Base | Representation |
---|---|
bin | 111110101011110010… |
… | …0111100001000000000 |
3 | 110212110102122112021000 |
4 | 1331113210330020000 |
5 | 4201142000144144 |
6 | 141501313532000 |
7 | 12503562030630 |
oct | 1752744741000 |
9 | 425412575230 |
10 | 134613287424 |
11 | 520a8767270 |
12 | 22109874000 |
13 | c903894ac5 |
14 | 67300646c0 |
15 | 377cd7d769 |
hex | 1f5793c200 |
134613287424 has 1280 divisors, whose sum is σ = 541353922560. Its totient is φ = 31956664320.
The previous prime is 134613287399. The next prime is 134613287443. The reversal of 134613287424 is 424782316431.
134613287424 is a `hidden beast` number, since 1 + 3 + 4 + 613 + 2 + 8 + 7 + 4 + 24 = 666.
It is a super-4 number, since 4×1346132874244 (a number of 46 digits) contains 4444 as substring.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (774144) is a multiple of the sum of its prime divisors (256).
It is a self number, because there is not a number n which added to its sum of digits gives 134613287424.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 778111402 + ... + 778111574.
It is an arithmetic number, because the mean of its divisors is an integer number (422932752).
Almost surely, 2134613287424 is an apocalyptic number.
134613287424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 134613287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270676961280).
134613287424 is an abundant number, since it is smaller than the sum of its proper divisors (406740635136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134613287424 is a wasteful number, since it uses less digits than its factorization.
134613287424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 278 (or 256 counting only the distinct ones).
The product of its digits is 774144, while the sum is 45.
The spelling of 134613287424 in words is "one hundred thirty-four billion, six hundred thirteen million, two hundred eighty-seven thousand, four hundred twenty-four".
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