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13445141200 = 245233612853
BaseRepresentation
bin11001000010110010…
…01001001011010000
31021201000101221101121
430201121021023100
5210013424004300
610102052012024
7654116546251
oct144131111320
937630357347
1013445141200
11577a482647
122732901014
131363689c6a
14917920b28
1553a58081a
hex3216492d0

13445141200 has 30 divisors (see below), whose sum is σ = 32301952694. Its totient is φ = 5378056320.

The previous prime is 13445141189. The next prime is 13445141207. The reversal of 13445141200 is 214154431.

It can be written as a sum of positive squares in 3 ways, for example, as 127057984 + 13318083216 = 11272^2 + 115404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13445141207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16806027 + ... + 16806826.

Almost surely, 213445141200 is an apocalyptic number.

13445141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13445141200 is an abundant number, since it is smaller than the sum of its proper divisors (18856811494).

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

13445141200 is a wasteful number, since it uses less digits than its factorization.

13445141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33612871 (or 33612860 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 13445141200 its reverse (214154431), we get a palindrome (13659295631).

The spelling of 13445141200 in words is "thirteen billion, four hundred forty-five million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 33612853 67225706 134451412 168064265 268902824 336128530 537805648 672257060 840321325 1344514120 1680642650 2689028240 3361285300 6722570600 13445141200