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32140440431 = 11173152310601
BaseRepresentation
bin11101111011101110…
…000011001101101111
310001221220220112122122
4131323232003031233
51011310423043211
622433133103155
72215320143651
oct357356031557
9101856815578
1032140440431
11126a3493670
12628b927abb
1330529720b8
1417ac8206d1
15c819cd6db
hex77bb8336f

32140440431 has 32 divisors (see below), whose sum is σ = 38399256576. Its totient is φ = 26559360000.

The previous prime is 32140440403. The next prime is 32140440439. The reversal of 32140440431 is 13404404123.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32140440431 is a prime.

It is a super-2 number, since 2×321404404312 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32140440431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32140440439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3026531 + ... + 3037131.

It is an arithmetic number, because the mean of its divisors is an integer number (1199976768).

Almost surely, 232140440431 is an apocalyptic number.

32140440431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

32140440431 is a deficient number, since it is larger than the sum of its proper divisors (6258816145).

32140440431 is a wasteful number, since it uses less digits than its factorization.

32140440431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11183.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 32140440431 its reverse (13404404123), we get a palindrome (45544844554).

The spelling of 32140440431 in words is "thirty-two billion, one hundred forty million, four hundred forty thousand, four hundred thirty-one".

Divisors: 1 11 17 31 187 341 523 527 5753 5797 8891 10601 16213 97801 116611 178343 180217 275621 328631 1982387 3031831 3614941 5544323 5586727 60987553 61453997 94253491 171874013 1036788401 1890614143 2921858221 32140440431