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125435131544431 = 2380924551274583
BaseRepresentation
bin11100100001010100100100…
…011101010100001101101111
3121110010110222222122220022201
4130201110210131110031233
5112420112122133410211
61122440034240322331
735264250331066162
oct3441244435241557
9543113888586281
10125435131544431
1136a70816740405
121209a2039133a7
1354cb63638c687
1422d9142767ad9
15e77cc7b370c1
hex72152475436f

125435131544431 has 16 divisors (see below), whose sum is σ = 131056438993920. Its totient is φ = 119827804465600.

The previous prime is 125435131544417. The next prime is 125435131544449. The reversal of 125435131544431 is 134445131534521.

It is a cyclic number.

It is not a de Polignac number, because 125435131544431 - 29 = 125435131543919 is a prime.

It is a super-2 number, since 2×1254351315444312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125435131524431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456683166 + ... + 456957748.

It is an arithmetic number, because the mean of its divisors is an integer number (8191027437120).

Almost surely, 2125435131544431 is an apocalyptic number.

125435131544431 is a deficient number, since it is larger than the sum of its proper divisors (5621307449489).

125435131544431 is a wasteful number, since it uses less digits than its factorization.

125435131544431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299966.

The product of its digits is 1728000, while the sum is 46.

The spelling of 125435131544431 in words is "one hundred twenty-five trillion, four hundred thirty-five billion, one hundred thirty-one million, five hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 23 809 18607 24551 274583 564673 6315409 19861759 222137647 456820457 5109165881 6741287233 155049606359 5453701371497 125435131544431