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134363545363431 = 3379127496005941
BaseRepresentation
bin11110100011001111110011…
…011001000110001111100111
3122121202000210111102221112000
4132203033303121012033213
5120102403020103112211
61153433432142500343
740205305624261416
oct3643176331061747
9577660714387460
10134363545363431
11398a329456417a
12130a067b5946b3
1359c85742c9b87
142527331cdd47d
151080186833656
hex7a33f36463e7

134363545363431 has 32 divisors (see below), whose sum is σ = 203164033843200. Its totient is φ = 87745434809760.

The previous prime is 134363545363409. The next prime is 134363545363457.

It is a happy number.

134363545363431 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 6 + 3 + 545 + 3 + 63 + 4 + 31 = 666.

134363545363431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134363545363431 - 29 = 134363545362919 is a prime.

It is a super-2 number, since 2×1343635453634312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134363545361431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247732080 + ... + 248273861.

It is an arithmetic number, because the mean of its divisors is an integer number (6348876057600).

Almost surely, 2134363545363431 is an apocalyptic number.

134363545363431 is a deficient number, since it is larger than the sum of its proper divisors (68800488479769).

134363545363431 is a wasteful number, since it uses less digits than its factorization.

134363545363431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496006156 (or 496006150 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 134363545363431 in words is "one hundred thirty-four trillion, three hundred sixty-three billion, five hundred forty-five million, three hundred sixty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 79 127 237 381 711 1143 2133 3429 10033 30099 90297 270891 496005941 1488017823 4464053469 13392160407 39184469339 62992754507 117553408017 188978263521 352660224051 566934790563 1057980672153 1700804371689 4976427606053 14929282818159 44787848454477 134363545363431