138343920
138,343,920 is an even composite number composed of seven prime numbers multiplied together.
138343920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138343920:
24 × 3 × 5 × 11 × 13 × 29 × 139
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 29 × 139)See below for interesting mathematical facts about the number 138343920 from the Numbermatics database.
Names of 138343920
- Cardinal: 138343920 can be written as One hundred thirty-eight million, three hundred forty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3834392 × 108
Factors of 138343920
Divisors of 138343920
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 29 30 33 39 40 44 48 52 55 58 60 65 66 78 80 87 88 104 110 116 120 130 132 139 143 145 156 165 174 176 195 208 220 232 240 260 264 278 286 290 312 319 330 348 377 390 417 429 435 440 464 520 528 556 572 580 624 638 660 695 696 715 754 780 834 858 870 880 957 1040 1112 1131 1144 1160 1276 1320 1390 1392 1430 1508 1529 1560 1595 1668 1716 1740 1807 1885 1914 2085 2145 2224 2262 2288 2320 2552 2640 2780 2860 3016 3058 3120 3190 3336 3432 3480 3614 3770 3828 4031 4147 4170 4290 4524 4587 4785 5104 5421 5560 5655 5720 6032 6116 6380 6672 6864 6960 7228 7540 7645 7656 8062 8294 8340 8580 9035 9048 9174 9570 10842 11120 11310 11440 12093 12232 12441 12760 14456 15080 15290 15312 16124 16588 16680 17160 18070 18096 18348 19140 19877 20155 20735 21684 22620 22935 24186 24464 24882 25520 27105 28912 30160 30580 32248 33176 33360 34320 36140 36696 38280 39754 40310 41470 43368 44341 45240 45870 48372 49764 52403 54210 59631 60465 61160 62205 64496 66352 72280 73392 76560 79508 80620 82940 86736 88682 90480 91740 96744 99385 99528 104806 108420 119262 120930 122320 124410 133023 144560 157209 159016 161240 165880 177364 183480 193488 198770 199056 209612 216840 221705 238524 241860 248820 262015 266046 298155 314418 318032 322480 331760 354728 366960 397540 419224 433680 443410 477048 483720 497640 524030 532092 576433 596310 628836 665115 709456 786045 795080 838448 886820 954096 967440 995280 1048060 1064184 1152866 1192620 1257672 1330230 1572090 1590160 1729299 1773640 2096120 2128368 2305732 2385240 2515344 2660460 2882165 3144180 3458598 3547280 4192240 4611464 4770480 5320920 5764330 6288360 6917196 8646495 9222928 10641840 11528660 12576720 13834392 17292990 23057320 27668784 34585980 46114640 69171960 138343920
- Sum of all divisors σ(n): 524966400
- Sum of proper divisors (its aliquot sum) s(n): 386622480
- 138343920 is an abundant number, because the sum of its proper divisors (386622480) is greater than itself. Its abundance is 248278560
Bases of 138343920
- Binary: 10000011111011110101111100002
- Hexadecimal: 0x83EF5F0
- Base-36: 2AD6UO
Squares and roots of 138343920
- 138343920 squared (1383439202) is 19139040200966400
- 138343920 cubed (1383439203) is 2647769846439279564288000
-
The
square root of 138343920 is 11761.9692228811 -
The
cube root of 138343920 is 517.1938584633
Scales and comparisons
How big is 138343920?- 138,343,920 seconds is equal to 4 years, 20 weeks, 5 days, 4 hours, 52 minutes.
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To count from 1 to 138,343,920 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 138343920 cubic inches would be around 43.1 feet tall.
Recreational maths with 138343920
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