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13340344442400 = 253552131607863
BaseRepresentation
bin1100001000100000101001…
…1111011101111000100000
31202020022202112121120200000
43002020022133131320200
53222032011134124100
644212245235100000
72544544112544063
oct302101237357040
952208675546600
1013340344442400
114283676723778
1215b5546441600
13759cb2027c41
143419673968da
1518202dbb9900
hexc220a7dde20

13340344442400 has 864 divisors, whose sum is σ = 49294092976128. Its totient is φ = 3520369382400.

The previous prime is 13340344442393. The next prime is 13340344442429. The reversal of 13340344442400 is 424444304331.

13340344442400 is a `hidden beast` number, since 1 + 3 + 3 + 403 + 4 + 4 + 4 + 4 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15458104369 + ... + 15458105231.

It is an arithmetic number, because the mean of its divisors is an integer number (57053348352).

Almost surely, 213340344442400 is an apocalyptic number.

13340344442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13340344442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24647046488064).

13340344442400 is an abundant number, since it is smaller than the sum of its proper divisors (35953748533728).

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

13340344442400 is a wasteful number, since it uses less digits than its factorization.

13340344442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13340344442400 its reverse (424444304331), we get a palindrome (13764788746731).

The spelling of 13340344442400 in words is "thirteen trillion, three hundred forty billion, three hundred forty-four million, four hundred forty-two thousand, four hundred".