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23454004240 = 245293175053
BaseRepresentation
bin10101110101111101…
…111011010000010000
32020112112211212022201
4111311331323100100
5341013211113430
614435152412544
71460132514052
oct256575732020
966475755281
1023454004240
119a461a0587
124666847154
13229a15b624
1411c6d0d8d2
159240de8ca
hex575f7b410

23454004240 has 20 divisors (see below), whose sum is σ = 54530560044. Its totient is φ = 9381601664.

The previous prime is 23454004183. The next prime is 23454004279. The reversal of 23454004240 is 4240045432.

It can be written as a sum of positive squares in 2 ways, for example, as 5260310784 + 18193693456 = 72528^2 + 134884^2 .

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 = 23454004199 and 23454004208.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 146587447 + ... + 146587606.

Almost surely, 223454004240 is an apocalyptic number.

23454004240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23454004240 is an abundant number, since it is smaller than the sum of its proper divisors (31076555804).

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

23454004240 is a wasteful number, since it uses less digits than its factorization.

23454004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293175066 (or 293175060 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 23454004240 its reverse (4240045432), we get a palindrome (27694049672).

The spelling of 23454004240 in words is "twenty-three billion, four hundred fifty-four million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 293175053 586350106 1172700212 1465875265 2345400424 2931750530 4690800848 5863501060 11727002120 23454004240