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123423141324321 = 3237370640064037
BaseRepresentation
bin11100000100000010110000…
…011111101110011000100001
3121012000010200221002202111100
4130010002300133232120201
5112134131043134334241
61114255450335305013
734666012333306146
oct3404026037563041
9535003627082440
10123423141324321
1136365507708803
1211a1429437b169
1353b39a1a09107
1422699d76c43cd
15e407bc1bb9b6
hex7040b07ee621

123423141324321 has 12 divisors (see below), whose sum is σ = 183096191634772. Its totient is φ = 80058253831776.

The previous prime is 123423141324319. The next prime is 123423141324367.

123423141324321 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 2 + 3 + 1 + 4 + 1 + 324 + 321 = 666.

123423141324321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 49678603373025 + 73744537951296 = 7048305^2 + 8587464^2 .

It is not a de Polignac number, because 123423141324321 - 21 = 123423141324319 is a prime.

It is a super-2 number, since 2×1234231413243212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123423141324391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185320031686 + ... + 185320032351.

Almost surely, 2123423141324321 is an apocalyptic number.

It is an amenable number.

123423141324321 is a deficient number, since it is larger than the sum of its proper divisors (59673050310451).

123423141324321 is a wasteful number, since it uses less digits than its factorization.

123423141324321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370640064080 (or 370640064077 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 123423141324321 in words is "one hundred twenty-three trillion, four hundred twenty-three billion, one hundred forty-one million, three hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 37 111 333 370640064037 1111920192111 3335760576333 13713682369369 41141047108107 123423141324321