106428168
106,428,168 is an even composite number composed of five prime numbers multiplied together.
106428168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 106428168:
23 × 37 × 7 × 11 × 79
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 79)See below for interesting mathematical facts about the number 106428168 from the Numbermatics database.
Names of 106428168
- Cardinal: 106428168 can be written as One hundred six million, four hundred twenty-eight thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.06428168 × 108
Factors of 106428168
Divisors of 106428168
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 79 81 84 88 99 108 126 132 154 158 162 168 189 198 216 231 237 243 252 264 297 308 316 324 378 396 462 474 486 504 553 567 594 616 632 648 693 711 729 756 792 869 891 924 948 972 1106 1134 1188 1386 1422 1458 1512 1659 1701 1738 1782 1848 1896 1944 2079 2133 2187 2212 2268 2376 2607 2673 2772 2844 2916 3318 3402 3476 3564 4158 4266 4374 4424 4536 4977 5103 5214 5346 5544 5688 5832 6083 6237 6399 6636 6804 6952 7128 7821 8019 8316 8532 8748 9954 10206 10428 10692 12166 12474 12798 13272 13608 14931 15309 15642 16038 16632 17064 17496 18249 18711 19197 19908 20412 20856 21384 23463 24057 24332 24948 25596 29862 30618 31284 32076 36498 37422 38394 39816 40824 44793 46926 48114 48664 49896 51192 54747 56133 57591 59724 61236 62568 64152 70389 72996 74844 76788 89586 93852 96228 109494 112266 115182 119448 122472 134379 140778 145992 149688 153576 164241 168399 172773 179172 187704 192456 211167 218988 224532 230364 268758 281556 328482 336798 345546 358344 403137 422334 437976 449064 460728 492723 537516 563112 633501 656964 673596 691092 806274 844668 985446 1075032 1209411 1267002 1313928 1347192 1382184 1478169 1612548 1689336 1900503 1970892 2418822 2534004 2956338 3225096 3801006 3941784 4434507 4837644 5068008 5912676 7602012 8869014 9675288 11825352 13303521 15204024 17738028 26607042 35476056 53214084 106428168
- Sum of all divisors σ(n): 377856000
- Sum of proper divisors (its aliquot sum) s(n): 271427832
- 106428168 is an abundant number, because the sum of its proper divisors (271427832) is greater than itself. Its abundance is 164999664
Bases of 106428168
- Binary: 1100101011111110111000010002
- Hexadecimal: 0x657F708
- Base-36: 1RD4I0
Squares and roots of 106428168
- 106428168 squared (1064281682) is 11326954943836224
- 106428168 cubed (1064281683) is 1205507063691032212357632
-
The
square root of 106428168 is 10316.4028614631 -
The
cube root of 106428168 is 473.8987125351
Scales and comparisons
How big is 106428168?- 106,428,168 seconds is equal to 3 years, 19 weeks, 6 days, 19 hours, 22 minutes, 48 seconds.
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To count from 1 to 106,428,168 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 106428168 cubic inches would be around 39.5 feet tall.
Recreational maths with 106428168
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