 19 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 19 × 31)See below for interesting mathematical facts about the number 113201088 from the Numbermatics database.
Names of 113201088
- Cardinal: 113201088 can be written as One hundred thirteen million, two hundred one thousand and eighty-eight.
Scientific notation
- Scientific notation: 1.13201088 × 108
Factors of 113201088
Divisors of 113201088
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 19 21 22 24 26 28 31 32 33 38 39 42 44 48 52 56 57 62 64 66 76 77 78 84 88 91 93 96 104 112 114 124 132 133 143 152 154 156 168 176 182 186 192 208 209 217 224 228 231 247 248 264 266 273 286 304 308 312 336 341 352 364 372 399 403 416 418 429 434 448 456 462 494 496 528 532 546 572 589 608 616 624 627 651 672 682 704 728 741 744 798 806 832 836 858 868 912 924 988 992 1001 1023 1056 1064 1092 1144 1178 1209 1216 1232 1248 1254 1302 1344 1364 1456 1463 1482 1488 1596 1612 1672 1716 1729 1736 1767 1824 1848 1976 1984 2002 2046 2112 2128 2184 2288 2356 2387 2418 2464 2496 2508 2604 2717 2728 2821 2912 2926 2964 2976 3003 3192 3224 3344 3432 3458 3472 3534 3648 3696 3952 4004 4092 4123 4256 4368 4389 4433 4576 4712 4774 4836 4928 5016 5187 5208 5434 5456 5642 5824 5852 5928 5952 6006 6384 6448 6479 6688 6864 6916 6944 7068 7161 7392 7657 7904 8008 8151 8184 8246 8463 8512 8736 8778 8866 9152 9424 9548 9672 10032 10374 10416 10868 10912 11284 11704 11856 12012 12369 12768 12896 12958 13299 13376 13728 13832 13888 14136 14322 14784 15314 15808 16016 16302 16368 16492 16926 17472 17556 17732 18848 19019 19096 19344 19437 20064 20748 20832 21736 21824 22568 22971 23408 23712 24024 24738 25536 25792 25916 26598 27456 27664 28272 28644 30628 31031 32032 32604 32736 32984 33852 35112 35464 37696 38038 38192 38688 38874 40128 41496 41664 43472 45136 45353 45942 46816 47424 48048 49476 51832 53196 53599 55328 56544 57057 57288 61256 62062 64064 65208 65472 65968 67704 70224 70928 76076 76384 77376 77748 82992 84227 86944 90272 90706 91884 93093 93632 96096 98952 103664 106392 107198 110656 113088 114114 114576 122512 124124 130416 131936 135408 136059 140448 141856 152152 152768 155496 160797 165984 168454 173888 180544 181412 183768 186186 192192 197904 207328 212784 214396 228228 229152 245024 248248 252681 260832 263872 270816 272118 280896 283712 304304 310992 321594 331968 336908 362824 367536 372372 395808 414656 425568 428792 456456 458304 490048 496496 505362 521664 541632 544236 589589 608608 621984 643188 673816 725648 735072 744744 791616 851136 857584 912912 992992 1010724 1088472 1179178 1217216 1243968 1286376 1347632 1451296 1470144 1489488 1715168 1768767 1825824 1985984 2021448 2176944 2358356 2572752 2695264 2902592 2978976 3430336 3537534 3651648 4042896 4353888 4716712 5145504 5390528 5957952 7075068 8085792 8707776 9433424 10291008 14150136 16171584 18866848 28300272 37733696 56600544 113201088
- Sum of all divisors σ(n): 436961280
- Sum of proper divisors (its aliquot sum) s(n): 323760192
- 113201088 is an abundant number, because the sum of its proper divisors (323760192) is greater than itself. Its abundance is 210559104
Bases of 113201088
- Binary: 1101011111101001111110000002
- Hexadecimal: 0x6BF4FC0
- Base-36: 1VEAIO
Squares and roots of 113201088
- 113201088 squared (1132010882) is 12814486324383744
- 113201088 cubed (1132010883) is 1450613794081360750313472
-
The
square root of 113201088 is 10639.5999924809 -
The
cube root of 113201088 is 483.7454208381
Scales and comparisons
How big is 113201088?- 113,201,088 seconds is equal to 3 years, 31 weeks, 1 day, 4 hours, 44 minutes, 48 seconds.
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To count from 1 to 113,201,088 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 113201088 cubic inches would be around 40.3 feet tall.
Recreational maths with 113201088
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