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221441020040141 = 1159449375941113
BaseRepresentation
bin110010010110011001000001…
…010101101001001111001101
31002001001112222102112022012222
4302112121001111221033031
5213011042202112241031
62102544333352105125
764433404623515306
oct6226310125511715
91061045872468188
10221441020040141
11646156779479a0
1220a049056951a5
139673a4c664985
143c97b343017ad
151a902c83aae7b
hexc966415693cd

221441020040141 has 16 divisors (see below), whose sum is σ = 245721143747520. Its totient is φ = 197853935560320.

The previous prime is 221441020040131. The next prime is 221441020040173. The reversal of 221441020040141 is 141040020144122.

It is a cyclic number.

It is not a de Polignac number, because 221441020040141 - 26 = 221441020040077 is a prime.

It is a super-2 number, since 2×2214410200401412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221441020040141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221441020040131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35054600 + ... + 40886513.

It is an arithmetic number, because the mean of its divisors is an integer number (15357571484220).

Almost surely, 2221441020040141 is an apocalyptic number.

It is an amenable number.

221441020040141 is a deficient number, since it is larger than the sum of its proper divisors (24280123707379).

221441020040141 is a wasteful number, since it uses less digits than its factorization.

221441020040141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75945676.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 221441020040141 its reverse (141040020144122), we get a palindrome (362481040184263).

The spelling of 221441020040141 in words is "two hundred twenty-one trillion, four hundred forty-one billion, twenty million, forty thousand, one hundred forty-one".

Divisors: 1 11 59 649 4493 49423 265087 2915957 75941113 835352243 4480525667 49285782337 341203420709 3753237627799 20131001821831 221441020040141