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2140014312 = 233229722421
BaseRepresentation
bin111111110001110…
…0000011011101000
312112010210222202100
41333203200123220
513340320424222
6552203533400
7104013551532
oct17743403350
95463728670
102140014312
119a8a89477
124b882a260
1328148b077
14164304852
15c7d1d4ac
hex7f8e06e8

2140014312 has 24 divisors (see below), whose sum is σ = 5795872290. Its totient is φ = 713338080.

The previous prime is 2140014307. The next prime is 2140014329. The reversal of 2140014312 is 2134100412.

It can be written as a sum of positive squares in only one way, i.e., 1993265316 + 146748996 = 44646^2 + 12114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×21400143122 = 9159322511129666688, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14861139 + ... + 14861282.

Almost surely, 22140014312 is an apocalyptic number.

It is an amenable number.

2140014312 is an abundant number, since it is smaller than the sum of its proper divisors (3655857978).

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

2140014312 is a wasteful number, since it uses less digits than its factorization.

2140014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29722433 (or 29722426 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2140014312 is about 46260.2887150524. The cubic root of 2140014312 is about 1288.6616153214.

Adding to 2140014312 its reverse (2134100412), we get a palindrome (4274114724).

The spelling of 2140014312 in words is "two billion, one hundred forty million, fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29722421 59444842 89167263 118889684 178334526 237779368 267501789 356669052 535003578 713338104 1070007156 2140014312