Search a number
-
+
14022102312 = 2332194751421
BaseRepresentation
bin11010000111100100…
…00100110100101000
31100012020001121020200
431003302010310220
5212204124233222
610235222152200
71004323621521
oct150362046450
940166047220
1014022102312
115a46125009
122873b82660
13142607a17a
149703cb848
1557104beac
hex343c84d28

14022102312 has 24 divisors (see below), whose sum is σ = 37976527290. Its totient is φ = 4674034080.

The previous prime is 14022102217. The next prime is 14022102317. The reversal of 14022102312 is 21320122041.

It is a happy number.

14022102312 is a `hidden beast` number, since 140 + 2 + 210 + 2 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10268579556 + 3753522756 = 101334^2 + 61266^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (14022102317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97375639 + ... + 97375782.

Almost surely, 214022102312 is an apocalyptic number.

14022102312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14022102312 is an abundant number, since it is smaller than the sum of its proper divisors (23954424978).

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

14022102312 is a wasteful number, since it uses less digits than its factorization.

14022102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194751433 (or 194751426 counting only the distinct ones).

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

Adding to 14022102312 its reverse (21320122041), we get a palindrome (35342224353).

The spelling of 14022102312 in words is "fourteen billion, twenty-two million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 194751421 389502842 584254263 779005684 1168508526 1558011368 1752762789 2337017052 3505525578 4674034104 7011051156 14022102312