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23040000009 = 3213215147929
BaseRepresentation
bin10101011101010010…
…101000000000001001
32012110200211021021200
4111131102220000021
5334141220000014
614330123054413
71443644524455
oct253522500011
965420737250
1023040000009
119853530024
124570071409
132232455a00
141187d41665
158ecab1a09
hex55d4a8009

23040000009 has 18 divisors (see below), whose sum is σ = 36036925470. Its totient is φ = 14178460608.

The previous prime is 23039999933. The next prime is 23040000029. The reversal of 23040000009 is 90000004032.

It can be written as a sum of positive squares in 3 ways, for example, as 10419984 + 23029580025 = 3228^2 + 151755^2 .

It is not a de Polignac number, because 23040000009 - 28 = 23039999753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23039999946 and 23040000000.

It is not an unprimeable number, because it can be changed into a prime (23040000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7572444 + ... + 7575485.

It is an arithmetic number, because the mean of its divisors is an integer number (2002051415).

Almost surely, 223040000009 is an apocalyptic number.

It is an amenable number.

23040000009 is a deficient number, since it is larger than the sum of its proper divisors (12996925461).

23040000009 is a wasteful number, since it uses less digits than its factorization.

23040000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15147961 (or 15147945 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

It can be divided in two parts, 2304000000 and 9, that multiplied together give a square (20736000000 = 1440002).

The spelling of 23040000009 in words is "twenty-three billion, forty million, nine", and thus it is an aban number and an uban number.

Divisors: 1 3 9 13 39 117 169 507 1521 15147929 45443787 136331361 196923077 590769231 1772307693 2560000001 7680000003 23040000009