13953832013664
13,953,832,013,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 13953832013664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
13953832013664 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 13953832013664:
25 × 32 × 31 × 43 × 1861 × 19531
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 31 × 43 × 1861 × 19531)See below for interesting mathematical facts about the number 13953832013664 from the Numbermatics database.
Names of 13953832013664
- Cardinal: 13953832013664 can be written as Thirteen trillion, nine hundred fifty-three billion, eight hundred thirty-two million, thirteen thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3953832013664 × 1013
Factors of 13953832013664
Divisors of 13953832013664
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 32 36 43 48 62 72 86 93 96 124 129 144 172 186 248 258 279 288 344 372 387 496 516 558 688 744 774 992 1032 1116 1333 1376 1488 1548 1861 2064 2232 2666 2976 3096 3722 3999 4128 4464 5332 5583 6192 7444 7998 8928 10664 11166 11997 12384 14888 15996 16749 19531 21328 22332 23994 29776 31992 33498 39062 42656 44664 47988 57691 58593 59552 63984 66996 78124 80023 89328 95976 115382 117186 127968 133992 156248 160046 173073 175779 178656 191952 230764 234372 240069 267984 312496 320092 346146 351558 383904 461528 468744 480138 519219 535968 605461 624992 640184 692292 703116 720207 839833 923056 937488 960276 1038438 1210922 1280368 1384584 1406232 1440414 1679666 1816383 1846112 1874976 1920552 2076876 2421844 2480713 2519499 2560736 2769168 2812464 2880828 3359332 3632766 3841104 4153752 4843688 4961426 5038998 5449149 5538336 5624928 5761656 6718664 7265532 7442139 7558497 7682208 8307504 9687376 9922852 10077996 10898298 11523312 13437328 14531064 14884278 15116994 16615008 19374752 19845704 20155992 21796596 22326417 23046624 26034823 26874656 29062128 29768556 30233988 36347191 39691408 40311984 43593192 44652834 52069646 58124256 59537112 60467976 72694382 78104469 79382816 80623968 87186384 89305668 104139292 109041573 119074224 120935952 145388764 156208938 174372768 178611336 208278584 218083146 234313407 238148448 241871904 290777528 312417876 327124719 357222672 416557168 436166292 468626814 581555056 624835752 654249438 714445344 833114336 872332584 937253628 1126762921 1163110112 1249671504 1308498876 1562929213 1744665168 1874507256 2253525842 2499343008 2616997752 3125858426 3380288763 3489330336 3749014512 4507051684 4688787639 5233995504 6251716852 6760577526 7498029024 9014103368 9377575278 10140866289 10467991008 12503433704 13521155052 14066362917 18028206736 18755150556 20281732578 25006867408 27042310104 28132725834 36056413472 37510301112 40563465156 48450805603 50013734816 54084620208 56265451668 75020602224 81126930312 96901611206 108169240416 112530903336 145352416809 150041204448 162253860624 193803222412 225061806672 290704833618 324507721248 387606444824 436057250427 450123613344 581409667236 775212889648 872114500854 1162819334472 1550425779296 1744229001708 2325638668944 3488458003416 4651277337888 6976916006832 13953832013664
- Sum of all divisors σ(n): 41938505376768
- Sum of proper divisors (its aliquot sum) s(n): 27984673363104
- 13953832013664 is an abundant number, because the sum of its proper divisors (27984673363104) is greater than itself. Its abundance is 14030841349440
Bases of 13953832013664
- Binary: 110010110000111000010011001101001111011000002
- Hexadecimal: 0xCB0E1334F60
- Base-36: 4Y2AVAXK0
Squares and roots of 13953832013664
- 13953832013664 squared (139538320136642) is 194709427865554321082704896
- 13953832013664 cubed (139538320136643) is 2716942647912573205617056467635551698944
-
The
square root of 13953832013664 is 3735482.8354128465 -
The
cube root of 13953832013664 is 24074.9002718849
Scales and comparisons
How big is 13953832013664?- 13,953,832,013,664 seconds is equal to 443,688 years, 36 weeks, 1 day, 8 hours, 14 minutes, 24 seconds.
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To count from 1 to 13,953,832,013,664 would take you about one million, one hundred nine thousand, two hundred twenty-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 13953832013664 cubic inches would be around 2006.2 feet tall.
Recreational maths with 13953832013664
- 13953832013664 backwards is 46631023835931
- The number of decimal digits it has is: 14
- The sum of 13953832013664's digits is 54
- More coming soon!
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