Search a number
-
+
1357418331 = 34137122323
BaseRepresentation
bin101000011101000…
…1000111101011011
310111121012222220000
41100322020331123
510234444341311
6342410104043
745431602563
oct12072107533
93447188800
101357418331
11637255535
1231a71b023
131882bcb19
14cc3c9da3
157e283056
hex50e88f5b

1357418331 has 20 divisors (see below), whose sum is σ = 2042566152. Its totient is φ = 898332768.

The previous prime is 1357418323. The next prime is 1357418333. The reversal of 1357418331 is 1338147531.

1357418331 is a `hidden beast` number, since 1 + 3 + 574 + 1 + 83 + 3 + 1 = 666.

1357418331 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1357418331 - 23 = 1357418323 is a prime.

It is a super-3 number, since 3×13574183313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1357418333) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50065 + ... + 72258.

Almost surely, 21357418331 is an apocalyptic number.

1357418331 is a deficient number, since it is larger than the sum of its proper divisors (685147821).

1357418331 is a wasteful number, since it uses less digits than its factorization.

1357418331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122472 (or 122463 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1357418331 is about 36843.1585372373. The cubic root of 1357418331 is about 1107.2301502218.

The spelling of 1357418331 in words is "one billion, three hundred fifty-seven million, four hundred eighteen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 137 411 1233 3699 11097 122323 366969 1100907 3302721 9908163 16758251 50274753 150824259 452472777 1357418331