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424531135424 = 26111213497137
BaseRepresentation
bin1100010110110000000…
…01110000101111000000
31111120210022020011112002
412023120001300233000
523423414432313144
6523005451323132
742446164053164
oct6133001605700
91446708204462
10424531135424
11154051838540
126a33a7504a8
13310579a14a6
141679417aca4
15b09a35314e
hex62d8070bc0

424531135424 has 56 divisors (see below), whose sum is σ = 919772910768. Its totient is φ = 192809226240.

The previous prime is 424531135397. The next prime is 424531135453.

424531135424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605384 + ... + 1102520.

Almost surely, 2424531135424 is an apocalyptic number.

424531135424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424531135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459886455384).

424531135424 is an abundant number, since it is smaller than the sum of its proper divisors (495241775344).

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

424531135424 is a wasteful number, since it uses less digits than its factorization.

424531135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498373 (or 498363 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 424531 and 135424, that added together give a palindrome (559955).

The spelling of 424531135424 in words is "four hundred twenty-four billion, five hundred thirty-one million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1213 2426 4852 9704 13343 19408 26686 38816 53372 77632 106744 213488 426976 497137 853952 994274 1988548 3977096 5468507 7954192 10937014 15908384 21874028 31816768 43748056 87496112 174992224 349984448 603027181 1206054362 2412108724 4824217448 6633298991 9648434896 13266597982 19296869792 26533195964 38593739584 53066391928 106132783856 212265567712 424531135424