Base | Representation |
---|---|
bin | 10110111100001101… |
… | …10110111001000000 |
3 | 1011210100020120001012 |
4 | 23132012312321000 |
5 | 200210431233430 |
6 | 5354044300052 |
7 | 614131414034 |
oct | 133606667100 |
9 | 34710216035 |
10 | 12316274240 |
11 | 5250241146 |
12 | 2478841628 |
13 | 121383cc4a |
14 | 84ba2a1c4 |
15 | 4c13e6695 |
hex | 2de1b6e40 |
12316274240 has 112 divisors (see below), whose sum is σ = 32687971200. Its totient is φ = 4392640512.
The previous prime is 12316274237. The next prime is 12316274251. The reversal of 12316274240 is 4247261321.
12316274240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×123162742402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 12316274197 and 12316274206.
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 15 ways as a sum of consecutive naturals, for example, 43781 + ... + 162939.
Almost surely, 212316274240 is an apocalyptic number.
12316274240 is a gapful number since it is divisible by the number (10) 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 12316274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343985600).
12316274240 is an abundant number, since it is smaller than the sum of its proper divisors (20371696960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12316274240 is a wasteful number, since it uses less digits than its factorization.
12316274240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119212 (or 119202 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 32.
The spelling of 12316274240 in words is "twelve billion, three hundred sixteen million, two hundred seventy-four thousand, two hundred forty".
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