123141920
123,141,920 is an even composite number composed of six prime numbers multiplied together.
123141920 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 123141920:
25 × 5 × 11 × 31 × 37 × 61
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 31 × 37 × 61)See below for interesting mathematical facts about the number 123141920 from the Numbermatics database.
Names of 123141920
- Cardinal: 123141920 can be written as One hundred twenty-three million, one hundred forty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.2314192 × 108
Factors of 123141920
Divisors of 123141920
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 31 32 37 40 44 55 61 62 74 80 88 110 122 124 148 155 160 176 185 220 244 248 296 305 310 341 352 370 407 440 488 496 592 610 620 671 682 740 814 880 976 992 1147 1184 1220 1240 1342 1364 1480 1628 1705 1760 1891 1952 2035 2257 2294 2440 2480 2684 2728 2960 3256 3355 3410 3782 4070 4514 4588 4880 4960 5368 5456 5735 5920 6512 6710 6820 7564 8140 9028 9176 9455 9760 10736 10912 11285 11470 12617 13024 13420 13640 15128 16280 18056 18352 18910 20801 21472 22570 22940 24827 25234 26840 27280 30256 32560 36112 36704 37820 41602 45140 45880 49654 50468 53680 54560 60512 63085 65120 69967 72224 75640 83204 90280 91760 99308 100936 104005 107360 124135 126170 139934 151280 166408 180560 183520 198616 201872 208010 248270 252340 279868 302560 332816 349835 361120 397232 403744 416020 496540 504680 559736 665632 699670 769637 794464 832040 993080 1009360 1119472 1399340 1539274 1664080 1986160 2018720 2238944 2798680 3078548 3328160 3848185 3972320 5597360 6157096 7696370 11194720 12314192 15392740 24628384 30785480 61570960 123141920
- Sum of all divisors σ(n): 341978112
- Sum of proper divisors (its aliquot sum) s(n): 218836192
- 123141920 is an abundant number, because the sum of its proper divisors (218836192) is greater than itself. Its abundance is 95694272
Bases of 123141920
- Binary: 1110101011011111111001000002
- Hexadecimal: 0x756FF20
- Base-36: 21BCWW
Squares and roots of 123141920
- 123141920 squared (1231419202) is 15163932461286400
- 123141920 cubed (1231419203) is 1867315758033132965888000
-
The
square root of 123141920 is 11096.9329095927 -
The
cube root of 123141920 is 497.5101821947
Scales and comparisons
How big is 123141920?- 123,141,920 seconds is equal to 3 years, 47 weeks, 4 days, 6 hours, 5 minutes, 20 seconds.
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To count from 1 to 123,141,920 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 123141920 cubic inches would be around 41.5 feet tall.
Recreational maths with 123141920
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