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44134177143144 = 23311167174913421
BaseRepresentation
bin10100000100011110010011…
…11100110111100101101000
312210021012000200120211000210
422002033021330313211220
521241043243322040034
6233510543332101120
712203406024000114
oct1202171174674550
9183235020524023
1044134177143144
1113076221470290
124b495ba7647a0
131b81ab179cb4a
14ac816998a744
155180706028e9
hex2823c9f37968

44134177143144 has 32 divisors (see below), whose sum is σ = 120365937663840. Its totient is φ = 13373993073600.

The previous prime is 44134177143109. The next prime is 44134177143151.

44134177143144 is nontrivially palindromic in base 10.

44134177143144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44134177143093 and 44134177143102.

It is an unprimeable number.

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, 83587456447 + ... + 83587456974.

It is an arithmetic number, because the mean of its divisors is an integer number (3761435551995).

Almost surely, 244134177143144 is an apocalyptic number.

44134177143144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44134177143144 is an abundant number, since it is smaller than the sum of its proper divisors (76231760520696).

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

44134177143144 is a wasteful number, since it uses less digits than its factorization.

44134177143144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167174913441 (or 167174913437 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The spelling of 44134177143144 in words is "forty-four trillion, one hundred thirty-four billion, one hundred seventy-seven million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 167174913421 334349826842 501524740263 668699653684 1003049480526 1337399307368 1838924047631 2006098961052 3677848095262 4012197922104 5516772142893 7355696190524 11033544285786 14711392381048 22067088571572 44134177143144