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15252144240000 = 27354137463873
BaseRepresentation
bin1101110111110010101010…
…1000111011010110000000
32000000002110011012220200010
43131330222220323112000
53444342342411140000
652234423251424520
73132634231650663
oct335745250732600
960002404186603
1015252144240000
114950441889aa8
121863b742b5140
1386836a5b8c25
143aa2c9dab6da
151b6b23833d50
hexddf2aa3b580

15252144240000 has 320 divisors, whose sum is σ = 50995320211440. Its totient is φ = 4037541888000.

The previous prime is 15252144239987. The next prime is 15252144240007. The reversal of 15252144240000 is 4244125251.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 15252144240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15252144240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32648064 + ... + 33111936.

Almost surely, 215252144240000 is an apocalyptic number.

15252144240000 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 15252144240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25497660105720).

15252144240000 is an abundant number, since it is smaller than the sum of its proper divisors (35743175971440).

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

15252144240000 is an equidigital number, since it uses as much as digits as its factorization.

15252144240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464047 (or 464020 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 15252144240000 its reverse (4244125251), we get a palindrome (15256388365251).

The spelling of 15252144240000 in words is "fifteen trillion, two hundred fifty-two billion, one hundred forty-four million, two hundred forty thousand".