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23315142042 = 2324637279337
BaseRepresentation
bin10101101101101100…
…001101010110011010
32020011212112221012100
4111231230031112122
5340222134021132
614413312224230
71453525303023
oct255554152632
966155487170
1023315142042
119984876335
12462823b076
13227745c14a
1411b26c3c4a
15916d1037c
hex56db0d59a

23315142042 has 24 divisors (see below), whose sum is σ = 50527216116. Its totient is φ = 7770010176.

The previous prime is 23315141947. The next prime is 23315142047. The reversal of 23315142042 is 24024151332.

23315142042 is a `hidden beast` number, since 233 + 1 + 5 + 1 + 420 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22913179641 + 401962401 = 151371^2 + 20049^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23315141997 and 23315142015.

It is not an unprimeable number, because it can be changed into a prime (23315142047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56203 + ... + 223134.

Almost surely, 223315142042 is an apocalyptic number.

23315142042 is an abundant number, since it is smaller than the sum of its proper divisors (27212074074).

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

23315142042 is a wasteful number, since it uses less digits than its factorization.

23315142042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283982 (or 283979 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23315142042 its reverse (24024151332), we get a palindrome (47339293374).

The spelling of 23315142042 in words is "twenty-three billion, three hundred fifteen million, one hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 4637 9274 13911 27822 41733 83466 279337 558674 838011 1676022 2514033 5028066 1295285669 2590571338 3885857007 7771714014 11657571021 23315142042