13997793517344
13,997,793,517,344 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13997793517344 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.
13997793517344 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13997793517344:
25 × 32 × 72 × 132 × 37 × 41 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 13 × 37 × 41 × 53 × 73)See below for interesting mathematical facts about the number 13997793517344 from the Numbermatics database.
Names of 13997793517344
- Cardinal: 13997793517344 can be written as Thirteen trillion, nine hundred ninety-seven billion, seven hundred ninety-three million, five hundred seventeen thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.3997793517344 × 1013
Factors of 13997793517344
Divisors of 13997793517344
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 37 39 41 42 48 49 52 53 56 63 72 73 74 78 82 84 91 96 98 104 106 111 112 117 123 126 144 146 147 148 156 159 164 168 169 182 196 208 212 219 222 224 234 246 252 259 273 287 288 292 294 296 312 318 328 333 336 338 364 369 371 392 416 424 438 441 444 468 477 481 492 504 507 511 518 533 546 574 584 588 592 624 636 637 656 657 666 672 676 689 728 738 742 777 784 819 848 861 876 882 888 936 949 954 962 984 1008 1014 1022 1036 1066 1092 1113 1148 1168 1176 1183 1184 1248 1272 1274 1312 1314 1332 1352 1378 1443 1456 1476 1484 1517 1521 1533 1554 1568 1599 1638 1696 1722 1752 1764 1776 1813 1872 1898 1908 1911 1924 1961 1968 2009 2016 2028 2044 2067 2072 2132 2173 2184 2226 2296 2331 2336 2352 2366 2544 2548 2583 2597 2628 2664 2701 2704 2756 2847 2886 2912 2952 2968 2993 3034 3042 3066 3108 3198 3276 3339 3367 3444 3504 3528 3549 3552 3577 3626 3731 3744 3796 3816 3822 3848 3869 3922 3936 4018 4056 4088 4134 4144 4264 4329 4346 4368 4452 4551 4592 4599 4662 4704 4732 4797 4823 5088 5096 5166 5194 5256 5328 5402 5408 5439 5512 5694 5733 5772 5883 5904 5936 5986 6027 6068 6084 6132 6201 6216 6253 6396 6519 6552 6643 6678 6734 6888 6929 7008 7056 7098 7154 7252 7462 7592 7632 7644 7696 7738 7791 7844 8036 8103 8112 8176 8268 8281 8288 8528 8541 8658 8692 8736 8904 8957 8979 9102 9184 9198 9324 9464 9594 9646 10101 10192 10332 10388 10512 10619 10647 10656 10731 10804 10878 11024 11193 11388 11466 11544 11607 11766 11808 11872 11972 12054 12136 12168 12264 12337 12402 12432 12506 12792 13038 13104 13286 13356 13468 13653 13727 13776 13858 14112 14196 14308 14469 14504 14924 15184 15211 15264 15288 15392 15476 15582 15688 16072 16206 16224 16317 16352 16536 16562 17056 17082 17316 17384 17649 17808 17914 17958 18081 18204 18396 18648 18759 18907 18928 19188 19292 19557 19721 19929 20202 20384 20664 20776 20787 20951 21024 21238 21294 21462 21608 21756 22048 22386 22776 22932 23088 23214 23373 23532 23569 23944 24108 24272 24309 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42035415968 42676199748 44018218608 44864722812 47289842964 47611542576 47937649032 48603449713 48772799712 51273968928 54045534816 55546799672 56901599664 59819630416 62490149631 63053123952 63916865376 66027327912 67297084218 71417313864 76910953392 82827180576 83320199508 85352399496 88036437216 89729445624 94579685928 95223085152 95875298064 97206899426 111093599344 113803199328 119639260832 124980299262 126106247904 132054655824 134594168436 142834627728 145810349139 153821906784 166640399016 170704798992 179458891248 189159371856 191750596128 194413798852 222187198688 249960598524 264109311648 269188336872 285669255456 291620698278 333280798032 341409597984 358917782496 378318743712 388827597704 437431047417 499921197048 538376673744 583241396556 666561596064 777655195408 874862094834 999842394096 1076753347488 1166482793112 1555310390816 1749724189668 1999684788192 2332965586224 3499448379336 4665931172448 6998896758672 13997793517344
- Sum of all divisors σ(n): 54483903334224
- Sum of proper divisors (its aliquot sum) s(n): 40486109816880
- 13997793517344 is an abundant number, because the sum of its proper divisors (40486109816880) is greater than itself. Its abundance is 26488316299536
Bases of 13997793517344
- Binary: 110010111011000111011000001010011111001000002
- Hexadecimal: 0xCBB1D829F20
- Base-36: 4YMHWUIW0
Squares and roots of 13997793517344
- 13997793517344 squared (139977935173442) is 195938223354197711228814336
- 13997793517344 cubed (139977935173443) is 2742702792667289465808779428720171843584
-
The
square root of 13997793517344 is 3741362.5215079065 -
The
cube root of 13997793517344 is 24100.1563997265
Scales and comparisons
How big is 13997793517344?- 13,997,793,517,344 seconds is equal to 445,086 years, 27 weeks, 6 days, 1 hour, 2 minutes, 24 seconds.
-
To count from 1 to 13,997,793,517,344 would take you about one million, one hundred twelve thousand, seven hundred sixteen 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 13997793517344 cubic inches would be around 2008.3 feet tall.
Recreational maths with 13997793517344
- 13997793517344 backwards is 44371539779931
- 13997793517344 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13997793517344's digits is 72
- More coming soon!
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"Number 13997793517344 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13997793517344 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13997793517344/
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The information we have on file for 13997793517344 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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