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42214221321504 = 253439731472099
BaseRepresentation
bin10011001100100110000111…
…01010101001010100100000
312112110122021122222112101020
421212103003222221110200
521013114211124242004
6225440540123405440
711614606520533401
oct1146230352512440
9175418248875336
1042214221321504
11124a5a50460421
124899495383880
131a72a2656ac2b
14a5d271a959a8
154d314e91d8d9
hex2664c3aa9520

42214221321504 has 24 divisors (see below), whose sum is σ = 110812330969200. Its totient is φ = 14071407107136.

The previous prime is 42214221321427. The next prime is 42214221321509. The reversal of 42214221321504 is 40512312241224.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (42214221321509) by changing a digit.

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, 219865735954 + ... + 219865736145.

It is an arithmetic number, because the mean of its divisors is an integer number (4617180457050).

Almost surely, 242214221321504 is an apocalyptic number.

It is an amenable number.

42214221321504 is an abundant number, since it is smaller than the sum of its proper divisors (68598109647696).

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

42214221321504 is a wasteful number, since it uses less digits than its factorization.

42214221321504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439731472112 (or 439731472104 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 42214221321504 its reverse (40512312241224), we get a palindrome (82726533562728).

The spelling of 42214221321504 in words is "forty-two trillion, two hundred fourteen billion, two hundred twenty-one million, three hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 439731472099 879462944198 1319194416297 1758925888396 2638388832594 3517851776792 5276777665188 7035703553584 10553555330376 14071407107168 21107110660752 42214221321504