139971200
139,971,200 is an even composite number composed of five prime numbers multiplied together.
139971200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 139971200:
27 × 52 × 17 × 31 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 31 × 83)See below for interesting mathematical facts about the number 139971200 from the Numbermatics database.
Names of 139971200
- Cardinal: 139971200 can be written as One hundred thirty-nine million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.399712 × 108
Factors of 139971200
Divisors of 139971200
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 64 68 80 83 85 100 124 128 136 155 160 166 170 200 248 272 310 320 332 340 400 415 425 496 527 544 620 640 664 680 775 800 830 850 992 1054 1088 1240 1328 1360 1411 1550 1600 1660 1700 1984 2075 2108 2176 2480 2573 2635 2656 2720 2822 3100 3200 3320 3400 3968 4150 4216 4960 5146 5270 5312 5440 5644 6200 6640 6800 7055 8300 8432 9920 10292 10540 10624 10880 11288 12400 12865 13175 13280 13600 14110 16600 16864 19840 20584 21080 22576 24800 25730 26350 26560 27200 28220 33200 33728 35275 41168 42160 43741 45152 49600 51460 52700 53120 54400 56440 64325 66400 67456 70550 82336 84320 87482 90304 99200 102920 105400 112880 128650 132800 141100 164672 168640 174964 180608 205840 210800 218705 225760 257300 265600 282200 329344 337280 349928 411680 421600 437410 451520 514600 564400 699856 823360 843200 874820 903040 1029200 1093525 1128800 1399712 1646720 1686400 1749640 2058400 2187050 2257600 2799424 3499280 4116800 4374100 4515200 5598848 6998560 8233600 8748200 13997120 17496400 27994240 34992800 69985600 139971200
- Sum of all divisors σ(n): 382475520
- Sum of proper divisors (its aliquot sum) s(n): 242504320
- 139971200 is an abundant number, because the sum of its proper divisors (242504320) is greater than itself. Its abundance is 102533120
Bases of 139971200
- Binary: 10000101011111001010100000002
- Hexadecimal: 0x857CA80
- Base-36: 2BC2GW
Squares and roots of 139971200
- 139971200 squared (1399712002) is 19591936829440000
- 139971200 cubed (1399712003) is 2742306908340912128000000
-
The
square root of 139971200 is 11830.9424814763 -
The
cube root of 139971200 is 519.2138020695
Scales and comparisons
How big is 139971200?- 139,971,200 seconds is equal to 4 years, 23 weeks, 3 days, 53 minutes, 20 seconds.
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To count from 1 to 139,971,200 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 139971200 cubic inches would be around 43.3 feet tall.
Recreational maths with 139971200
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