Base | Representation |
---|---|
bin | 110101010100111001… |
… | …0011010011000000000 |
3 | 101221120221021122111211 |
4 | 1222221302122120000 |
5 | 3334013013330212 |
6 | 124335252015504 |
7 | 11162566340362 |
oct | 1525162323000 |
9 | 357527248454 |
10 | 114517714432 |
11 | 4462629a900 |
12 | 1a23b901594 |
13 | aa50466704 |
14 | 57851c0d32 |
15 | 2ea3a349a7 |
hex | 1aa9c9a600 |
114517714432 has 240 divisors, whose sum is σ = 266457945600. Its totient is φ = 48995020800.
The previous prime is 114517714393. The next prime is 114517714447. The reversal of 114517714432 is 234417715411.
It is a happy number.
It is a super-2 number, since 2×1145177144322 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318990669 + ... + 318991027.
It is an arithmetic number, because the mean of its divisors is an integer number (1110241440).
Almost surely, 2114517714432 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 114517714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133228972800).
114517714432 is an abundant number, since it is smaller than the sum of its proper divisors (151940231168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114517714432 is a wasteful number, since it uses less digits than its factorization.
114517714432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 689 (or 662 counting only the distinct ones).
The product of its digits is 94080, while the sum is 40.
The spelling of 114517714432 in words is "one hundred fourteen billion, five hundred seventeen million, seven hundred fourteen thousand, four hundred thirty-two".
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