120031968
120,031,968 is an even composite number composed of six prime numbers multiplied together.
120031968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 120031968:
25 × 3 × 72 × 17 × 19 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 17 × 19 × 79)See below for interesting mathematical facts about the number 120031968 from the Numbermatics database.
Names of 120031968
- Cardinal: 120031968 can be written as One hundred twenty million, thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.20031968 × 108
Factors of 120031968
Divisors of 120031968
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 32 34 38 42 48 49 51 56 57 68 76 79 84 96 98 102 112 114 119 133 136 147 152 158 168 196 204 224 228 237 238 266 272 294 304 316 323 336 357 392 399 408 456 474 476 532 544 553 588 608 632 646 672 714 784 798 816 833 912 931 948 952 969 1064 1106 1176 1264 1292 1343 1428 1501 1568 1596 1632 1659 1666 1824 1862 1896 1904 1938 2128 2212 2261 2352 2499 2528 2584 2686 2793 2856 3002 3192 3318 3332 3724 3792 3808 3871 3876 4029 4256 4424 4503 4522 4704 4998 5168 5372 5586 5712 6004 6384 6636 6664 6783 7448 7584 7742 7752 8058 8848 9006 9044 9401 9996 10336 10507 10744 11172 11424 11613 12008 12768 13272 13328 13566 14896 15484 15504 15827 16116 17696 18012 18088 18802 19992 21014 21488 22344 23226 24016 25517 26544 26656 27132 28203 29792 30968 31008 31521 31654 32232 36024 36176 37604 39984 42028 42976 44688 46452 47481 48032 51034 53088 54264 56406 61936 63042 63308 64464 65807 72048 72352 73549 75208 76551 79968 84056 89376 92904 94962 102068 108528 112812 123872 126084 126616 128928 131614 144096 147098 150416 153102 168112 178619 185808 189924 197421 204136 217056 220647 225624 252168 253232 263228 294196 300832 306204 336224 357238 371616 379848 394842 408272 441294 451248 504336 506464 526456 535857 588392 612408 714476 759696 789684 816544 882588 902496 1008672 1052912 1071714 1176784 1224816 1250333 1428952 1519392 1579368 1765176 2105824 2143428 2353568 2449632 2500666 2857904 3158736 3530352 3750999 4286856 5001332 5715808 6317472 7060704 7501998 8573712 10002664 15003996 17147424 20005328 30007992 40010656 60015984 120031968
- Sum of all divisors σ(n): 413683200
- Sum of proper divisors (its aliquot sum) s(n): 293651232
- 120031968 is an abundant number, because the sum of its proper divisors (293651232) is greater than itself. Its abundance is 173619264
Bases of 120031968
- Binary: 1110010011110001010111000002
- Hexadecimal: 0x7278AE0
- Base-36: 1ZGP9C
Squares and roots of 120031968
- 120031968 squared (1200319682) is 14407673341953024
- 120031968 cubed (1200319683) is 1729381385535758434271232
-
The
square root of 120031968 is 10955.9101858313 -
The
cube root of 120031968 is 493.2862109037
Scales and comparisons
How big is 120031968?- 120,031,968 seconds is equal to 3 years, 42 weeks, 3 days, 6 hours, 12 minutes, 48 seconds.
-
To count from 1 to 120,031,968 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 120031968 cubic inches would be around 41.1 feet tall.
Recreational maths with 120031968
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"Number 120031968 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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The information we have on file for 120031968 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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