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14040538848 = 25327293161127
BaseRepresentation
bin11010001001110000…
…11001111011100000
31100020111202021102100
431010320121323200
5212223334220343
610241121250400
71004636416410
oct150470317340
940214667370
1014040538848
115a55577716
12287a193a00
131429b33a6b
14972a2a640
1557298e9d3
hex344e19ee0

14040538848 has 576 divisors, whose sum is σ = 49916805120. Its totient is φ = 3657830400.

The previous prime is 14040538829. The next prime is 14040538849. The reversal of 14040538848 is 84883504041.

It is a super-2 number, since 2×140405388482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040538849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110555361 + ... + 110555487.

It is an arithmetic number, because the mean of its divisors is an integer number (86661120).

Almost surely, 214040538848 is an apocalyptic number.

14040538848 is a gapful number since it is divisible by the number (18) 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 14040538848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24958402560).

14040538848 is an abundant number, since it is smaller than the sum of its proper divisors (35876266272).

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

14040538848 is a wasteful number, since it uses less digits than its factorization.

14040538848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 14040538848 in words is "fourteen billion, forty million, five hundred thirty-eight thousand, eight hundred forty-eight".