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23010144120024 = 233958756005001
BaseRepresentation
bin1010011101101011101110…
…11101110110110011011000
310000110202012111200110201220
411032311313131312303120
511003444233343320044
6120534414141212040
74563266551620645
oct516656735666330
9100422174613656
1023010144120024
117371602534286
1226b762a861020
13cabb02621809
145979a84b0dcc
1529d82ee55019
hex14ed77776cd8

23010144120024 has 16 divisors (see below), whose sum is σ = 57525360300120. Its totient is φ = 7670048040000.

The previous prime is 23010144120023. The next prime is 23010144120053. The reversal of 23010144120024 is 42002144101032.

It is a super-2 number, since 2×230101441200242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 958756005001 = 23010144120024 / (2 + 3 + 0 + 1 + 0 + 1 + 4 + 4 + 1 + 2 + 0 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 23010144119976 and 23010144120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23010144120023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 479378002477 + ... + 479378002524.

Almost surely, 223010144120024 is an apocalyptic number.

23010144120024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23010144120024 is an abundant number, since it is smaller than the sum of its proper divisors (34515216180096).

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

23010144120024 is a wasteful number, since it uses less digits than its factorization.

23010144120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958756005010 (or 958756005006 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 23010144120024 its reverse (42002144101032), we get a palindrome (65012288221056).

The spelling of 23010144120024 in words is "twenty-three trillion, ten billion, one hundred forty-four million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 958756005001 1917512010002 2876268015003 3835024020004 5752536030006 7670048040008 11505072060012 23010144120024