Search a number
-
+
10444396131 = 3213172308887
BaseRepresentation
bin10011011101000100…
…01101011001100011
3222221212222022000100
421232202031121203
5132342231134011
64444215353443
7516551621331
oct115642153143
928855868010
1010444396131
11447a653444
122035982883
13ca5aa4570
147111a2b51
15411de0d56
hex26e88d663

10444396131 has 36 divisors (see below), whose sum is σ = 17258808112. Its totient is φ = 6049223424.

The previous prime is 10444396073. The next prime is 10444396169. The reversal of 10444396131 is 13169344401.

10444396131 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 39 + 613 + 1 = 666.

10444396131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10444396131 - 27 = 10444396003 is a prime.

It is a super-2 number, since 2×104443961312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10444396331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120631 + ... + 188256.

Almost surely, 210444396131 is an apocalyptic number.

10444396131 is a deficient number, since it is larger than the sum of its proper divisors (6814411981).

10444396131 is a wasteful number, since it uses less digits than its factorization.

10444396131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308940 (or 308920 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10444396131 in words is "ten billion, four hundred forty-four million, three hundred ninety-six thousand, one hundred thirty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 289 663 867 1989 2601 3757 11271 33813 308887 926661 2779983 4015531 5251079 12046593 15753237 36139779 47259711 68264027 89268343 204792081 267805029 614376243 803415087 1160488459 3481465377 10444396131