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14489072640 = 210345722331
BaseRepresentation
bin11010111111001110…
…11011010000000000
31101101202202011010000
431133213123100000
5214133200311030
610353423040000
71022024041200
oct153747332000
941352664100
1014489072640
1161657817a9
122984440000
13149ba39283
149b6426400
1559c03d860
hex35f9db400

14489072640 has 1320 divisors, whose sum is σ = 65056476672. Its totient is φ = 3065610240.

The previous prime is 14489072603. The next prime is 14489072699. The reversal of 14489072640 is 4627098441.

14489072640 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 (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 467389425 + ... + 467389455.

Almost surely, 214489072640 is an apocalyptic number.

14489072640 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 14489072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32528238336).

14489072640 is an abundant number, since it is smaller than the sum of its proper divisors (50567404032).

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

14489072640 is a wasteful number, since it uses less digits than its factorization.

14489072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14489072640 in words is "fourteen billion, four hundred eighty-nine million, seventy-two thousand, six hundred forty".