137438855200
137,438,855,200 is an even composite number composed of five prime numbers multiplied together.
137438855200 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 137438855200:
25 × 52 × 232 × 41 × 892
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 23 × 41 × 89 × 89)See below for interesting mathematical facts about the number 137438855200 from the Numbermatics database.
Names of 137438855200
- Cardinal: 137438855200 can be written as One hundred thirty-seven billion, four hundred thirty-eight million, eight hundred fifty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.374388552 × 1011
Factors of 137438855200
Divisors of 137438855200
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 41 46 50 80 82 89 92 100 115 160 164 178 184 200 205 230 328 356 368 400 410 445 460 529 575 656 712 736 800 820 890 920 943 1025 1058 1150 1312 1424 1640 1780 1840 1886 2047 2050 2116 2225 2300 2645 2848 3280 3560 3649 3680 3772 4094 4100 4232 4450 4600 4715 5290 6560 7120 7298 7544 7921 8188 8200 8464 8900 9200 9430 10235 10580 13225 14240 14596 15088 15842 16376 16400 16928 17800 18245 18400 18860 20470 21160 21689 23575 26450 29192 30176 31684 32752 32800 35600 36490 37720 39605 40940 42320 43378 47081 47150 51175 52900 58384 63368 65504 71200 72980 75440 79210 81880 83927 84640 86756 91225 94162 94300 102350 105800 108445 116768 126736 145960 150880 158420 163760 167854 173512 182183 182450 188324 188600 198025 204700 211600 216890 235405 253472 291920 316840 324761 327520 335708 347024 364366 364900 376648 377200 396050 409400 419635 423200 433780 470810 542225 583840 633680 649522 671416 694048 728732 729800 753296 754400 792100 818800 839270 867560 910915 941620 1084450 1177025 1267360 1299044 1342832 1457464 1459600 1506592 1584200 1623805 1637600 1678540 1735120 1821830 1883240 1930321 2098175 2168900 2354050 2598088 2685664 2914928 2919200 3168400 3247610 3357080 3470240 3643660 3766480 3860642 4190209 4196350 4337800 4554575 4708100 5196176 5829856 6336800 6495220 6714160 7287320 7469503 7532960 7721284 8119025 8380418 8392700 8675600 9109150 9416200 9651605 10392352 12990440 13428320 14574640 14939006 15442568 16238050 16760836 16785400 17351200 18218300 18832400 19303210 20951045 25980880 29149280 29878012 30885136 32476100 33521672 33570800 36436600 37347515 37664800 38606420 41902090 48258025 51961760 59756024 61770272 64952200 67043344 67141600 72873200 74695030 77212840 83804180 96516050 104755225 119512048 129904400 134086688 145746400 149390060 154425680 167608360 171798569 186737575 193032100 209510450 239024096 259808800 298780120 308851360 335216720 343597138 373475150 386064200 419020900 597560240 670433440 687194276 746950300 772128400 838041800 858992845 1195120480 1374388552 1493900600 1544256800 1676083600 1717985690 2748777104 2987801200 3352167200 3435971380 4294964225 5497554208 5975602400 6871942760 8589928450 13743885520 17179856900 27487771040 34359713800 68719427600 137438855200
- Sum of all divisors σ(n): 363381988158
- Sum of proper divisors (its aliquot sum) s(n): 225943132958
- 137438855200 is an abundant number, because the sum of its proper divisors (225943132958) is greater than itself. Its abundance is 88504277758
Bases of 137438855200
- Binary: 11111111111111111111010000000001000002
- Hexadecimal: 0x1FFFFE8020
- Base-36: 1R4ZJNDS
Squares and roots of 137438855200
- 137438855200 squared (1374388552002) is 18889438918686567040000
- 137438855200 cubed (1374388552003) is 2596142860354607661595652608000000
-
The
square root of 137438855200 is 370727.4675553459 -
The
cube root of 137438855200 is 5160.6353903779
Scales and comparisons
How big is 137438855200?- 137,438,855,200 seconds is equal to 4,370 years, 6 weeks, 5 days, 11 hours, 46 minutes, 40 seconds.
-
To count from 1 to 137,438,855,200 would take you about eight thousand, seven hundred forty 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 137438855200 cubic inches would be around 430.1 feet tall.
Recreational maths with 137438855200
- 137438855200 backwards is 002558834731
- 137438855200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137438855200's digits is 46
- More coming soon!
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