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357741214137 = 3253749981581
BaseRepresentation
bin1010011010010110000…
…10011011100110111001
31021012101121012121210200
411031023002123212321
521330123222323022
6432202151432413
734563106101456
oct5151302334671
91235347177720
10357741214137
1112879865308a
12593ba985709
1327972613cc8
1413459a1482d
15948b981bac
hex534b09b9b9

357741214137 has 12 divisors (see below), whose sum is σ = 526487070564. Its totient is φ = 233994252960.

The previous prime is 357741214111. The next prime is 357741214157. The reversal of 357741214137 is 731412147753.

357741214137 is a `hidden beast` number, since 3 + 577 + 4 + 1 + 2 + 1 + 41 + 37 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166348963881 + 191392250256 = 407859^2 + 437484^2 .

It is not a de Polignac number, because 357741214137 - 27 = 357741214009 is a prime.

It is a super-3 number, since 3×3577412141373 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 357741214092 and 357741214101.

It is not an unprimeable number, because it can be changed into a prime (357741214157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374990314 + ... + 374991267.

It is an arithmetic number, because the mean of its divisors is an integer number (43873922547).

Almost surely, 2357741214137 is an apocalyptic number.

It is an amenable number.

357741214137 is a deficient number, since it is larger than the sum of its proper divisors (168745856427).

357741214137 is a wasteful number, since it uses less digits than its factorization.

357741214137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749981640 (or 749981637 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 357741214137 in words is "three hundred fifty-seven billion, seven hundred forty-one million, two hundred fourteen thousand, one hundred thirty-seven".

Divisors: 1 3 9 53 159 477 749981581 2249944743 6749834229 39749023793 119247071379 357741214137