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131440434525 = 32525980912239
BaseRepresentation
bin111101001101001110…
…1011101110101011101
3110120021022100220022200
41322122131131311131
54123142222401100
6140214412402113
712332134154631
oct1723235356535
9416238326280
10131440434525
115081a775994
1221583176339
13c51943c85a
14650c904dc1
153644543e00
hex1e9a75dd5d

131440434525 has 72 divisors (see below), whose sum is σ = 239730192000. Its totient is φ = 68822595840.

The previous prime is 131440434491. The next prime is 131440434529. The reversal of 131440434525 is 525434044131.

131440434525 is a `hidden beast` number, since 131 + 4 + 40 + 434 + 52 + 5 = 666.

It is not a de Polignac number, because 131440434525 - 28 = 131440434269 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131440434525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131440434529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10733356 + ... + 10745594.

It is an arithmetic number, because the mean of its divisors is an integer number (3329586000).

Almost surely, 2131440434525 is an apocalyptic number.

131440434525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131440434525 is a deficient number, since it is larger than the sum of its proper divisors (108289757475).

131440434525 is a wasteful number, since it uses less digits than its factorization.

131440434525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13123 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 131440434525 its reverse (525434044131), we get a palindrome (656874478656).

The spelling of 131440434525 in words is "one hundred thirty-one billion, four hundred forty million, four hundred thirty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 59 75 177 225 295 531 809 885 1475 2427 2655 4045 4425 7281 12135 12239 13275 20225 36405 36717 47731 60675 61195 110151 143193 182025 183585 238655 305975 429579 550755 715965 722101 917925 1193275 2147895 2166303 2753775 3579825 3610505 6498909 9901351 10739475 10831515 18052525 29704053 32494545 49506755 54157575 89112159 148520265 162472725 247533775 445560795 584179709 742601325 1752539127 2227803975 2920898545 5257617381 8762695635 14604492725 26288086905 43813478175 131440434525