138308114976
138,308,114,976 is an even composite number composed of six prime numbers multiplied together.
What does the number 138308114976 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
138308114976 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 138308114976:
25 × 3 × 292 × 31 × 73 × 757
(2 × 2 × 2 × 2 × 2 × 3 × 29 × 29 × 31 × 73 × 757)See below for interesting mathematical facts about the number 138308114976 from the Numbermatics database.
Names of 138308114976
- Cardinal: 138308114976 can be written as One hundred thirty-eight billion, three hundred eight million, one hundred fourteen thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38308114976 × 1011
Factors of 138308114976
Divisors of 138308114976
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 73 87 93 96 116 124 146 174 186 219 232 248 292 348 372 438 464 496 584 696 744 757 841 876 899 928 992 1168 1392 1488 1514 1682 1752 1798 2117 2263 2271 2336 2523 2697 2784 2976 3028 3364 3504 3596 4234 4526 4542 5046 5394 6056 6351 6728 6789 7008 7192 8468 9052 9084 10092 10788 12112 12702 13456 13578 14384 16936 18104 18168 20184 21576 21953 23467 24224 25404 26071 26912 27156 28768 33872 36208 36336 40368 43152 43906 46934 50808 52142 54312 55261 61393 65627 65859 67744 70401 72416 72672 78213 80736 86304 87812 93868 101616 104284 108624 110522 122786 131254 131718 140802 156426 165783 175624 184179 187736 196881 203232 208568 217248 221044 245572 262508 263436 281604 312852 331566 351248 368358 375472 393762 417136 442088 491144 525016 526872 563208 625704 636637 663132 680543 702496 736716 750944 787524 834272 884176 982288 1050032 1053744 1126416 1251408 1273274 1326264 1361086 1473432 1575048 1602569 1713091 1768352 1903183 1909911 1964576 2041629 2100064 2107488 2252832 2502816 2546548 2652528 2722172 2946864 3150096 3205138 3426182 3806366 3819822 4083258 4807707 5093096 5139273 5305056 5444344 5709549 5893728 6300192 6410276 6852364 7612732 7639644 8166516 9615414 10186192 10278546 10888688 11419098 12820552 13704728 15225464 15279288 16333032 19230828 19735747 20372384 20557092 21777376 22838196 25641104 27409456 30450928 30558576 32666064 38461656 39471494 41114184 45676392 46474501 49679639 51282208 54818912 59207241 60901856 61117152 65332128 76923312 78942988 82228368 91352784 92949002 99359278 118414482 139423503 149038917 153846624 157885976 164456736 182705568 185898004 198718556 236828964 278847006 298077834 315771952 371796008 397437112 473657928 557694012 596155668 631543904 743592016 794874224 947315856 1115388024 1192311336 1440709531 1487184032 1589748448 1894631712 2230776048 2384622672 2881419062 4322128593 4461552096 4769245344 5762838124 8644257186 11525676248 17288514372 23051352496 34577028744 46102704992 69154057488 138308114976
- Sum of all divisors σ(n): 393975848448
- Sum of proper divisors (its aliquot sum) s(n): 255667733472
- 138308114976 is an abundant number, because the sum of its proper divisors (255667733472) is greater than itself. Its abundance is 117359618496
Bases of 138308114976
- Binary: 100000001100111100111001011010001000002
- Hexadecimal: 0x2033CE5A20
- Base-36: 1RJD2WIO
Squares and roots of 138308114976
- 138308114976 squared (1383081149762) is 19129134668214435480576
- 138308114976 cubed (1383081149763) is 2645714557082789755070439222706176
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The
square root of 138308114976 is 371897.9900133905 -
The
cube root of 138308114976 is 5171.4923600767
Scales and comparisons
How big is 138308114976?- 138,308,114,976 seconds is equal to 4,397 years, 40 weeks, 8 hours, 49 minutes, 36 seconds.
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To count from 1 to 138,308,114,976 would take you about eight thousand, seven hundred ninety-five 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 138308114976 cubic inches would be around 431 feet tall.
Recreational maths with 138308114976
- 138308114976 backwards is 679411803831
- The number of decimal digits it has is: 12
- The sum of 138308114976's digits is 51
- More coming soon!
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