138078080
138,078,080 is an even composite number composed of five prime numbers multiplied together.
138078080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138078080:
27 × 5 × 73 × 17 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 17 × 37)See below for interesting mathematical facts about the number 138078080 from the Numbermatics database.
Names of 138078080
- Cardinal: 138078080 can be written as One hundred thirty-eight million, seventy-eight thousand and eighty.
Scientific notation
- Scientific notation: 1.3807808 × 108
Factors of 138078080
Divisors of 138078080
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 37 40 49 56 64 68 70 74 80 85 98 112 119 128 136 140 148 160 170 185 196 224 238 245 259 272 280 296 320 340 343 370 392 448 476 490 518 544 560 592 595 629 640 680 686 740 784 833 896 952 980 1036 1088 1120 1184 1190 1258 1295 1360 1372 1480 1568 1666 1715 1813 1904 1960 2072 2176 2240 2368 2380 2516 2590 2720 2744 2960 3136 3145 3332 3430 3626 3808 3920 4144 4165 4403 4480 4736 4760 5032 5180 5440 5488 5831 5920 6272 6290 6664 6860 7252 7616 7840 8288 8330 8806 9065 9520 10064 10360 10880 10976 11662 11840 12580 12691 13328 13720 14504 15232 15680 16576 16660 17612 18130 19040 20128 20720 21952 22015 23324 23680 25160 25382 26656 27440 29008 29155 30821 31360 33152 33320 35224 36260 38080 40256 41440 43904 44030 46648 50320 50764 53312 54880 58016 58310 61642 63455 66640 70448 72520 76160 80512 82880 88060 93296 100640 101528 106624 109760 116032 116620 123284 126910 133280 140896 145040 154105 165760 176120 186592 201280 203056 215747 219520 232064 233240 246568 253820 266560 281792 290080 308210 352240 373184 402560 406112 431494 466480 493136 507640 533120 563584 580160 616420 704480 746368 812224 862988 932960 986272 1015280 1078735 1160320 1232840 1408960 1624448 1725976 1865920 1972544 2030560 2157470 2465680 2817920 3451952 3731840 3945088 4061120 4314940 4931360 6903904 8122240 8629880 9862720 13807808 17259760 19725440 27615616 34519520 69039040 138078080
- Sum of all divisors σ(n): 418608000
- Sum of proper divisors (its aliquot sum) s(n): 280529920
- 138078080 is an abundant number, because the sum of its proper divisors (280529920) is greater than itself. Its abundance is 142451840
Bases of 138078080
- Binary: 10000011101011100111100000002
- Hexadecimal: 0x83AE780
- Base-36: 2A7HQ8
Squares and roots of 138078080
- 138078080 squared (1380780802) is 19065556176486400
- 138078080 cubed (1380780803) is 2632535390981383258112000
-
The
square root of 138078080 is 11750.6629600205 -
The
cube root of 138078080 is 516.8623682267
Scales and comparisons
How big is 138078080?- 138,078,080 seconds is equal to 4 years, 20 weeks, 2 days, 3 hours, 1 minute, 20 seconds.
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To count from 1 to 138,078,080 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 138078080 cubic inches would be around 43.1 feet tall.
Recreational maths with 138078080
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