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422421121124224 = 2710313200935993
BaseRepresentation
bin110000000001100001001010…
…0110111101100011110000000
32001101200001202020021010022121
41200003002110313230132000
5420331421424001433344
64054225330053214024
7154655630112654055
oct14003022467543600
92041601666233277
10422421121124224
11112661878419082
123b464062931314
13151921aa447811
14764541167b02c
1533c8221c61684
hex1803094dec780

422421121124224 has 32 divisors (see below), whose sum is σ = 842358316181040. Its totient is φ = 211005700592640.

The previous prime is 422421121124153. The next prime is 422421121124297.

422421121124224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a self number, because there is not a number n which added to its sum of digits gives 422421121124224.

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 3 ways as a sum of consecutive naturals, for example, 1600336029 + ... + 1600599964.

Almost surely, 2422421121124224 is an apocalyptic number.

It is an amenable number.

422421121124224 is a deficient number, since it is larger than the sum of its proper divisors (419937195056816).

422421121124224 is a wasteful number, since it uses less digits than its factorization.

422421121124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200937038 (or 3200937026 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The spelling of 422421121124224 in words is "four hundred twenty-two trillion, four hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 1031 2062 4124 8248 16496 32992 65984 131968 3200935993 6401871986 12803743972 25607487944 51214975888 102429951776 204859903552 409719807104 3300165008783 6600330017566 13200660035132 26401320070264 52802640140528 105605280281056 211210560562112 422421121124224