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4044550144 = 2126911429
BaseRepresentation
bin1111000100010010…
…1111000000000000
3101102212112102202111
43301010233000000
531240401101034
61505200425104
7202141052245
oct36104570000
911385472674
104044550144
111796052428
1294a618194
134c5c1c34b
142a522d5cc
1518a125364
hexf112f000

4044550144 has 52 divisors (see below), whose sum is σ = 8105485960. Its totient is φ = 2017935360.

The previous prime is 4044550091. The next prime is 4044550187. The reversal of 4044550144 is 4410554404.

It is a congruent number.

It is an unprimeable number.

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, 2829622 + ... + 2831050.

It is an arithmetic number, because the mean of its divisors is an integer number (155874730).

Almost surely, 24044550144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052742980).

4044550144 is an abundant number, since it is smaller than the sum of its proper divisors (4060935816).

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

4044550144 is an equidigital number, since it uses as much as digits as its factorization.

4044550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The square root of 4044550144 is about 63596.7777800102. Note that the first 4 decimals coincide. The cubic root of 4044550144 is about 1593.2725530561.

The spelling of 4044550144 in words is "four billion, forty-four million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 691 1024 1382 1429 2048 2764 2858 4096 5528 5716 11056 11432 22112 22864 44224 45728 88448 91456 176896 182912 353792 365824 707584 731648 987439 1415168 1463296 1974878 2830336 2926592 3949756 5853184 7899512 15799024 31598048 63196096 126392192 252784384 505568768 1011137536 2022275072 4044550144