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44122022144 = 28643268043
BaseRepresentation
bin101001000101111000…
…001010000100000000
311012212221100221212022
4221011320022010000
51210330214202034
632134104021012
73121246000034
oct510570120400
9135787327768
1044122022144
1117791805312
128674461768
134212058415
1421c7c061c4
151233811b2e
hexa45e0a100

44122022144 has 36 divisors (see below), whose sum is σ = 88208991696. Its totient is φ = 22026619392.

The previous prime is 44122022143. The next prime is 44122022183.

It is a happy number.

44122022144 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (44122022143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30587 + ... + 298629.

Almost surely, 244122022144 is an apocalyptic number.

It is an amenable number.

44122022144 is a deficient number, since it is larger than the sum of its proper divisors (44086969552).

44122022144 is an equidigital number, since it uses as much as digits as its factorization.

44122022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268702 (or 268688 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 441220 and 22144, that added together give a palindrome (463364).

The spelling of 44122022144 in words is "forty-four billion, one hundred twenty-two million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 643 1286 2572 5144 10288 20576 41152 82304 164608 268043 536086 1072172 2144344 4288688 8577376 17154752 34309504 68619008 172351649 344703298 689406596 1378813192 2757626384 5515252768 11030505536 22061011072 44122022144