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44114352405144 = 2337262585430983
BaseRepresentation
bin10100000011111001011000…
…10011011111101010011000
312210012021212001211210001020
422001330230103133222120
521240232143203431034
6233453504223122440
712202104530336130
oct1201745423375230
9183167761753036
1044114352405144
111306887896819a
124b457a7443420
131b7cc724ca648
14ac7208a87ac0
155177aee56249
hex281f2c4dfa98

44114352405144 has 32 divisors (see below), whose sum is σ = 126041006872320. Its totient is φ = 12604100687136.

The previous prime is 44114352405143. The next prime is 44114352405169. The reversal of 44114352405144 is 44150425341144.

44114352405144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 44114352405096 and 44114352405105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44114352405143) 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 7 ways as a sum of consecutive naturals, for example, 131292715324 + ... + 131292715659.

It is an arithmetic number, because the mean of its divisors is an integer number (3938781464760).

Almost surely, 244114352405144 is an apocalyptic number.

It is an amenable number.

44114352405144 is an abundant number, since it is smaller than the sum of its proper divisors (81926654467176).

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

44114352405144 is a wasteful number, since it uses less digits than its factorization.

44114352405144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262585430999 (or 262585430995 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

Adding to 44114352405144 its reverse (44150425341144), we get a palindrome (88264777746288).

The spelling of 44114352405144 in words is "forty-four trillion, one hundred fourteen billion, three hundred fifty-two million, four hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 262585430983 525170861966 787756292949 1050341723932 1575512585898 1838098016881 2100683447864 3151025171796 3676196033762 5514294050643 6302050343592 7352392067524 11028588101286 14704784135048 22057176202572 44114352405144