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425241142524 = 2232113729022737
BaseRepresentation
bin1100011000000100101…
…10001110010011111100
31111122121210020021011100
412030002112032103330
523431343213030044
6523204133253100
742502605033552
oct6140226162374
91448553207140
10425241142524
111543865a2370
126a4b8494190
133113bb05733
141682059bbd2
15b0dc850869
hex630258e4fc

425241142524 has 72 divisors (see below), whose sum is σ = 1204327536048. Its totient is φ = 125378219520.

The previous prime is 425241142523. The next prime is 425241142577.

425241142524 is a `hidden beast` number, since 4 + 2 + 52 + 41 + 1 + 42 + 524 = 666.

425241142524 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425241142523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14496717 + ... + 14526020.

It is an arithmetic number, because the mean of its divisors is an integer number (16726771334).

Almost surely, 2425241142524 is an apocalyptic number.

425241142524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

425241142524 is an abundant number, since it is smaller than the sum of its proper divisors (779086393524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425241142524 is a wasteful number, since it uses less digits than its factorization.

425241142524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29022795 (or 29022790 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 425241 and 142524, that added together give a palindrome (567765).

The spelling of 425241142524 in words is "four hundred twenty-five billion, two hundred forty-one million, one hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 29022737 58045474 87068211 116090948 174136422 261204633 319250107 348272844 522409266 638500214 957750321 1044818532 1073841269 1277000428 1915500642 2147682538 2873250963 3221523807 3831001284 4295365076 5746501926 6443047614 9664571421 11493003852 11812253959 12886095228 19329142842 23624507918 35436761877 38658285684 47249015836 70873523754 106310285631 141747047508 212620571262 425241142524