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2144844032 = 28171925939
BaseRepresentation
bin111111111010111…
…1011100100000000
312112110220100212212
41333311323210000
513343040002112
6552455241252
7104102605412
oct17765734400
95473810785
102144844032
11a00788081
124ba379228
1328248c4a6
14164c009b2
15c8474522
hex7fd7b900

2144844032 has 72 divisors (see below), whose sum is σ = 4771922400. Its totient is φ = 956178432.

The previous prime is 2144844017. The next prime is 2144844043. The reversal of 2144844032 is 2304484412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2144844032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69719 + ... + 95657.

It is an arithmetic number, because the mean of its divisors is an integer number (66276700).

Almost surely, 22144844032 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 2144844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385961200).

2144844032 is an abundant number, since it is smaller than the sum of its proper divisors (2627078368).

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

2144844032 is a wasteful number, since it uses less digits than its factorization.

2144844032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25991 (or 25977 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2144844032 is about 46312.4608717783. The cubic root of 2144844032 is about 1289.6303313495.

The spelling of 2144844032 in words is "two billion, one hundred forty-four million, eight hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 4352 4864 5168 10336 20672 25939 41344 51878 82688 103756 207512 415024 440963 492841 830048 881926 985682 1660096 1763852 1971364 3320192 3527704 3942728 6640384 7055408 7885456 8378297 14110816 15770912 16756594 28221632 31541824 33513188 56443264 63083648 67026376 112886528 126167296 134052752 268105504 536211008 1072422016 2144844032