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424112202211424 = 2517779618018771
BaseRepresentation
bin110000001101110100101000…
…1001010000110000001100000
32001121122201201120200020020212
41200123221101022012001200
5421042123242231231144
64102002242253553252
7155222044511020316
oct14033512112060140
92047581646606225
10424112202211424
11113153a7a625451
123b6979524a5828
13152857bc15119c
1476a31d66800b6
1534071e956e49e
hex181ba51286060

424112202211424 has 24 divisors (see below), whose sum is σ = 884086833287448. Its totient is φ = 199582212805120.

The previous prime is 424112202211361. The next prime is 424112202211517.

424112202211424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4241122022114242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 389809008842 + ... + 389809009929.

It is an arithmetic number, because the mean of its divisors is an integer number (36836951386977).

Almost surely, 2424112202211424 is an apocalyptic number.

It is an amenable number.

424112202211424 is an abundant number, since it is smaller than the sum of its proper divisors (459974631076024).

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

424112202211424 is a wasteful number, since it uses less digits than its factorization.

424112202211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779618018798 (or 779618018790 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 42411220 and 2211424, that added together give a palindrome (44622644).

The spelling of 424112202211424 in words is "four hundred twenty-four trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 779618018771 1559236037542 3118472075084 6236944150168 12473888300336 13253506319107 24947776600672 26507012638214 53014025276428 106028050552856 212056101105712 424112202211424