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3140210000 = 2454314021
BaseRepresentation
bin1011101100101011…
…1100110101010000
322002211212012022002
42323022330311100
522412343210000
61235333333132
7140550226124
oct27312746520
98084765262
103140210000
111371626284
127377971a8
133b0766335
1421b0a3584
15135a3c8d5
hexbb2bcd50

3140210000 has 50 divisors (see below), whose sum is σ = 7602786642. Its totient is φ = 1256080000.

The previous prime is 3140209937. The next prime is 3140210011. The reversal of 3140210000 is 120413.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1324086544 + 1816123456 = 36388^2 + 42616^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 147011 + ... + 167010.

Almost surely, 23140210000 is an apocalyptic number.

It is an amenable number.

3140210000 is an abundant number, since it is smaller than the sum of its proper divisors (4462576642).

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

3140210000 is an equidigital number, since it uses as much as digits as its factorization.

3140210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314049 (or 314028 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3140210000 is about 56037.5766785110. The cubic root of 3140210000 is about 1464.3769943947.

Adding to 3140210000 its reverse (120413), we get a palindrome (3140330413).

The spelling of 3140210000 in words is "three billion, one hundred forty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 314021 628042 1256084 1570105 2512168 3140210 5024336 6280420 7850525 12560840 15701050 25121680 31402100 39252625 62804200 78505250 125608400 157010500 196263125 314021000 392526250 628042000 785052500 1570105000 3140210000