105142752
105,142,752 is an even composite number composed of six prime numbers multiplied together.
105142752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 105142752:
25 × 33 × 11 × 13 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 23 × 37)See below for interesting mathematical facts about the number 105142752 from the Numbermatics database.
Names of 105142752
- Cardinal: 105142752 can be written as One hundred five million, one hundred forty-two thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.05142752 × 108
Factors of 105142752
Divisors of 105142752
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 32 33 36 37 39 44 46 48 52 54 66 69 72 74 78 88 92 96 99 104 108 111 117 132 138 143 144 148 156 176 184 198 207 208 216 222 234 253 264 276 286 288 296 297 299 312 333 351 352 368 396 407 414 416 429 432 444 468 481 506 528 552 572 592 594 598 621 624 666 702 736 759 792 814 828 851 858 864 888 897 936 962 999 1012 1056 1104 1144 1184 1188 1196 1221 1242 1248 1287 1332 1404 1443 1518 1584 1628 1656 1702 1716 1776 1794 1872 1924 1998 2024 2208 2277 2288 2376 2392 2442 2484 2553 2574 2664 2691 2808 2886 3036 3168 3256 3289 3312 3404 3432 3552 3588 3663 3744 3848 3861 3996 4048 4329 4554 4576 4752 4784 4884 4968 5106 5148 5291 5328 5382 5616 5772 6072 6512 6578 6624 6808 6831 6864 7176 7326 7659 7696 7722 7992 8073 8096 8658 9108 9361 9504 9568 9768 9867 9936 10212 10296 10582 10656 10764 10989 11063 11232 11544 12144 12987 13024 13156 13616 13662 13728 14352 14652 15318 15392 15444 15873 15984 16146 17316 18216 18722 19536 19734 19872 20424 20592 21164 21528 21978 22126 22977 23088 24288 25974 26312 27232 27324 28083 28704 29304 29601 30636 30888 31746 31968 32292 33189 34632 36432 37444 39072 39468 40848 41184 42328 43056 43956 44252 45954 46176 47619 51948 52624 54648 56166 58608 59202 61272 61776 63492 64584 66378 69264 72864 74888 78936 81696 84249 84656 86112 87912 88504 88803 91908 95238 99567 103896 105248 109296 112332 117216 118404 121693 122544 123552 126984 129168 132756 138528 142857 149776 157872 168498 169312 175824 177008 177606 183816 190476 199134 207792 218592 224664 236808 243386 245088 252747 253968 258336 265512 285714 298701 299552 315744 336996 351648 354016 355212 365079 367632 380952 398268 415584 449328 473616 486772 505494 507936 531024 571428 597402 673992 710424 730158 735264 761904 796536 898656 947232 973544 1010988 1062048 1095237 1142856 1194804 1347984 1420848 1460316 1523808 1593072 1947088 2021976 2190474 2285712 2389608 2695968 2841696 2920632 3186144 3285711 3894176 4043952 4380948 4571424 4779216 5841264 6571422 8087904 8761896 9558432 11682528 13142844 17523792 26285688 35047584 52571376 105142752
- Sum of all divisors σ(n): 386104320
- Sum of proper divisors (its aliquot sum) s(n): 280961568
- 105142752 is an abundant number, because the sum of its proper divisors (280961568) is greater than itself. Its abundance is 175818816
Bases of 105142752
- Binary: 1100100010001011001111000002
- Hexadecimal: 0x64459E0
- Base-36: 1QLKO0
Squares and roots of 105142752
- 105142752 squared (1051427522) is 11054998298133504
- 105142752 cubed (1051427523) is 1162352944421073073963008
-
The
square root of 105142752 is 10253.9139844257 -
The
cube root of 105142752 is 471.9830981211
Scales and comparisons
How big is 105142752?- 105,142,752 seconds is equal to 3 years, 17 weeks, 5 days, 22 hours, 19 minutes, 12 seconds.
-
To count from 1 to 105,142,752 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 105142752 cubic inches would be around 39.3 feet tall.
Recreational maths with 105142752
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