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131240144 = 2471961673
BaseRepresentation
bin1111101001010…
…01000011010000
3100010221200122002
413310221003100
5232044141034
621004533132
73152344220
oct764510320
9303850562
10131240144
1168099732
1237b511a8
13212610b9
1413604080
15b7c5e7e
hex7d290d0

131240144 has 40 divisors (see below), whose sum is σ = 305903040. Its totient is φ = 53284608.

The previous prime is 131240141. The next prime is 131240177. The reversal of 131240144 is 441042131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131240141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28709 + ... + 32964.

It is an arithmetic number, because the mean of its divisors is an integer number (7647576).

Almost surely, 2131240144 is an apocalyptic number.

131240144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131240144 is an abundant number, since it is smaller than the sum of its proper divisors (174662896).

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

131240144 is a wasteful number, since it uses less digits than its factorization.

131240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61707 (or 61701 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 131240144 is about 11456.0090782087. The cubic root of 131240144 is about 508.1854573239.

Adding to 131240144 its reverse (441042131), we get a palindrome (572282275).

The spelling of 131240144 in words is "one hundred thirty-one million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 61673 123346 246692 431711 493384 863422 986768 1171787 1726844 2343574 3453688 4687148 6907376 8202509 9374296 16405018 18748592 32810036 65620072 131240144