13679906400
13,679,906,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13679906400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
13679906400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13679906400:
25 × 33 × 52 × 37 × 17117
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 37 × 17117)See below for interesting mathematical facts about the number 13679906400 from the Numbermatics database.
Names of 13679906400
- Cardinal: 13679906400 can be written as Thirteen billion, six hundred seventy-nine million, nine hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.36799064 × 1010
Factors of 13679906400
Divisors of 13679906400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 37 40 45 48 50 54 60 72 74 75 80 90 96 100 108 111 120 135 144 148 150 160 180 185 200 216 222 225 240 270 288 296 300 333 360 370 400 432 444 450 480 540 555 592 600 666 675 720 740 800 864 888 900 925 999 1080 1110 1184 1200 1332 1350 1440 1480 1665 1776 1800 1850 1998 2160 2220 2400 2664 2700 2775 2960 3330 3552 3600 3700 3996 4320 4440 4995 5328 5400 5550 5920 6660 7200 7400 7992 8325 8880 9990 10656 10800 11100 13320 14800 15984 16650 17117 17760 19980 21600 22200 24975 26640 29600 31968 33300 34234 39960 44400 49950 51351 53280 66600 68468 79920 85585 88800 99900 102702 133200 136936 154053 159840 171170 199800 205404 256755 266400 273872 308106 342340 399600 410808 427925 462159 513510 547744 616212 633329 684680 770265 799200 821616 855850 924318 1027020 1232424 1266658 1283775 1369360 1540530 1643232 1711700 1848636 1899987 2054040 2310795 2464848 2533316 2567550 2738720 3081060 3166645 3423400 3697272 3799974 3851325 4108080 4621590 4929696 5066632 5135100 5699961 6162120 6333290 6846800 7394544 7599948 7702650 8216160 9243180 9499935 10133264 10270200 11399922 11553975 12324240 12666580 13693600 14789088 15199896 15405300 15833225 17099883 18486360 18999870 20266528 20540400 22799844 23107950 24648480 25333160 28499805 30399792 30810600 31666450 34199766 36972720 37999740 41080800 45599688 46215900 47499675 50666320 56999610 60799584 61621200 63332900 68399532 73945440 75999480 85499415 91199376 92431800 94999350 101332640 113999220 123242400 126665800 136799064 142499025 151998960 170998830 182398752 184863600 189998700 227998440 253331600 273598128 284998050 303997920 341997660 369727200 379997400 427497075 455996880 506663200 547196256 569996100 683995320 759994800 854994150 911993760 1139992200 1367990640 1519989600 1709988300 2279984400 2735981280 3419976600 4559968800 6839953200 13679906400
- Sum of all divisors σ(n): 50815810080
- Sum of proper divisors (its aliquot sum) s(n): 37135903680
- 13679906400 is an abundant number, because the sum of its proper divisors (37135903680) is greater than itself. Its abundance is 23455997280
Bases of 13679906400
- Binary: 11001011110110001011001110011000002
- Hexadecimal: 0x32F62CE60
- Base-36: 6A8NVC0
Squares and roots of 13679906400
- 13679906400 squared (136799064002) is 187139839112760960000
- 13679906400 cubed (136799064003) is 2560055482773628978374144000000
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The
square root of 13679906400 is 116961.1320054659 -
The
cube root of 13679906400 is 2391.6321082363
Scales and comparisons
How big is 13679906400?- 13,679,906,400 seconds is equal to 434 years, 50 weeks, 6 days, 6 hours.
-
To count from 1 to 13,679,906,400 would take you about eight hundred sixty-nine 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 13679906400 cubic inches would be around 199.3 feet tall.
Recreational maths with 13679906400
- 13679906400 backwards is 00460997631
- 13679906400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13679906400's digits is 45
- More coming soon!
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