138813760512
138,813,760,512 is an even composite number composed of five prime numbers multiplied together.
What does the number 138813760512 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 396 divisors.
138813760512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 138813760512:
210 × 32 × 72 × 97 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 97 × 3169)See below for interesting mathematical facts about the number 138813760512 from the Numbermatics database.
Names of 138813760512
- Cardinal: 138813760512 can be written as One hundred thirty-eight billion, eight hundred thirteen million, seven hundred sixty thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38813760512 × 1011
Factors of 138813760512
Divisors of 138813760512
- Number of divisors d(n): 396
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 97 98 112 126 128 144 147 168 192 194 196 224 252 256 288 291 294 336 384 388 392 441 448 504 512 576 582 588 672 679 768 776 784 873 882 896 1008 1024 1152 1164 1176 1344 1358 1536 1552 1568 1746 1764 1792 2016 2037 2304 2328 2352 2688 2716 3072 3104 3136 3169 3492 3528 3584 4032 4074 4608 4656 4704 4753 5376 5432 6111 6208 6272 6338 6984 7056 7168 8064 8148 9216 9312 9408 9506 9507 10752 10864 12222 12416 12544 12676 13968 14112 14259 16128 16296 18624 18816 19012 19014 21504 21728 22183 24444 24832 25088 25352 27936 28224 28518 28521 32256 32592 37248 37632 38024 38028 42777 43456 44366 48888 49664 50176 50704 55872 56448 57036 57042 64512 65184 66549 74496 75264 76048 76056 85554 86912 88732 97776 99328 101408 111744 112896 114072 114084 130368 133098 148992 150528 152096 152112 155281 171108 173824 177464 195552 199647 202816 223488 225792 228144 228168 260736 266196 297984 304192 304224 307393 310562 342216 347648 354928 391104 399294 405632 446976 451584 456288 456336 465843 521472 532392 608384 608448 614786 621124 684432 695296 709856 782208 798588 811264 893952 912576 912672 922179 931686 1042944 1064784 1216768 1216896 1229572 1242248 1368864 1397529 1419712 1564416 1597176 1622528 1825152 1825344 1844358 1863372 2085888 2129568 2151751 2433536 2433792 2459144 2484496 2737728 2766537 2795058 2839424 3128832 3194352 3245056 3650304 3650688 3688716 3726744 4259136 4303502 4867072 4867584 4918288 4968992 5475456 5533074 5590116 5678848 6257664 6388704 6455253 7300608 7301376 7377432 7453488 8518272 8607004 9735168 9836576 9937984 10950912 11066148 11180232 11357696 12777408 12910506 14601216 14602752 14754864 14906976 15062257 17036544 17214008 19365759 19673152 19875968 21901824 22132296 22360464 22715392 25554816 25821012 29205504 29509728 29813952 30124514 34073088 34428016 38731518 39346304 39751936 43803648 44264592 44720928 45186771 51109632 51642024 59019456 59627904 60249028 68146176 68856032 77463036 78692608 79503872 88529184 89441856 90373542 102219264 103284048 118038912 119255808 120498056 135560313 137712064 154926072 157385216 159007744 177058368 178883712 180747084 204438528 206568096 236077824 238511616 240996112 271120626 275424128 309852144 314770432 354116736 357767424 361494168 413136192 472155648 477023232 481992224 542241252 550848256 619704288 708233472 715534848 722988336 826272384 944311296 963984448 1084482504 1101696512 1239408576 1416466944 1431069696 1445976672 1652544768 1927968896 2168965008 2203393024 2478817152 2832933888 2891953344 3305089536 3855937792 4337930016 4957634304 5783906688 6610179072 7711875584 8675860032 9915268608 11567813376 15423751168 17351720064 19830537216 23135626752 34703440128 46271253504 69406880256 138813760512
- Sum of all divisors σ(n): 471217475820
- Sum of proper divisors (its aliquot sum) s(n): 332403715308
- 138813760512 is an abundant number, because the sum of its proper divisors (332403715308) is greater than itself. Its abundance is 193589954796
Bases of 138813760512
- Binary: 100000010100011111000111100100000000002
- Hexadecimal: 0x2051F1E400
- Base-36: 1RRQ4N40
Squares and roots of 138813760512
- 138813760512 squared (1388137605122) is 19269260107482890502144
- 138813760512 cubed (1388137605123) is 2674838457803565341302136638537728
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The
square root of 138813760512 is 372577.1873209631 -
The
cube root of 138813760512 is 5177.7869095013
Scales and comparisons
How big is 138813760512?- 138,813,760,512 seconds is equal to 4,413 years, 44 weeks, 17 hours, 55 minutes, 12 seconds.
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To count from 1 to 138,813,760,512 would take you about eight thousand, eight hundred twenty-seven 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 138813760512 cubic inches would be around 431.5 feet tall.
Recreational maths with 138813760512
- 138813760512 backwards is 215067318831
- The number of decimal digits it has is: 12
- The sum of 138813760512's digits is 45
- More coming soon!
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