120768648
120,768,648 is an even composite number composed of six prime numbers multiplied together.
120768648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 120768648:
23 × 3 × 7 × 112 × 13 × 457
(2 × 2 × 2 × 3 × 7 × 11 × 11 × 13 × 457)See below for interesting mathematical facts about the number 120768648 from the Numbermatics database.
Names of 120768648
- Cardinal: 120768648 can be written as One hundred twenty million, seven hundred sixty-eight thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.20768648 × 108
Factors of 120768648
Divisors of 120768648
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 121 132 143 154 156 168 182 231 242 264 273 286 308 312 363 364 429 457 462 484 546 572 616 726 728 847 858 914 924 968 1001 1092 1144 1371 1452 1573 1694 1716 1828 1848 2002 2184 2541 2742 2904 3003 3146 3199 3388 3432 3656 4004 4719 5027 5082 5484 5941 6006 6292 6398 6776 8008 9438 9597 10054 10164 10968 11011 11882 12012 12584 12796 15081 17823 18876 19194 20108 20328 22022 23764 24024 25592 30162 33033 35189 35646 37752 38388 40216 41587 44044 47528 55297 60324 65351 66066 70378 71292 76776 83174 88088 105567 110594 120648 124761 130702 132132 140756 142584 165891 166348 196053 211134 221188 249522 261404 264264 281512 331782 332696 387079 392106 422268 442376 457457 499044 522808 663564 718861 774158 784212 844536 914914 998088 1161237 1327128 1372371 1437722 1548316 1568424 1829828 2156583 2322474 2744742 2875444 3096632 3659656 4313166 4644948 5032027 5489484 5750888 8626332 9289896 10064054 10978968 15096081 17252664 20128108 30192162 40256216 60384324 120768648
- Sum of all divisors σ(n): 409342080
- Sum of proper divisors (its aliquot sum) s(n): 288573432
- 120768648 is an abundant number, because the sum of its proper divisors (288573432) is greater than itself. Its abundance is 167804784
Bases of 120768648
- Binary: 1110011001011001000100010002
- Hexadecimal: 0x732C888
- Base-36: 1ZWHOO
Squares and roots of 120768648
- 120768648 squared (1207686482) is 14585066339747904
- 120768648 cubed (1207686483) is 1761418742841663026913792
-
The
square root of 120768648 is 10989.4789685407 -
The
cube root of 120768648 is 494.2933125643
Scales and comparisons
How big is 120768648?- 120,768,648 seconds is equal to 3 years, 43 weeks, 4 days, 18 hours, 50 minutes, 48 seconds.
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To count from 1 to 120,768,648 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 120768648 cubic inches would be around 41.2 feet tall.
Recreational maths with 120768648
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