Search a number
-
+
1431092265057 = 327213249623629
BaseRepresentation
bin10100110100110011101…
…111110000000001100001
312001210220021120111211100
4110310303233300001201
5141421334104440212
63013233521505013
7205251541355100
oct24646357600141
95053807514740
101431092265057
11501a17303214
121b1431aa2169
13a4c4a372050
144d39db3c037
152735cae2bdc
hex14d33bf0061

1431092265057 has 36 divisors (see below), whose sum is σ = 2589595537620. Its totient is φ = 754861851072.

The previous prime is 1431092264999. The next prime is 1431092265131. The reversal of 1431092265057 is 7505622901341.

1431092265057 is a `hidden beast` number, since 1 + 4 + 31 + 0 + 92 + 26 + 505 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105349579776 + 1325742685281 = 324576^2 + 1151409^2 .

It is not a de Polignac number, because 1431092265057 - 26 = 1431092264993 is a prime.

It is a super-2 number, since 2×14310922650572 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1431092264057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124806082 + ... + 124817547.

Almost surely, 21431092265057 is an apocalyptic number.

It is an amenable number.

1431092265057 is a deficient number, since it is larger than the sum of its proper divisors (1158503272563).

1431092265057 is a wasteful number, since it uses less digits than its factorization.

1431092265057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249623662 (or 249623652 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1431092265057 in words is "one trillion, four hundred thirty-one billion, ninety-two million, two hundred sixty-five thousand, fifty-seven".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 249623629 748870887 1747365403 2246612661 3245107177 5242096209 9735321531 12231557821 15726288627 22715750239 29205964593 36694673463 68147250717 110084020389 159010251673 204441752151 477030755019 1431092265057