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65314513440 = 253251137111443
BaseRepresentation
bin111100110101000011…
…000110001000100000
320020120212210001122100
4330311003012020200
52032231003412230
650001032410400
74501361126661
oct746503061040
9206525701570
1065314513440
1125777381730
12107a9846a00
13620b7c88b7
143238625368
151a740d3660
hexf350c6220

65314513440 has 288 divisors, whose sum is σ = 249721932096. Its totient is φ = 15405742080.

The previous prime is 65314513423. The next prime is 65314513441. The reversal of 65314513440 is 4431541356.

65314513440 is a `hidden beast` number, since 6 + 531 + 4 + 51 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 65314513395 and 65314513404.

It is not an unprimeable number, because it can be changed into a prime (65314513441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530359 + ... + 641801.

It is an arithmetic number, because the mean of its divisors is an integer number (867090042).

Almost surely, 265314513440 is an apocalyptic number.

65314513440 is a gapful number since it is divisible by the number (60) 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 65314513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124860966048).

65314513440 is an abundant number, since it is smaller than the sum of its proper divisors (184407418656).

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

65314513440 is a wasteful number, since it uses less digits than its factorization.

65314513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111512 (or 111501 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 65314513440 in words is "sixty-five billion, three hundred fourteen million, five hundred thirteen thousand, four hundred forty".