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422134431224 = 231110147494873
BaseRepresentation
bin1100010010010010010…
…11000011110111111000
31111100121021101222102212
412021021023003313320
523404012403244344
6521531553514252
742332612314322
oct6111113036770
91440537358385
10422134431224
11153031977170
126998bb72988
1330a6529aa1c
1416607b38612
15aea9c2d79e
hex62492c3df8

422134431224 has 32 divisors (see below), whose sum is σ = 872005886640. Its totient is φ = 189979488000.

The previous prime is 422134431211. The next prime is 422134431247.

It is a happy number.

422134431224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4221344312242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23738549 + ... + 23756324.

Almost surely, 2422134431224 is an apocalyptic number.

422134431224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422134431224 is an abundant number, since it is smaller than the sum of its proper divisors (449871455416).

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

422134431224 is a wasteful number, since it uses less digits than its factorization.

422134431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47494991 (or 47494987 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 422134 and 431224, that added together give a palindrome (853358).

The spelling of 422134431224 in words is "four hundred twenty-two billion, one hundred thirty-four million, four hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 47494873 94989746 189979492 379958984 522443603 1044887206 2089774412 4179548824 4796982173 9593964346 19187928692 38375857384 52766803903 105533607806 211067215612 422134431224