Base | Representation |
---|---|
bin | 110101100010100001… |
… | …1111111001100100000 |
3 | 101222202211022201212020 |
4 | 1223011003333030200 |
5 | 3340432134302103 |
6 | 124452515501440 |
7 | 11210123660205 |
oct | 1530503771440 |
9 | 358684281766 |
10 | 114975306528 |
11 | 44840621595 |
12 | 1a348bb7880 |
13 | aac41c0c74 |
14 | 57c9c97cac |
15 | 2ecdcc2753 |
hex | 1ac50ff320 |
114975306528 has 96 divisors (see below), whose sum is σ = 304162709760. Its totient is φ = 38027335680.
The previous prime is 114975306503. The next prime is 114975306569. The reversal of 114975306528 is 825603579411.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1149753065282 (a number of 23 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7933593 + ... + 7948071.
It is an arithmetic number, because the mean of its divisors is an integer number (3168361560).
It is a 1-persistent number, because it is pandigital, but 2⋅114975306528 = 229950613056 is not.
Almost surely, 2114975306528 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 114975306528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152081354880).
114975306528 is an abundant number, since it is smaller than the sum of its proper divisors (189187403232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114975306528 is a wasteful number, since it uses less digits than its factorization.
114975306528 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15130 (or 15122 counting only the distinct ones).
The product of its (nonzero) digits is 1814400, while the sum is 51.
The spelling of 114975306528 in words is "one hundred fourteen billion, nine hundred seventy-five million, three hundred six thousand, five hundred twenty-eight".
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