138228480
138,228,480 is an even composite number composed of five prime numbers multiplied together.
138228480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 138228480:
28 × 32 × 5 × 132 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 71)See below for interesting mathematical facts about the number 138228480 from the Numbermatics database.
Names of 138228480
- Cardinal: 138228480 can be written as One hundred thirty-eight million, two hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3822848 × 108
Factors of 138228480
Divisors of 138228480
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 71 72 78 80 90 96 104 117 120 128 130 142 144 156 160 169 180 192 195 208 213 234 240 256 260 284 288 312 320 338 355 360 384 390 416 426 468 480 507 520 568 576 585 624 639 640 676 710 720 768 780 832 845 852 923 936 960 1014 1040 1065 1136 1152 1170 1248 1278 1280 1352 1420 1440 1521 1560 1664 1690 1704 1846 1872 1920 2028 2080 2130 2272 2304 2340 2496 2535 2556 2704 2769 2840 2880 3042 3120 3195 3328 3380 3408 3692 3744 3840 4056 4160 4260 4544 4615 4680 4992 5070 5112 5408 5538 5680 5760 6084 6240 6390 6760 6816 7384 7488 7605 8112 8307 8320 8520 9088 9230 9360 9984 10140 10224 10816 11076 11360 11520 11999 12168 12480 12780 13520 13632 13845 14768 14976 15210 16224 16614 16640 17040 18176 18460 18720 20280 20448 21632 22152 22720 23998 24336 24960 25560 27040 27264 27690 29536 29952 30420 32448 33228 34080 35997 36920 37440 40560 40896 41535 43264 44304 45440 47996 48672 49920 51120 54080 54528 55380 59072 59995 60840 64896 66456 68160 71994 73840 74880 81120 81792 83070 88608 90880 95992 97344 102240 107991 108160 110760 118144 119990 121680 129792 132912 136320 143988 147680 149760 162240 163584 166140 177216 179985 191984 194688 204480 215982 216320 221520 236288 239980 243360 265824 272640 287976 295360 324480 332280 354432 359970 383968 389376 408960 431964 443040 479960 486720 531648 539955 575952 590720 648960 664560 708864 719940 767936 817920 863928 886080 959920 973440 1063296 1079910 1151904 1181440 1329120 1439880 1535872 1727856 1772160 1919840 1946880 2126592 2159820 2303808 2658240 2879760 3071744 3455712 3544320 3839680 4319640 4607616 5316480 5759520 6911424 7679360 8639280 9215232 10632960 11519040 13822848 15358720 17278560 23038080 27645696 34557120 46076160 69114240 138228480
- Sum of all divisors σ(n): 525169008
- Sum of proper divisors (its aliquot sum) s(n): 386940528
- 138228480 is an abundant number, because the sum of its proper divisors (386940528) is greater than itself. Its abundance is 248712048
Bases of 138228480
- Binary: 10000011110100110011000000002
- Hexadecimal: 0x83D3300
- Base-36: 2AAPS0
Squares and roots of 138228480
- 138228480 squared (1382284802) is 19107112683110400
- 138228480 cubed (1382284803) is 2641147143375072264192000
-
The
square root of 138228480 is 11757.0608572041 -
The
cube root of 138228480 is 517.0499623107
Scales and comparisons
How big is 138228480?- 138,228,480 seconds is equal to 4 years, 20 weeks, 3 days, 20 hours, 48 minutes.
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To count from 1 to 138,228,480 would take you about six 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 138228480 cubic inches would be around 43.1 feet tall.
Recreational maths with 138228480
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