106440264
106,440,264 is an even composite number composed of six prime numbers multiplied together.
106440264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 106440264:
23 × 33 × 7 × 17 × 41 × 101
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 41 × 101)See below for interesting mathematical facts about the number 106440264 from the Numbermatics database.
Names of 106440264
- Cardinal: 106440264 can be written as One hundred six million, four hundred forty thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.06440264 × 108
Factors of 106440264
Divisors of 106440264
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 41 42 51 54 56 63 68 72 82 84 101 102 108 119 123 126 136 153 164 168 189 202 204 216 238 246 252 287 303 306 328 357 369 378 404 408 459 476 492 504 574 606 612 697 707 714 738 756 808 861 909 918 952 984 1071 1107 1148 1212 1224 1394 1414 1428 1476 1512 1717 1722 1818 1836 2091 2121 2142 2214 2296 2424 2583 2727 2788 2828 2856 2952 3213 3434 3444 3636 3672 4141 4182 4242 4284 4428 4879 5151 5166 5454 5576 5656 6273 6363 6426 6868 6888 7272 7749 8282 8364 8484 8568 8856 9758 10302 10332 10908 12019 12423 12546 12726 12852 13736 14637 15453 15498 16564 16728 16968 18819 19089 19516 20604 20664 21816 24038 24846 25092 25452 25704 28987 29274 30906 30996 33128 36057 37269 37638 38178 39032 41208 43911 46359 48076 49692 50184 50904 57974 58548 61812 61992 70397 72114 74538 75276 76356 86961 87822 92718 96152 99384 108171 111807 115948 117096 123624 131733 140794 144228 149076 150552 152712 173922 175644 185436 211191 216342 223614 231896 260883 263466 281588 288456 298152 324513 347844 351288 370872 422382 432684 447228 492779 521766 526932 563176 633573 649026 695688 782649 844764 865368 894456 985558 1043532 1053864 1267146 1298052 1478337 1565298 1689528 1900719 1971116 2087064 2534292 2596104 2956674 3130596 3801438 3942232 4435011 5068584 5913348 6261192 7602876 8870022 11826696 13305033 15205752 17740044 26610066 35480088 53220132 106440264
- Sum of all divisors σ(n): 370137600
- Sum of proper divisors (its aliquot sum) s(n): 263697336
- 106440264 is an abundant number, because the sum of its proper divisors (263697336) is greater than itself. Its abundance is 157257072
Bases of 106440264
- Binary: 1100101100000100110010010002
- Hexadecimal: 0x6582648
- Base-36: 1RDDU0
Squares and roots of 106440264
- 106440264 squared (1064402642) is 11329529800389696
- 106440264 cubed (1064402643) is 1205918142949346545119744
-
The
square root of 106440264 is 10316.9890956615 -
The
cube root of 106440264 is 473.9166653689
Scales and comparisons
How big is 106440264?- 106,440,264 seconds is equal to 3 years, 19 weeks, 6 days, 22 hours, 44 minutes, 24 seconds.
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To count from 1 to 106,440,264 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 106440264 cubic inches would be around 39.5 feet tall.
Recreational maths with 106440264
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