13978001593719072
13,978,001,593,719,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 13978001593719072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1890 divisors.
13978001593719072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 13978001593719072:
25 × 34 × 72 × 136 × 1512
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 151 × 151)See below for interesting mathematical facts about the number 13978001593719072 from the Numbermatics database.
Names of 13978001593719072
- Cardinal: 13978001593719072 can be written as Thirteen quadrillion, nine hundred seventy-eight trillion, one billion, five hundred ninety-three million, seven hundred nineteen thousand and seventy-two.
Scientific notation
- Scientific notation: 1.3978001593719072 × 1016
Factors of 13978001593719072
Divisors of 13978001593719072
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 72 78 81 84 91 96 98 104 108 112 117 126 144 147 151 156 162 168 169 182 189 196 208 216 224 234 252 273 288 294 302 312 324 336 338 351 364 378 392 416 432 441 453 468 504 507 546 567 588 604 624 637 648 672 676 702 728 756 784 819 864 882 906 936 1008 1014 1053 1057 1092 1134 1176 1183 1208 1248 1274 1296 1323 1352 1359 1404 1456 1512 1521 1568 1638 1764 1812 1872 1911 1963 2016 2028 2106 2114 2184 2197 2268 2352 2366 2416 2457 2548 2592 2646 2704 2718 2808 2912 3024 3042 3171 3276 3528 3549 3624 3744 3822 3926 3969 4056 4077 4212 4228 4368 4394 4536 4563 4704 4732 4832 4914 5096 5292 5408 5436 5616 5733 5889 6048 6084 6342 6552 6591 7056 7098 7248 7371 7399 7644 7852 7938 8112 8154 8281 8424 8456 8736 8788 9072 9126 9464 9513 9828 10192 10584 10647 10872 11232 11466 11778 12168 12231 12684 13104 13182 13689 13741 14112 14196 14496 14742 14798 15288 15379 15704 15876 16224 16308 16562 16848 16912 17199 17576 17667 18144 18252 18928 19026 19656 19773 20384 21168 21294 21744 22197 22801 22932 23556 24336 24462 24843 25368 25519 26208 26364 27378 27482 28392 28539 28561 29484 29596 30576 30758 31408 31752 31941 32616 33124 33696 33824 34398 35152 35334 36504 37856 38052 39312 39546 41223 42336 42588 43488 44394 45602 45864 46137 47112 48672 48924 49686 50736 51038 51597 52728 53001 54756 54964 56784 57078 57122 58968 59192 59319 61152 61516 62816 63504 63882 65232 66248 66591 68403 68796 70304 70668 73008 74529 76104 76557 78624 79092 82446 85176 85617 85683 88788 91204 91728 92274 94224 95823 96187 97848 99372 101472 102076 103194 105456 106002 107653 109512 109928 113568 114156 114244 117936 118384 118638 123032 123669 127008 127764 130464 132496 133182 136806 137592 138411 141336 146016 149058 152208 153114 158184 159003 159607 164892 170352 171234 171366 177576 177957 178633 182408 183456 184548 188448 191646 192374 195696 198744 199773 199927 204152 205209 206388 210912 212004 215306 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1553111288191008 1747250199214884 1996857370531296 2329666932286512 3494500398429768 4659333864573024 6989000796859536 13978001593719072
- Sum of all divisors σ(n): 52150976563339269
- Sum of proper divisors (its aliquot sum) s(n): 38172974969620197
- 13978001593719072 is an abundant number, because the sum of its proper divisors (38172974969620197) is greater than itself. Its abundance is 24194973375901125
Bases of 13978001593719072
- Binary: 1100011010100011101011000110111010100111011001001000002
- Hexadecimal: 0x31A8EB1BA9D920
- Base-36: 3TMSDA7LE00
Squares and roots of 13978001593719072
- 13978001593719072 squared (139780015937190722) is 195384528554012916772480456541184
- 13978001593719072 cubed (139780015937190723) is 2731085251516042080904699416183458288952094261248
-
The
square root of 13978001593719072 is 118228598.8824999651 -
The
cube root of 13978001593719072 is 240887.9238389849
Scales and comparisons
How big is 13978001593719072?- 13,978,001,593,719,072 seconds is equal to 444,457,213 years, 45 weeks, 6 days, 5 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,978,001,593,719,072 would take you about one billion, three hundred thirty-three million, three hundred seventy-one thousand, six hundred forty-one 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 13978001593719072 cubic inches would be around 20074 feet tall.
Recreational maths with 13978001593719072
- 13978001593719072 backwards is 27091739510087931
- 13978001593719072 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13978001593719072's digits is 72
- More coming soon!
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MLA style:
"Number 13978001593719072 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 13978001593719072 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/13978001593719072/
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Numbermatics. 2024. "Number 13978001593719072 - Facts about the integer". https://numbermatics.com/n/13978001593719072/
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