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424483384424 = 231121972225969
BaseRepresentation
bin1100010110101010010…
…11100110110001101000
31111120122222101011110112
412023111023212301220
523423320221300144
6523001024033452
742445044143351
oct6132513466150
91446588334415
10424483384424
11154027893500
126a326762888
133104ab22968
141678baaad28
15b09606e99e
hex62d52e6c68

424483384424 has 48 divisors (see below), whose sum is σ = 879280409700. Its totient is φ = 191967480320.

The previous prime is 424483384393. The next prime is 424483384447.

424483384424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 423173668324 + 1309716100 = 650518^2 + 36190^2 .

It is a super-2 number, since 2×4244833844242 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922289 + ... + 1303680.

Almost surely, 2424483384424 is an apocalyptic number.

424483384424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424483384424 is an abundant number, since it is smaller than the sum of its proper divisors (454797025276).

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

424483384424 is a wasteful number, since it uses less digits than its factorization.

424483384424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226194 (or 2226179 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 50.

The spelling of 424483384424 in words is "four hundred twenty-four billion, four hundred eighty-three million, three hundred eighty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 197 242 394 484 788 968 1576 2167 4334 8668 17336 23837 47674 95348 190696 2225969 4451938 8903876 17807752 24485659 48971318 97942636 195885272 269342249 438515893 538684498 877031786 1077368996 1754063572 2154737992 3508127144 4823674823 9647349646 19294699292 38589398584 53060423053 106120846106 212241692212 424483384424