123072120
123,072,120 is an even composite number composed of five prime numbers multiplied together.
123072120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 123072120:
23 × 32 × 5 × 192 × 947
(2 × 2 × 2 × 3 × 3 × 5 × 19 × 19 × 947)See below for interesting mathematical facts about the number 123072120 from the Numbermatics database.
Names of 123072120
- Cardinal: 123072120 can be written as One hundred twenty-three million, seventy-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.2307212 × 108
Factors of 123072120
Divisors of 123072120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 361 380 456 570 684 722 760 855 947 1083 1140 1368 1444 1710 1805 1894 2166 2280 2841 2888 3249 3420 3610 3788 4332 4735 5415 5682 6498 6840 7220 7576 8523 8664 9470 10830 11364 12996 14205 14440 16245 17046 17993 18940 21660 22728 25992 28410 32490 34092 35986 37880 42615 43320 53979 56820 64980 68184 71972 85230 89965 107958 113640 129960 143944 161937 170460 179930 215916 269895 323874 340920 341867 359860 431832 539790 647748 683734 719720 809685 1025601 1079580 1295496 1367468 1619370 1709335 2051202 2159160 2734936 3076803 3238740 3418670 4102404 5128005 6153606 6477480 6837340 8204808 10256010 12307212 13674680 15384015 20512020 24614424 30768030 41024040 61536060 123072120
- Sum of all divisors σ(n): 422589960
- Sum of proper divisors (its aliquot sum) s(n): 299517840
- 123072120 is an abundant number, because the sum of its proper divisors (299517840) is greater than itself. Its abundance is 176445720
Bases of 123072120
- Binary: 1110101010111101110011110002
- Hexadecimal: 0x755EE78
- Base-36: 219V20
Squares and roots of 123072120
- 123072120 squared (1230721202) is 15146746721294400
- 123072120 cubed (1230721203) is 1864142230092750952128000
-
The
square root of 123072120 is 11093.7874506411 -
The
cube root of 123072120 is 497.4161639159
Scales and comparisons
How big is 123072120?- 123,072,120 seconds is equal to 3 years, 47 weeks, 3 days, 10 hours, 42 minutes.
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To count from 1 to 123,072,120 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 123072120 cubic inches would be around 41.5 feet tall.
Recreational maths with 123072120
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