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432402140401 = 71112744217419
BaseRepresentation
bin1100100101011010010…
…11010000110011110001
31112100002211220122111221
412102231023100303301
524041024421443101
6530350502305041
743145220356440
oct6225513206361
91470084818457
10432402140401
11157420810030
126b976728181
1331a1058b39a
1416cdd666d57
15b3ab36caa1
hex64ad2d0cf1

432402140401 has 16 divisors (see below), whose sum is σ = 543343656960. Its totient is φ = 334283680080.

The previous prime is 432402140279. The next prime is 432402140407. The reversal of 432402140401 is 104041204234.

It is not a de Polignac number, because 432402140401 - 29 = 432402139889 is a prime.

It is a super-2 number, since 2×4324021404012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432402140407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22098931 + ... + 22118488.

It is an arithmetic number, because the mean of its divisors is an integer number (33958978560).

Almost surely, 2432402140401 is an apocalyptic number.

It is an amenable number.

432402140401 is a deficient number, since it is larger than the sum of its proper divisors (110941516559).

432402140401 is a wasteful number, since it uses less digits than its factorization.

432402140401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44217564.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 432402140401 its reverse (104041204234), we get a palindrome (536443344635).

The spelling of 432402140401 in words is "four hundred thirty-two billion, four hundred two million, one hundred forty thousand, four hundred one".

Divisors: 1 7 11 77 127 889 1397 9779 44217419 309521933 486391609 3404741263 5615612213 39309285491 61771734343 432402140401