13888320
13,888,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 13888320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
13888320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 13888320:
26 × 3 × 5 × 17 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 23 × 37)See below for interesting mathematical facts about the number 13888320 from the Numbermatics database.
Names of 13888320
- Cardinal: 13888320 can be written as Thirteen million, eight hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.388832 × 107
Factors of 13888320
Divisors of 13888320
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 32 34 37 40 46 48 51 60 64 68 69 74 80 85 92 96 102 111 115 120 136 138 148 160 170 184 185 192 204 222 230 240 255 272 276 296 320 340 345 368 370 391 408 444 460 480 510 544 552 555 592 629 680 690 736 740 782 816 851 888 920 960 1020 1088 1104 1110 1173 1184 1258 1360 1380 1472 1480 1564 1632 1702 1776 1840 1887 1955 2040 2208 2220 2346 2368 2516 2553 2720 2760 2960 3128 3145 3264 3404 3552 3680 3774 3910 4080 4255 4416 4440 4692 5032 5106 5440 5520 5865 5920 6256 6290 6808 7104 7360 7548 7820 8160 8510 8880 9384 9435 10064 10212 11040 11730 11840 12512 12580 12765 13616 14467 15096 15640 16320 17020 17760 18768 18870 20128 20424 22080 23460 25024 25160 25530 27232 28934 30192 31280 34040 35520 37536 37740 40256 40848 43401 46920 50320 51060 54464 57868 60384 62560 68080 72335 75072 75480 81696 86802 93840 100640 102120 115736 120768 125120 136160 144670 150960 163392 173604 187680 201280 204240 217005 231472 272320 289340 301920 347208 375360 408480 434010 462944 578680 603840 694416 816960 868020 925888 1157360 1388832 1736040 2314720 2777664 3472080 4629440 6944160 13888320
- Sum of all divisors σ(n): 50035968
- Sum of proper divisors (its aliquot sum) s(n): 36147648
- 13888320 is an abundant number, because the sum of its proper divisors (36147648) is greater than itself. Its abundance is 22259328
Bases of 13888320
- Binary: 1101001111101011010000002
- Hexadecimal: 0xD3EB40
- Base-36: 89OAO
Squares and roots of 13888320
- 13888320 squared (138883202) is 192885432422400
- 13888320 cubed (138883203) is 2678854608820666368000
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The
square root of 13888320 is 3726.7036372645 -
The
cube root of 13888320 is 240.3716464207
Scales and comparisons
How big is 13888320?- 13,888,320 seconds is equal to 22 weeks, 6 days, 17 hours, 52 minutes.
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To count from 1 to 13,888,320 would take you about thirty-four weeks!
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 13888320 cubic inches would be around 20 feet tall.
Recreational maths with 13888320
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"Number 13888320 - Facts about the integer". Numbermatics.com. 2023. Web. 11 December 2023.
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Numbermatics. (2023). Number 13888320 - Facts about the integer. Retrieved 11 December 2023, from https://numbermatics.com/n/13888320/
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The information we have on file for 13888320 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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