Base | Representation |
---|---|
bin | 10010110101101100… |
… | …11000011110000000 |
3 | 222002212112112210222 |
4 | 21122312120132000 |
5 | 131203204440112 |
6 | 4351341042212 |
7 | 505431525503 |
oct | 113266303600 |
9 | 28085475728 |
10 | 10114140032 |
11 | 4320194117 |
12 | 1b63256368 |
13 | c52542059 |
14 | 6bd39513a |
15 | 3e2e07372 |
hex | 25ad98780 |
10114140032 has 64 divisors (see below), whose sum is σ = 20878074000. Its totient is φ = 4876591104.
The previous prime is 10114140007. The next prime is 10114140119. The reversal of 10114140032 is 23004141101.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×101141400322 (a number of 21 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 7 ways as a sum of consecutive naturals, for example, 525719 + ... + 544617.
Almost surely, 210114140032 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 10114140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439037000).
10114140032 is an abundant number, since it is smaller than the sum of its proper divisors (10763933968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10114140032 is a wasteful number, since it uses less digits than its factorization.
10114140032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19063 (or 19051 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 17.
Adding to 10114140032 its reverse (23004141101), we get a palindrome (33118281133).
The spelling of 10114140032 in words is "ten billion, one hundred fourteen million, one hundred forty thousand, thirty-two".
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