Search a number
-
+
32014014431 = 779191303097
BaseRepresentation
bin11101110100001011…
…110001011111011111
310001122010000102210012
4131310023301133133
51011031041430211
622412415233435
72212223430020
oct356413613737
9101563012705
1032014014431
1112639092973
12625551887b
133032708309
141799b10c47
15c75858d8b
hex7742f17df

32014014431 has 16 divisors (see below), whose sum is σ = 37244682240. Its totient is φ = 26951296320.

The previous prime is 32014014419. The next prime is 32014014443. The reversal of 32014014431 is 13441041023.

It is an interprime number because it is at equal distance from previous prime (32014014419) and next prime (32014014443).

It is a cyclic number.

It is not a de Polignac number, because 32014014431 - 210 = 32014013407 is a prime.

It is a super-2 number, since 2×320140144312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32014014397 and 32014014406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32014014481) 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 15 ways as a sum of consecutive naturals, for example, 45926 + ... + 257171.

It is an arithmetic number, because the mean of its divisors is an integer number (2327792640).

Almost surely, 232014014431 is an apocalyptic number.

32014014431 is a deficient number, since it is larger than the sum of its proper divisors (5230667809).

32014014431 is a wasteful number, since it uses less digits than its factorization.

32014014431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303374.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 32014014431 its reverse (13441041023), we get a palindrome (45455055454).

The spelling of 32014014431 in words is "thirty-two billion, fourteen million, fourteen thousand, four hundred thirty-one".

Divisors: 1 7 79 191 553 1337 15089 105623 303097 2121679 23944663 57891527 167612641 405240689 4573430633 32014014431