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14091632640 = 21433523277
BaseRepresentation
bin11010001111110110…
…10100000000000000
31100101001220002221000
431013323110000000
5212324424221030
610250144332000
71006126621041
oct150773240000
940331802830
1014091632640
115a813a5198
122893314000
1314375b2c87
1497972a8c8
155771d3860
hex347ed4000

14091632640 has 480 divisors, whose sum is σ = 52469141760. Its totient is φ = 3581411328.

The previous prime is 14091632627. The next prime is 14091632647. The reversal of 14091632640 is 4623619041.

14091632640 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 1 + 6 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×140916326402 (a number of 21 digits) contains 22 as substring.

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 = 14091632595 and 14091632604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14091632647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50872182 + ... + 50872458.

It is an arithmetic number, because the mean of its divisors is an integer number (109310712).

Almost surely, 214091632640 is an apocalyptic number.

14091632640 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 14091632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26234570880).

14091632640 is an abundant number, since it is smaller than the sum of its proper divisors (38377509120).

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

14091632640 is an equidigital number, since it uses as much as digits as its factorization.

14091632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14091632640 in words is "fourteen billion, ninety-one million, six hundred thirty-two thousand, six hundred forty".