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131415675169 = 157223092
BaseRepresentation
bin111101001100011111…
…1000001000100100001
3110120012120202222212111
41322120333001010201
54123114403101134
6140212125555321
712331413544132
oct1723077010441
9416176688774
10131415675169
11508077a4909
1221576a15b41
13c51428104c
1465094dbc89
1536422a2c64
hex1e98fc1121

131415675169 has 9 divisors (see below), whose sum is σ = 132315353337. Its totient is φ = 130522080624.

The previous prime is 131415675163. The next prime is 131415675197. The reversal of 131415675169 is 961576514131.

The square root of 131415675169 is 362513.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3045384225 + 128370290944 = 55185^2 + 358288^2 .

It is a de Polignac number, because none of the positive numbers 2k-131415675169 is a prime.

It is a super-2 number, since 2×1314156751692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131415675163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56913387 + ... + 56915695.

Almost surely, 2131415675169 is an apocalyptic number.

131415675169 is the 362513-rd square number.

131415675169 is the 181257-th centered octagonal number.

It is an amenable number.

131415675169 is a deficient number, since it is larger than the sum of its proper divisors (899678168).

131415675169 is an frugal number, since it uses more digits than its factorization.

131415675169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 2466 counting only the distinct ones).

The product of its digits is 680400, while the sum is 49.

Multiplying 131415675169 by its sum of digits (49), we get a square (6439368083281 = 25375912).

The spelling of 131415675169 in words is "one hundred thirty-one billion, four hundred fifteen million, six hundred seventy-five thousand, one hundred sixty-nine".

Divisors: 1 157 2309 24649 362513 5331481 56914541 837042517 131415675169