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22141144430241 = 3432931877312089
BaseRepresentation
bin1010000100011001000110…
…00011000111011010100001
32220101200011102110022112020
411002030203003013122201
510400230030433231431
6115031300142052053
74443434125261404
oct502144303073241
986350142408466
1022141144430241
1170670088a3381
12259712857a029
13c47b93545c45
145678cc321d3b
15285e1e295696
hex1423230c76a1

22141144430241 has 32 divisors (see below), whose sum is σ = 30327418154880. Its totient is φ = 14360582014464.

The previous prime is 22141144430213. The next prime is 22141144430269. The reversal of 22141144430241 is 14203444114122.

It is an interprime number because it is at equal distance from previous prime (22141144430213) and next prime (22141144430269).

It is not a de Polignac number, because 22141144430241 - 222 = 22141140235937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22141144432241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70788925 + ... + 71101013.

It is an arithmetic number, because the mean of its divisors is an integer number (947731817340).

Almost surely, 222141144430241 is an apocalyptic number.

It is an amenable number.

22141144430241 is a deficient number, since it is larger than the sum of its proper divisors (8186273724639).

22141144430241 is a wasteful number, since it uses less digits than its factorization.

22141144430241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314305.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 22141144430241 its reverse (14203444114122), we get a palindrome (36344588544363).

The spelling of 22141144430241 in words is "twenty-two trillion, one hundred forty-one billion, one hundred forty-four million, four hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 43 129 293 879 1877 5631 12599 37797 80711 242133 312089 549961 936267 1649883 13419827 23648323 40259481 70944969 91442077 274326231 585791053 1757373159 3932009311 11796027933 25189015279 75567045837 171636778529 514910335587 7380381476747 22141144430241