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44214011200 = 265227633757
BaseRepresentation
bin101001001011010111…
…000100010101000000
311020010100110111010101
4221023113010111000
51211022241324300
632151151412144
73123443615512
oct511327042500
9136110414111
1044214011200
1117829725027
12869b224054
134228125808
1421d610dbb2
15123b932b6a
hexa4b5c4540

44214011200 has 42 divisors (see below), whose sum is σ = 108794105246. Its totient is φ = 17685603840.

The previous prime is 44214011183. The next prime is 44214011201. The reversal of 44214011200 is 211041244.

It can be written as a sum of positive squares in 3 ways, for example, as 14550149376 + 29663861824 = 120624^2 + 172232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44214011201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13815279 + ... + 13818478.

Almost surely, 244214011200 is an apocalyptic number.

44214011200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44214011200 is an abundant number, since it is smaller than the sum of its proper divisors (64580094046).

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

44214011200 is a wasteful number, since it uses less digits than its factorization.

44214011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27633779 (or 27633764 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 44214011200 its reverse (211041244), we get a palindrome (44425052444).

The spelling of 44214011200 in words is "forty-four billion, two hundred fourteen million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 27633757 55267514 110535028 138168785 221070056 276337570 442140112 552675140 690843925 884280224 1105350280 1381687850 1768560448 2210700560 2763375700 4421401120 5526751400 8842802240 11053502800 22107005600 44214011200