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13244014400 = 26528277509
BaseRepresentation
bin11000101010110011…
…11001111101000000
31021011222221122021212
430111121321331000
5204110431430100
610030105105252
7646125156611
oct142531717500
937158848255
1013244014400
1156869a0051
122697488228
131330ac9b16
148d8d27c08
15527aa2635
hex315679f40

13244014400 has 42 divisors (see below), whose sum is σ = 32588556870. Its totient is φ = 5297605120.

The previous prime is 13244014397. The next prime is 13244014403. The reversal of 13244014400 is 441044231.

It is a happy number.

13244014400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13244014397) and next prime (13244014403).

It can be written as a sum of positive squares in 3 ways, for example, as 1912837696 + 11331176704 = 43736^2 + 106448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13244014403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4137155 + ... + 4140354.

Almost surely, 213244014400 is an apocalyptic number.

13244014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13244014400 is an abundant number, since it is smaller than the sum of its proper divisors (19344542470).

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

13244014400 is an equidigital number, since it uses as much as digits as its factorization.

13244014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277531 (or 8277516 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13244014400 its reverse (441044231), we get a palindrome (13685058631).

The spelling of 13244014400 in words is "thirteen billion, two hundred forty-four million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 8277509 16555018 33110036 41387545 66220072 82775090 132440144 165550180 206937725 264880288 331100360 413875450 529760576 662200720 827750900 1324401440 1655501800 2648802880 3311003600 6622007200 13244014400