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131444232040 = 235111012957791
BaseRepresentation
bin111101001101010101…
…1111100111101101000
3110120021120111211112101
41322122223330331220
54123144210411130
6140215030023144
712332211352252
oct1723253747550
9416246454471
10131444232040
115082192a030
12215844a7ab4
13c51a16c1c4
14650d212cd2
153644a441ca
hex1e9aafcf68

131444232040 has 64 divisors (see below), whose sum is σ = 325830366720. Its totient is φ = 47324640000.

The previous prime is 131444232019. The next prime is 131444232041. The reversal of 131444232040 is 40232444131.

It is a super-2 number, since 2×1314442320402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131444232041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434456 + ... + 1523335.

It is an arithmetic number, because the mean of its divisors is an integer number (5091099480).

Almost surely, 2131444232040 is an apocalyptic number.

131444232040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131444232040 is an abundant number, since it is smaller than the sum of its proper divisors (194386134680).

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

131444232040 is a wasteful number, since it uses less digits than its factorization.

131444232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957914 (or 2957910 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 131444232040 its reverse (40232444131), we get a palindrome (171676676171).

The spelling of 131444232040 in words is "one hundred thirty-one billion, four hundred forty-four million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 2957791 5915582 11831164 14788955 23662328 29577910 32535701 59155820 65071402 118311640 130142804 162678505 260285608 298736891 325357010 597473782 650714020 1194947564 1301428040 1493684455 2389895128 2987368910 3286105801 5974737820 6572211602 11949475640 13144423204 16430529005 26288846408 32861058010 65722116020 131444232040