13582134144
13,582,134,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 13582134144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
13582134144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 13582134144:
27 × 32 × 71 × 211 × 787
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 71 × 211 × 787)See below for interesting mathematical facts about the number 13582134144 from the Numbermatics database.
Names of 13582134144
- Cardinal: 13582134144 can be written as Thirteen billion, five hundred eighty-two million, one hundred thirty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3582134144 × 1010
Factors of 13582134144
Divisors of 13582134144
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 211 213 284 288 384 422 426 568 576 633 639 787 844 852 1136 1152 1266 1278 1574 1688 1704 1899 2272 2361 2532 2556 3148 3376 3408 3798 4544 4722 5064 5112 6296 6752 6816 7083 7596 9088 9444 10128 10224 12592 13504 13632 14166 14981 15192 18888 20256 20448 25184 27008 27264 28332 29962 30384 37776 40512 40896 44943 50368 55877 56664 59924 60768 75552 81024 81792 89886 100736 111754 113328 119848 121536 134829 151104 166057 167631 179772 223508 226656 239696 243072 269658 302208 332114 335262 359544 447016 453312 479392 498171 502893 539316 664228 670524 719088 894032 906624 958784 996342 1005786 1078632 1328456 1341048 1438176 1494513 1788064 1917568 1992684 2011572 2157264 2656912 2682096 2876352 2989026 3576128 3985368 4023144 4314528 5313824 5364192 5752704 5978052 7152256 7970736 8046288 8629056 10627648 10728384 11790047 11956104 15941472 16092576 17258112 21255296 21456768 23580094 23912208 31882944 32185152 35370141 47160188 47824416 63765888 64370304 70740282 94320376 95648832 106110423 141480564 188640752 191297664 212220846 282961128 377281504 424441692 565922256 754563008 848883384 1131844512 1509126016 1697766768 2263689024 3395533536 4527378048 6791067072 13582134144
- Sum of all divisors σ(n): 39872926080
- Sum of proper divisors (its aliquot sum) s(n): 26290791936
- 13582134144 is an abundant number, because the sum of its proper divisors (26290791936) is greater than itself. Its abundance is 12708657792
Bases of 13582134144
- Binary: 11001010011000111011101011100000002
- Hexadecimal: 0x3298EEB80
- Base-36: 68MG9S0
Squares and roots of 13582134144
- 13582134144 squared (135821341442) is 184474367905610612736
- 13582134144 cubed (135821341443) is 2505555611023611672410386857984
-
The
square root of 13582134144 is 116542.4134982625 -
The
cube root of 13582134144 is 2385.9207003945
Scales and comparisons
How big is 13582134144?- 13,582,134,144 seconds is equal to 431 years, 45 weeks, 1 day, 15 hours, 2 minutes, 24 seconds.
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To count from 1 to 13,582,134,144 would take you about eight hundred sixty-three 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 13582134144 cubic inches would be around 198.8 feet tall.
Recreational maths with 13582134144
- 13582134144 backwards is 44143128531
- 13582134144 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13582134144's digits is 36
- More coming soon!
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