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3114040032 = 25333604213
BaseRepresentation
bin1011100110011100…
…0111101011100000
322001000121121212000
42321213013223200
522334143240112
61233000404000
7140111621625
oct27147075340
98030547760
103114040032
111358881404
1272aa76600
133a820274c
1421781034c
151335bd7dc
hexb99c7ae0

3114040032 has 48 divisors (see below), whose sum is σ = 9082619280. Its totient is φ = 1038013056.

The previous prime is 3114040019. The next prime is 3114040051. The reversal of 3114040032 is 2300404113.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×31140400322 = 19394490641797122048, which contains 22 as substring.

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 = 3114039987 and 3114040014.

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 7 ways as a sum of consecutive naturals, for example, 1801243 + ... + 1802970.

It is an arithmetic number, because the mean of its divisors is an integer number (189221235).

Almost surely, 23114040032 is an apocalyptic number.

3114040032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3114040032 is an abundant number, since it is smaller than the sum of its proper divisors (5968579248).

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

3114040032 is a wasteful number, since it uses less digits than its factorization.

3114040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604232 (or 3604218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3114040032 is about 55803.5844010042. The cubic root of 3114040032 is about 1460.2976862186.

Adding to 3114040032 its reverse (2300404113), we get a palindrome (5414444145).

The spelling of 3114040032 in words is "three billion, one hundred fourteen million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3604213 7208426 10812639 14416852 21625278 28833704 32437917 43250556 57667408 64875834 86501112 97313751 115334816 129751668 173002224 194627502 259503336 346004448 389255004 519006672 778510008 1038013344 1557020016 3114040032