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23314031233040 = 245291425390413
BaseRepresentation
bin1010100110100001110001…
…00011001100100000010000
310001112210120220220022002202
411103100320203030200100
511023434113443424130
6121330152412502332
74624245266512322
oct523207043144020
9101483526808082
1023314031233040
117479474921079
1227464b9a7a9a8
1310016718686a2
145a859597d612
152a66b89db145
hex1534388cc810

23314031233040 has 20 divisors (see below), whose sum is σ = 54205122617004. Its totient is φ = 9325612493184.

The previous prime is 23314031233001. The next prime is 23314031233049. The reversal of 23314031233040 is 4033213041332.

It can be written as a sum of positive squares in 2 ways, for example, as 17785720505344 + 5528310727696 = 4217312^2 + 2351236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 23314031232994 and 23314031233012.

It is not an unprimeable number, because it can be changed into a prime (23314031233049) 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, 145712695127 + ... + 145712695286.

Almost surely, 223314031233040 is an apocalyptic number.

23314031233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23314031233040 is an abundant number, since it is smaller than the sum of its proper divisors (30891091383964).

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

23314031233040 is a wasteful number, since it uses less digits than its factorization.

23314031233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291425390426 (or 291425390420 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 23314031233040 its reverse (4033213041332), we get a palindrome (27347244274372).

The spelling of 23314031233040 in words is "twenty-three trillion, three hundred fourteen billion, thirty-one million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 291425390413 582850780826 1165701561652 1457126952065 2331403123304 2914253904130 4662806246608 5828507808260 11657015616520 23314031233040