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424113311424 = 26311200811227
BaseRepresentation
bin1100010101111110001…
…11111000111011000000
31111112201012000111202010
412022333013320323000
523422041001431144
6522500204052520
742432631444335
oct6127707707300
91445635014663
10424113311424
111539579a9150
126a242834140
1330cbc25c05a
141675489698c
15b07381d5b9
hex62bf1f8ec0

424113311424 has 56 divisors (see below), whose sum is σ = 1224145245888. Its totient is φ = 128519184640.

The previous prime is 424113311423. The next prime is 424113311441.

It is a happy number.

424113311424 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424113311391 and 424113311400.

It is not an unprimeable number, because it can be changed into a prime (424113311423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100403502 + ... + 100407725.

Almost surely, 2424113311424 is an apocalyptic number.

424113311424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424113311424 is an abundant number, since it is smaller than the sum of its proper divisors (800031934464).

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

424113311424 is a wasteful number, since it uses less digits than its factorization.

424113311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200811253 (or 200811243 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 424113 and 311424, that added together give a palindrome (735537).

The spelling of 424113311424 in words is "four hundred twenty-four billion, one hundred thirteen million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 200811227 401622454 602433681 803244908 1204867362 1606489816 2208923497 2409734724 3212979632 4417846994 4819469448 6425959264 6626770491 8835693988 9638938896 12851918528 13253540982 17671387976 19277877792 26507081964 35342775952 38555755584 53014163928 70685551904 106028327856 141371103808 212056655712 424113311424