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540114113520 = 243253130778823
BaseRepresentation
bin1111101110000010100…
…11110101001111110000
31220122010110222211001200
413313001103311033300
532322123203113040
61052042555531200
754010350133542
oct7670123651760
91818113884050
10540114113520
11199074377733
1288817159b00
133bc17a45b17
141c1daa17692
15e0b265b630
hex7dc14f53f0

540114113520 has 240 divisors, whose sum is σ = 1878518433792. Its totient is φ = 138928504320.

The previous prime is 540114113519. The next prime is 540114113563. The reversal of 540114113520 is 25311411045.

540114113520 is a `hidden beast` number, since 540 + 1 + 1 + 4 + 113 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6812829 + ... + 6891651.

Almost surely, 2540114113520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540114113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939259216896).

540114113520 is an abundant number, since it is smaller than the sum of its proper divisors (1338404320272).

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

540114113520 is a wasteful number, since it uses less digits than its factorization.

540114113520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79180 (or 79171 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 540114113520 its reverse (25311411045), we get a palindrome (565425524565).

The spelling of 540114113520 in words is "five hundred forty billion, one hundred fourteen million, one hundred thirteen thousand, five hundred twenty".