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23141200032 = 253280351389
BaseRepresentation
bin10101100011010100…
…101011000010100000
32012201202020202121200
4111203110223002200
5334343121400112
614344140121200
71446313645326
oct254324530240
965652222550
1023141200032
1198a5671105
124599b36200
13224a3c9792
141197565d16
15906901cdc
hex56352b0a0

23141200032 has 36 divisors (see below), whose sum is σ = 65807788410. Its totient is φ = 7713733248.

The previous prime is 23141200007. The next prime is 23141200067. The reversal of 23141200032 is 23000214132.

It can be written as a sum of positive squares in only one way, i.e., 12409068816 + 10732131216 = 111396^2 + 103596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23141199978 and 23141200014.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40175407 + ... + 40175982.

Almost surely, 223141200032 is an apocalyptic number.

It is an amenable number.

23141200032 is an abundant number, since it is smaller than the sum of its proper divisors (42666588378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23141200032 is a wasteful number, since it uses less digits than its factorization.

23141200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80351405 (or 80351394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23141200032 its reverse (23000214132), we get a palindrome (46141414164).

The spelling of 23141200032 in words is "twenty-three billion, one hundred forty-one million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 80351389 160702778 241054167 321405556 482108334 642811112 723162501 964216668 1285622224 1446325002 1928433336 2571244448 2892650004 3856866672 5785300008 7713733344 11570600016 23141200032