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40344054120 = 23325294194253
BaseRepresentation
bin100101100100101100…
…010110100101101000
310212010122110022000200
4211210230112211220
51130111034212440
630311145032200
72625522542016
oct454454264550
9125118408020
1040344054120
1116123191a97
12799b185660
133a5c436296
141d4a16b8b6
1510b1ce8c30
hex964b16968

40344054120 has 192 divisors, whose sum is σ = 138949246800. Its totient is φ = 10133975040.

The previous prime is 40344054089. The next prime is 40344054137. The reversal of 40344054120 is 2145044304.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22000602276 + 18343451844 = 148326^2 + 135438^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380914 + ... + 475166.

Almost surely, 240344054120 is an apocalyptic number.

40344054120 is a gapful number since it is divisible by the number (40) 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 40344054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69474623400).

40344054120 is an abundant number, since it is smaller than the sum of its proper divisors (98605192680).

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

40344054120 is a wasteful number, since it uses less digits than its factorization.

40344054120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94340 (or 94333 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40344054120 its reverse (2145044304), we get a palindrome (42489098424).

The spelling of 40344054120 in words is "forty billion, three hundred forty-four million, fifty-four thousand, one hundred twenty".