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14525240730 = 235711132291283
BaseRepresentation
bin11011000011100010…
…11001010110011010
31101111021210200101220
431201301121112122
5214221430200410
610401154152510
71022643336420
oct154161312632
941437720356
1014525240730
116184135390
122994582736
1314a6390900
149bb15d110
155a02d5070
hex361c5959a

14525240730 has 384 divisors, whose sum is σ = 48723793920. Its totient is φ = 2687892480.

The previous prime is 14525240693. The next prime is 14525240777. The reversal of 14525240730 is 3704252541.

14525240730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 14525240691 and 14525240700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11320669 + ... + 11321951.

It is an arithmetic number, because the mean of its divisors is an integer number (126884880).

Almost surely, 214525240730 is an apocalyptic number.

14525240730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14525240730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24361896960).

14525240730 is an abundant number, since it is smaller than the sum of its proper divisors (34198553190).

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

14525240730 is a wasteful number, since it uses less digits than its factorization.

14525240730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

It can be divided in two parts, 14525 and 240730, that added together give a triangular number (255255 = T714).

The spelling of 14525240730 in words is "fourteen billion, five hundred twenty-five million, two hundred forty thousand, seven hundred thirty".