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444121101121444 = 22739150243944899
BaseRepresentation
bin110010011111011010000000…
…0011110000011011110100100
32011020111120012011000012112121
41210332310000132003132210
5431202440003341341234
64212322230042355324
7162355455622401265
oct14476640036033644
92136446164005477
10444121101121444
1111956877940827a
124198978a1bbb44
13160a7594c7c546
147b9580c71a96c
1536529207b44b4
hex193ed007837a4

444121101121444 has 12 divisors (see below), whose sum is σ = 778263634582000. Its totient is φ = 221760062669448.

The previous prime is 444121101121441. The next prime is 444121101121507.

444121101121444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4441211011214442 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444121101121441) 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 3 ways as a sum of consecutive naturals, for example, 75121969494 + ... + 75121975405.

Almost surely, 2444121101121444 is an apocalyptic number.

It is an amenable number.

444121101121444 is a deficient number, since it is larger than the sum of its proper divisors (334142533460556).

444121101121444 is a wasteful number, since it uses less digits than its factorization.

444121101121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150243945642 (or 150243945640 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

It can be divided in two parts, 44412110 and 1121444, that added together give a palindrome (45533554).

The spelling of 444121101121444 in words is "four hundred forty-four trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 739 1478 2956 150243944899 300487889798 600975779596 111030275280361 222060550560722 444121101121444