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131446128025 = 5259212292
BaseRepresentation
bin111101001101011001…
…1001011110110011001
3110120021201002011100001
41322122303023312121
54123200202044100
6140215134413001
712332233440022
oct1723263136631
9416251064301
10131446128025
1150822a04563
1221585061161
13c51a6841a4
14650d587c49
153644cbad6a
hex1e9accbd99

131446128025 has 27 divisors (see below), whose sum is σ = 165937637341. Its totient is φ = 103290469280.

The previous prime is 131446128013. The next prime is 131446128029. The reversal of 131446128025 is 520821644131.

The square root of 131446128025 is 362555.

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 33517187929 + 97928940096 = 183077^2 + 312936^2 .

It is not a de Polignac number, because 131446128025 - 217 = 131445996953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131446128029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106953111 + ... + 106954339.

Almost surely, 2131446128025 is an apocalyptic number.

131446128025 is the 362555-th square number.

131446128025 is the 181278-th centered octagonal number.

It is an amenable number.

131446128025 is a deficient number, since it is larger than the sum of its proper divisors (34491509316).

131446128025 is an frugal number, since it uses more digits than its factorization.

131446128025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 131446128025 in words is "one hundred thirty-one billion, four hundred forty-six million, one hundred twenty-eight thousand, twenty-five".

Divisors: 1 5 25 59 295 1229 1475 3481 6145 17405 30725 72511 87025 362555 1510441 1812775 4278149 7552205 21390745 37761025 89116019 106953725 445580095 2227900475 5257845121 26289225605 131446128025