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134436141634431 = 37133713309191331
BaseRepresentation
bin11110100100010011011010…
…011101111001001101111111
3122121222222011212010121122210
4132210103122131321031333
5120110100204224300211
61153531035540511503
740213455625351320
oct3644233235711577
9577888155117583
10134436141634431
113992105823405a
12130b275b9ab593
135a023735b0050
14252aa5b666447
151081ed4d399a6
hex7a44da77937f

134436141634431 has 32 divisors (see below), whose sum is σ = 226575673235968. Its totient is φ = 68994847854720.

The previous prime is 134436141634423. The next prime is 134436141634441.

It is a happy number.

134436141634431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134436141634431 - 23 = 134436141634423 is a prime.

It is a super-2 number, since 2×1344361416344312 (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 (134436141634441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6654585565 + ... + 6654605766.

It is an arithmetic number, because the mean of its divisors is an integer number (7080489788624).

Almost surely, 2134436141634431 is an apocalyptic number.

134436141634431 is a deficient number, since it is larger than the sum of its proper divisors (92139531601537).

134436141634431 is a wasteful number, since it uses less digits than its factorization.

134436141634431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13309191391.

The product of its digits is 2985984, while the sum is 48.

The spelling of 134436141634431 in words is "one hundred thirty-four trillion, four hundred thirty-six billion, one hundred forty-one million, six hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 13309191331 39927573993 93164339317 173019487303 279493017951 492440079247 519058461909 1211136411121 1477320237741 3447080554729 3633409233363 6401721030211 10341241664187 19205163090633 44812047211477 134436141634431