Base | Representation |
---|---|
bin | 1010011110000110000110… |
… | …01111100011101100010000 |
3 | 10000112002202002010001121201 |
4 | 11033003003033203230100 |
5 | 11004212231341421112 |
6 | 120545114554200544 |
7 | 4564310424542143 |
oct | 517030317435420 |
9 | 100462662101551 |
10 | 23024300342032 |
11 | 7377607334410 |
12 | 26ba31b723154 |
13 | cb024a3ca642 |
14 | 59854c61205a |
15 | 29ddacb46257 |
hex | 14f0c33e3b10 |
23024300342032 has 80 divisors (see below), whose sum is σ = 50246677292544. Its totient is φ = 10125604224000.
The previous prime is 23024300341993. The next prime is 23024300342033.
23024300342032 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×230243003420323 (a number of 41 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (23024300342033) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22752828 + ... + 23743204.
Almost surely, 223024300342032 is an apocalyptic number.
23024300342032 is a gapful number since it is divisible by the number (22) 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 23024300342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123338646272).
23024300342032 is an abundant number, since it is smaller than the sum of its proper divisors (27222376950512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23024300342032 is a wasteful number, since it uses less digits than its factorization.
23024300342032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 994688 (or 994682 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 28.
It can be divided in two parts, 23024300 and 342032, that added together give a palindrome (23366332).
The spelling of 23024300342032 in words is "twenty-three trillion, twenty-four billion, three hundred million, three hundred forty-two thousand, thirty-two".
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