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2014230042 = 2321141248119
BaseRepresentation
bin111100000001110…
…1011011000011010
312012101010111011200
41320003223120122
513111120330132
6531511535030
7100625446536
oct17003533032
95171114150
102014230042
11943a86930
1248268a476
132613ba3c6
14151720bc6
15bbc73d7c
hex780eb61a

2014230042 has 48 divisors (see below), whose sum is σ = 4877046720. Its totient is φ = 595483200.

The previous prime is 2014230019. The next prime is 2014230059. The reversal of 2014230042 is 2400324102.

2014230042 is a `hidden beast` number, since 201 + 423 + 0 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2014229997 and 2014230024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115942 + ... + 132177.

It is an arithmetic number, because the mean of its divisors is an integer number (101605140).

Almost surely, 22014230042 is an apocalyptic number.

2014230042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2014230042 is an abundant number, since it is smaller than the sum of its proper divisors (2862816678).

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

2014230042 is a wasteful number, since it uses less digits than its factorization.

2014230042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248179 (or 248176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2014230042 is about 44880.1742643676. The cubic root of 2014230042 is about 1262.9021125024.

Adding to 2014230042 its reverse (2400324102), we get a palindrome (4414554144).

The spelling of 2014230042 in words is "two billion, fourteen million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 248119 496238 744357 1488714 2233071 2729309 4466142 5458618 8187927 10172879 16375854 20345758 24563781 30518637 49127562 61037274 91555911 111901669 183111822 223803338 335705007 671410014 1007115021 2014230042