Search a number
-
+
131445407574 = 232131929564869
BaseRepresentation
bin111101001101011000…
…0011011111101010110
3110120021122201120001200
41322122300123331112
54123200011020244
6140215111133330
712332224346415
oct1723260337526
9416248646050
10131445407574
1150822562248
1221584974246
13c51a4912a0
14650d43b47c
153644bc7669
hex1e9ac1bf56

131445407574 has 48 divisors (see below), whose sum is σ = 322848380400. Its totient is φ = 38316068928.

The previous prime is 131445407573. The next prime is 131445407623. The reversal of 131445407574 is 475704544131.

131445407574 is a `hidden beast` number, since 1 + 31 + 4 + 4 + 5 + 40 + 7 + 574 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131445407573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14777989 + ... + 14786880.

It is an arithmetic number, because the mean of its divisors is an integer number (6726007925).

Almost surely, 2131445407574 is an apocalyptic number.

131445407574 is an abundant number, since it is smaller than the sum of its proper divisors (191402972826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131445407574 is a wasteful number, since it uses less digits than its factorization.

131445407574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29564909 (or 29564906 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 131445407574 in words is "one hundred thirty-one billion, four hundred forty-five million, four hundred seven thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 29564869 59129738 88694607 177389214 266083821 384343297 532167642 561732511 768686594 1123465022 1153029891 1685197533 2306059782 3370395066 3459089673 5055592599 6918179346 7302522643 10111185198 14605045286 21907567929 43815135858 65722703787 131445407574