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13444114000 = 24536722057
BaseRepresentation
bin11001000010101010…
…01110011001010000
31021200221110202100011
430201111032121100
5210013143122000
610102014004304
7654105040432
oct144125163120
937627422304
1013444114000
115779940919
1227324a6694
1313633ba555
14917734652
1553a42b2ba
hex32154e650

13444114000 has 40 divisors (see below), whose sum is σ = 32507872488. Its totient is φ = 5377644800.

The previous prime is 13444113983. The next prime is 13444114043. The reversal of 13444114000 is 41144431.

It can be written as a sum of positive squares in 4 ways, for example, as 551874064 + 12892239936 = 23492^2 + 113544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 3359029 + ... + 3363028.

Almost surely, 213444114000 is an apocalyptic number.

13444114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13444114000 is an abundant number, since it is smaller than the sum of its proper divisors (19063758488).

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

13444114000 is an equidigital number, since it uses as much as digits as its factorization.

13444114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722080 (or 6722064 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13444114000 its reverse (41144431), we get a palindrome (13485258431).

The spelling of 13444114000 in words is "thirteen billion, four hundred forty-four million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6722057 13444114 26888228 33610285 53776456 67220570 107552912 134441140 168051425 268882280 336102850 537764560 672205700 840257125 1344411400 1680514250 2688822800 3361028500 6722057000 13444114000