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3140016516 = 2234713281379
BaseRepresentation
bin1011101100101000…
…1101100110000100
322002211111100220000
42323022031212010
522412321012031
61235325241300
7140545462050
oct27312154604
98084440800
103140016516
11137150397a
12737703230
133b06c9250
1421b052c60
15135a003e6
hexbb28d984

3140016516 has 240 divisors, whose sum is σ = 10165626240. Its totient is φ = 823011840.

The previous prime is 3140016497. The next prime is 3140016547. The reversal of 3140016516 is 6156100413.

3140016516 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 1 + 651 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 3140016516.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8284815 + ... + 8285193.

It is an arithmetic number, because the mean of its divisors is an integer number (42356776).

Almost surely, 23140016516 is an apocalyptic number.

3140016516 is a gapful number since it is divisible by the number (36) 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 3140016516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082813120).

3140016516 is an abundant number, since it is smaller than the sum of its proper divisors (7025609724).

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

3140016516 is a wasteful number, since it uses less digits than its factorization.

3140016516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3140016516 is about 56035.8502746233. The cubic root of 3140016516 is about 1464.3469179202.

Adding to 3140016516 its reverse (6156100413), we get a palindrome (9296116929).

The spelling of 3140016516 in words is "three billion, one hundred forty million, sixteen thousand, five hundred sixteen".