137285967104
137,285,967,104 is an even composite number composed of six prime numbers multiplied together.
137285967104 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 137285967104:
28 × 11 × 13 × 19 × 31 × 6367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 19 × 31 × 6367)See below for interesting mathematical facts about the number 137285967104 from the Numbermatics database.
Names of 137285967104
- Cardinal: 137285967104 can be written as One hundred thirty-seven billion, two hundred eighty-five million, nine hundred sixty-seven thousand, one hundred four.
Scientific notation
- Scientific notation: 1.37285967104 × 1011
Factors of 137285967104
Divisors of 137285967104
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 8 11 13 16 19 22 26 31 32 38 44 52 62 64 76 88 104 124 128 143 152 176 208 209 247 248 256 286 304 341 352 403 416 418 494 496 572 589 608 682 704 806 832 836 988 992 1144 1178 1216 1364 1408 1612 1664 1672 1976 1984 2288 2356 2432 2717 2728 2816 3224 3328 3344 3952 3968 4433 4576 4712 4864 5434 5456 6367 6448 6479 6688 7657 7904 7936 8866 9152 9424 10868 10912 12734 12896 12958 13376 15314 15808 17732 18304 18848 21736 21824 25468 25792 25916 26752 30628 31616 35464 36608 37696 43472 43648 50936 51584 51832 53504 61256 63232 70037 70928 75392 82771 84227 86944 87296 101872 103168 103664 120973 122512 140074 141856 150784 165542 168454 173888 197377 203744 207328 241946 245024 280148 283712 331084 336908 347776 394754 407488 414656 483892 490048 560296 567424 662168 673816 695552 789508 814976 829312 910481 967784 980096 1120592 1134848 1324336 1330703 1347632 1572649 1579016 1629952 1658624 1820962 1935568 1960192 2171147 2241184 2565901 2648672 2661406 2695264 3145298 3158032 3641924 3750163 3871136 4342294 4482368 5131802 5297344 5322812 5390528 6290596 6316064 7283848 7500326 7742272 8684588 8964736 10263604 10594688 10645624 10781056 12581192 12632128 14567696 15000652 15484544 17299139 17369176 17929472 20527208 21189376 21291248 21562112 25162384 25264256 28224911 29135392 30001304 30969088 34598278 34738352 41054416 41251793 42582496 48752119 50324768 50528512 56449822 58270784 60002608 69196556 69476704 82108832 82503586 85164992 97504238 100649536 112899644 116541568 120005216 138393112 138953408 164217664 165007172 170329984 195008476 201299072 225799288 233083136 240010432 276786224 277906816 328435328 330014344 340659968 390016952 402598144 451598576 480020864 536273309 553572448 555813632 656870656 660028688 780033904 903197152 960041728 1072546618 1107144896 1320057376 1560067808 1806394304 2145093236 2214289792 2640114752 3120135616 3612788608 4290186472 4428579584 5280229504 6240271232 7225577216 8580372944 10560459008 12480542464 17160745888 34321491776 68642983552 137285967104
- Sum of all divisors σ(n): 349875240960
- Sum of proper divisors (its aliquot sum) s(n): 212589273856
- 137285967104 is an abundant number, because the sum of its proper divisors (212589273856) is greater than itself. Its abundance is 75303306752
Bases of 137285967104
- Binary: 11111111101101110000110011101000000002
- Hexadecimal: 0x1FF6E19D00
- Base-36: 1R2GIQ68
Squares and roots of 137285967104
- 137285967104 squared (1372859671042) is 18847436763680570146816
- 137285967104 cubed (1372859671043) is 2587488583533370975139745826340864
-
The
square root of 137285967104 is 370521.2100595593 -
The
cube root of 137285967104 is 5158.7211028401
Scales and comparisons
How big is 137285967104?- 137,285,967,104 seconds is equal to 4,365 years, 13 weeks, 6 days, 22 hours, 51 minutes, 44 seconds.
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To count from 1 to 137,285,967,104 would take you about eight thousand, seven hundred thirty 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 137285967104 cubic inches would be around 429.9 feet tall.
Recreational maths with 137285967104
- 137285967104 backwards is 401769582731
- The number of decimal digits it has is: 12
- The sum of 137285967104's digits is 53
- More coming soon!
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