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14593718040 = 23351122389491
BaseRepresentation
bin11011001011101101…
…00111011100011000
31101200001122200121120
431211312213130120
5214341442434130
610412042005240
71024434361626
oct154566473430
941601580546
1014593718040
116209856400
1229b34a6820
1314b7618325
149c62a6516
155a630e910
hex365da7718

14593718040 has 384 divisors, whose sum is σ = 50883033600. Its totient is φ = 3339212800.

The previous prime is 14593717921. The next prime is 14593718057. The reversal of 14593718040 is 4081739541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14593717983 and 14593718001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29722195 + ... + 29722685.

It is an arithmetic number, because the mean of its divisors is an integer number (132507900).

Almost surely, 214593718040 is an apocalyptic number.

14593718040 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 14593718040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25441516800).

14593718040 is an abundant number, since it is smaller than the sum of its proper divisors (36289315560).

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

14593718040 is a wasteful number, since it uses less digits than its factorization.

14593718040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 14593718040 in words is "fourteen billion, five hundred ninety-three million, seven hundred eighteen thousand, forty".