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14399297136 = 24327193179307
BaseRepresentation
bin11010110100100001…
…11101011001110000
31101011111211002021100
431122100331121300
5213442210002021
610340454524400
71016554002060
oct153220753160
941144732240
1014399297136
11611a034074
12295a366700
131486265583
149a85373a0
15594208626
hex35a43d670

14399297136 has 480 divisors, whose sum is σ = 50841190400. Its totient is φ = 3711951360.

The previous prime is 14399297113. The next prime is 14399297137. The reversal of 14399297136 is 63179299341.

It is a happy number.

14399297136 is a `hidden beast` number, since 1 + 439 + 92 + 97 + 1 + 36 = 666.

14399297136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14399297137) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 46903095 + ... + 46903401.

Almost surely, 214399297136 is an apocalyptic number.

14399297136 is a gapful number since it is divisible by the number (16) 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 14399297136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25420595200).

14399297136 is an abundant number, since it is smaller than the sum of its proper divisors (36441893264).

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

14399297136 is a wasteful number, since it uses less digits than its factorization.

14399297136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The spelling of 14399297136 in words is "fourteen billion, three hundred ninety-nine million, two hundred ninety-seven thousand, one hundred thirty-six".