Search a number
-
+
14311343052 = 22322971193073
BaseRepresentation
bin11010101010000010…
…11100001111001100
31100221101022112221200
431111001130033030
5213302200434202
610324033425500
71014435260136
oct152501341714
940841275850
1014311343052
11608441a946
122934a0b290
131470c7b936
1499a9a0056
1558b632e1c
hex35505c3cc

14311343052 has 72 divisors (see below), whose sum is σ = 37950625440. Its totient is φ = 4541053440.

The previous prime is 14311343051. The next prime is 14311343063. The reversal of 14311343052 is 25034311341.

It is a happy number.

14311343052 is a `hidden beast` number, since 1 + 4 + 311 + 343 + 0 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (14311343051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22413 + ... + 170660.

It is an arithmetic number, because the mean of its divisors is an integer number (527092020).

Almost surely, 214311343052 is an apocalyptic number.

14311343052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14311343052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975312720).

14311343052 is an abundant number, since it is smaller than the sum of its proper divisors (23639282388).

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

14311343052 is a wasteful number, since it uses less digits than its factorization.

14311343052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193183 (or 193178 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14311343052 its reverse (25034311341), we get a palindrome (39345654393).

The spelling of 14311343052 in words is "fourteen billion, three hundred eleven million, three hundred forty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 71 87 116 142 174 213 261 284 348 426 522 639 852 1044 1278 2059 2556 4118 6177 8236 12354 18531 24708 37062 74124 193073 386146 579219 772292 1158438 1737657 2316876 3475314 5599117 6950628 11198234 13708183 16797351 22396468 27416366 33594702 41124549 50392053 54832732 67189404 82249098 100784106 123373647 164498196 201568212 246747294 397537307 493494588 795074614 1192611921 1590149228 2385223842 3577835763 4770447684 7155671526 14311343052