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14730096240 = 243554118481
BaseRepresentation
bin11011011011111101…
…10110111001110000
31102000120021102100000
431231332312321300
5220131401034430
610433353030000
71031011515666
oct155576667160
942016242300
1014730096240
116279834362
122a310b5300
131509957ca2
149da446c36
155b329ce60
hex36dfb6e70

14730096240 has 240 divisors, whose sum is σ = 52554823776. Its totient is φ = 3832012800.

The previous prime is 14730096239. The next prime is 14730096247. The reversal of 14730096240 is 4269003741.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 14730096195 and 14730096204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14730096247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787800 + ... + 806280.

Almost surely, 214730096240 is an apocalyptic number.

14730096240 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 14730096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26277411888).

14730096240 is an abundant number, since it is smaller than the sum of its proper divisors (37824727536).

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

14730096240 is a wasteful number, since it uses less digits than its factorization.

14730096240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18550 (or 18532 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 14730096240 its reverse (4269003741), we get a palindrome (18999099981).

The spelling of 14730096240 in words is "fourteen billion, seven hundred thirty million, ninety-six thousand, two hundred forty".