Search a number
-
+
32380731441 = 3253103165843
BaseRepresentation
bin11110001010000010…
…101100000000110001
310002120200001120221200
4132022002230000301
51012303431401231
622513035241413
72224265450562
oct361202540061
9102520046850
1032380731441
1112807095883
1263382a9269
133090695526
1417d26d0169
15c97b45be6
hex78a0ac031

32380731441 has 24 divisors (see below), whose sum is σ = 47701607616. Its totient is φ = 21158985120.

The previous prime is 32380731431. The next prime is 32380731457. The reversal of 32380731441 is 14413708323.

It is not a de Polignac number, because 32380731441 - 29 = 32380730929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32380731396 and 32380731405.

It is not an unprimeable number, because it can be changed into a prime (32380731431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458866 + ... + 524708.

It is an arithmetic number, because the mean of its divisors is an integer number (1987566984).

Almost surely, 232380731441 is an apocalyptic number.

It is an amenable number.

32380731441 is a deficient number, since it is larger than the sum of its proper divisors (15320876175).

32380731441 is a wasteful number, since it uses less digits than its factorization.

32380731441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66933 (or 66930 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 32380731441 in words is "thirty-two billion, three hundred eighty million, seven hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 9 53 159 477 1031 3093 9279 54643 65843 163929 197529 491787 592587 3489679 10469037 31407111 67884133 203652399 610957197 3597859049 10793577147 32380731441