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4400400444 = 2231133336367
BaseRepresentation
bin1000001100100100…
…01100100000111100
3102100200010111121020
410012102030200330
533003000303234
62004351504140
7214021533546
oct40622144074
912320114536
104400400444
111958a02a90
12a29828050
1355187335b
142da5c0696
151ab4b7549
hex10648c83c

4400400444 has 24 divisors (see below), whose sum is σ = 11201019648. Its totient is φ = 1333454640.

The previous prime is 4400400439. The next prime is 4400400449. The reversal of 4400400444 is 4440040044.

It is an interprime number because it is at equal distance from previous prime (4400400439) and next prime (4400400449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400400449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16668052 + ... + 16668315.

It is an arithmetic number, because the mean of its divisors is an integer number (466709152).

Almost surely, 24400400444 is an apocalyptic number.

4400400444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4400400444 is an abundant number, since it is smaller than the sum of its proper divisors (6800619204).

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

4400400444 is a wasteful number, since it uses less digits than its factorization.

4400400444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33336385 (or 33336383 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4400400444 is about 66335.5141986553. The cubic root of 4400400444 is about 1638.6922506459.

Adding to 4400400444 its reverse (4440040044), we get a palindrome (8840440488).

The spelling of 4400400444 in words is "four billion, four hundred million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 33336367 66672734 100009101 133345468 200018202 366700037 400036404 733400074 1100100111 1466800148 2200200222 4400400444