138796320
138,796,320 is an even composite number composed of six prime numbers multiplied together.
138796320 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 138796320:
25 × 3 × 5 × 132 × 29 × 59
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 29 × 59)See below for interesting mathematical facts about the number 138796320 from the Numbermatics database.
Names of 138796320
- Cardinal: 138796320 can be written as One hundred thirty-eight million, seven hundred ninety-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3879632 × 108
Factors of 138796320
Divisors of 138796320
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 59 60 65 78 80 87 96 104 116 118 120 130 145 156 160 169 174 177 195 208 232 236 240 260 290 295 312 338 348 354 377 390 416 435 464 472 480 507 520 580 590 624 676 696 708 754 767 780 845 870 885 928 944 1014 1040 1131 1160 1180 1248 1352 1392 1416 1508 1534 1560 1690 1711 1740 1770 1885 1888 2028 2080 2262 2301 2320 2360 2535 2704 2784 2832 3016 3068 3120 3380 3422 3480 3540 3770 3835 4056 4524 4602 4640 4720 4901 5070 5133 5408 5655 5664 6032 6136 6240 6760 6844 6960 7080 7540 7670 8112 8555 9048 9204 9440 9802 9971 10140 10266 11310 11505 12064 12272 13520 13688 13920 14160 14703 15080 15340 16224 17110 18096 18408 19604 19942 20280 20532 22243 22620 23010 24505 24544 25665 27040 27376 28320 29406 29913 30160 30680 34220 36192 36816 39208 39884 40560 41064 44486 45240 46020 49010 49855 51330 54752 58812 59826 60320 61360 66729 68440 73515 73632 78416 79768 81120 82128 88972 90480 92040 98020 99710 102660 111215 117624 119652 122720 133458 136880 147030 149565 156832 159536 164256 177944 180960 184080 196040 199420 205320 222430 235248 239304 266916 273760 289159 294060 299130 319072 333645 355888 368160 392080 398840 410640 444860 470496 478608 533832 578318 588120 598260 667290 711776 784160 797680 821280 867477 889720 957216 1067664 1156636 1176240 1196520 1334580 1445795 1595360 1734954 1779440 2135328 2313272 2352480 2393040 2669160 2891590 3469908 3558880 4337385 4626544 4786080 5338320 5783180 6939816 8674770 9253088 10676640 11566360 13879632 17349540 23132720 27759264 34699080 46265440 69398160 138796320
- Sum of all divisors σ(n): 498052800
- Sum of proper divisors (its aliquot sum) s(n): 359256480
- 138796320 is an abundant number, because the sum of its proper divisors (359256480) is greater than itself. Its abundance is 220460160
Bases of 138796320
- Binary: 10000100010111011101001000002
- Hexadecimal: 0x845DD20
- Base-36: 2AMVXC
Squares and roots of 138796320
- 138796320 squared (1387963202) is 19264418445542400
- 138796320 cubed (1387963203) is 2673830387181405523968000
-
The
square root of 138796320 is 11781.1849998207 -
The
cube root of 138796320 is 517.7570055311
Scales and comparisons
How big is 138796320?- 138,796,320 seconds is equal to 4 years, 21 weeks, 3 days, 10 hours, 32 minutes.
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To count from 1 to 138,796,320 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 138796320 cubic inches would be around 43.1 feet tall.
Recreational maths with 138796320
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