Search a number
-
+
131440407300 = 223252146044897
BaseRepresentation
bin111101001101001110…
…1010111001100000100
3110120021022022111222100
41322122131113030010
54123142221013200
6140214412032100
712332134012356
oct1723235271404
9416238274870
10131440407300
115081a757494
1221583162630
13c519430347
14650c8d90d6
15364453ad00
hex1e9a757304

131440407300 has 54 divisors (see below), whose sum is σ = 411992657258. Its totient is φ = 35050775040.

The previous prime is 131440407281. The next prime is 131440407349. The reversal of 131440407300 is 3704044131.

131440407300 is a `hidden beast` number, since 1 + 314 + 4 + 0 + 40 + 7 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14423049216 + 117017358084 = 120096^2 + 342078^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73021549 + ... + 73023348.

Almost surely, 2131440407300 is an apocalyptic number.

131440407300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131440407300 is an abundant number, since it is smaller than the sum of its proper divisors (280552249958).

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

131440407300 is a wasteful number, since it uses less digits than its factorization.

131440407300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146044917 (or 146044907 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 131440407300 in words is "one hundred thirty-one billion, four hundred forty million, four hundred seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 146044897 292089794 438134691 584179588 730224485 876269382 1314404073 1460448970 1752538764 2190673455 2628808146 2920897940 3651122425 4381346910 5257616292 6572020365 7302244850 8762693820 10953367275 13144040730 14604489700 21906734550 26288081460 32860101825 43813469100 65720203650 131440407300