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23145032140 = 2253155767021
BaseRepresentation
bin10101100011100011…
…010010100111001100
32012202000110110021121
4111203203102213030
5334400112012030
614344354210324
71446361345546
oct254343224714
965660413247
1023145032140
1198a784923a
12459b2839a4
13224b13bab9
141197c82696
15906e0c47a
hex5638d29cc

23145032140 has 48 divisors (see below), whose sum is σ = 50263282944. Its totient is φ = 8943148800.

The previous prime is 23145032137. The next prime is 23145032231. The reversal of 23145032140 is 4123054132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311830 + ... + 378850.

It is an arithmetic number, because the mean of its divisors is an integer number (1047151728).

Almost surely, 223145032140 is an apocalyptic number.

23145032140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23145032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25131641472).

23145032140 is an abundant number, since it is smaller than the sum of its proper divisors (27118250804).

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

23145032140 is a wasteful number, since it uses less digits than its factorization.

23145032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67618 (or 67616 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 23145032140 its reverse (4123054132), we get a palindrome (27268086272).

The spelling of 23145032140 in words is "twenty-three billion, one hundred forty-five million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 557 620 1114 2228 2785 5570 11140 17267 34534 67021 69068 86335 134042 172670 268084 335105 345340 670210 1340420 2077651 4155302 8310604 10388255 20776510 37330697 41553020 74661394 149322788 186653485 373306970 746613940 1157251607 2314503214 4629006428 5786258035 11572516070 23145032140