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13410140997600 = 2533522861217001
BaseRepresentation
bin1100001100100100101010…
…1100001100011111100000
31202110222220210010221202000
43003021022230030133200
53224202432043410400
644304311141324000
72552564536511154
oct303111254143740
952428823127660
1013410140997600
114300232a9a746
121606b85106600
13763756280349
143450a8d71064
15183c664e0600
hexc324ab0c7e0

13410140997600 has 288 divisors, whose sum is σ = 48517185638880. Its totient is φ = 3574771200000.

The previous prime is 13410140997599. The next prime is 13410140997607. The reversal of 13410140997600 is 679904101431.

It is a happy number.

13410140997600 is a `hidden beast` number, since 1 + 3 + 410 + 140 + 9 + 97 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410140997607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 61689100 + ... + 61906100.

It is an arithmetic number, because the mean of its divisors is an integer number (168462450135).

Almost surely, 213410140997600 is an apocalyptic number.

13410140997600 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 13410140997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24258592819440).

13410140997600 is an abundant number, since it is smaller than the sum of its proper divisors (35107044641280).

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

13410140997600 is a wasteful number, since it uses less digits than its factorization.

13410140997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219891 (or 219872 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13410140997600 in words is "thirteen trillion, four hundred ten billion, one hundred forty million, nine hundred ninety-seven thousand, six hundred".