Search a number
-
+
12144422025 = 325260189809
BaseRepresentation
bin10110100111101110…
…10010110010001001
31011100100212120010100
423103313102302021
5144332433001100
65325025040013
7606643612131
oct132367226211
934310776110
1012144422025
11517223401a
12242b186009
1311b705c848
14832c93ac1
154b129c400
hex2d3dd2c89

12144422025 has 36 divisors (see below), whose sum is σ = 21788444860. Its totient is φ = 6466176000.

The previous prime is 12144422021. The next prime is 12144422029. The reversal of 12144422025 is 52022444121.

It is a happy number.

12144422025 is a `hidden beast` number, since 1 + 2 + 14 + 442 + 202 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12144422021) and next prime (12144422029).

It can be written as a sum of positive squares in 6 ways, for example, as 1089792144 + 11054629881 = 33012^2 + 105141^2 .

It is not a de Polignac number, because 12144422025 - 22 = 12144422021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12144422025.

It is not an unprimeable number, because it can be changed into a prime (12144422021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90321 + ... + 180129.

Almost surely, 212144422025 is an apocalyptic number.

12144422025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12144422025 is a deficient number, since it is larger than the sum of its proper divisors (9644022835).

12144422025 is a wasteful number, since it uses less digits than its factorization.

12144422025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90426 (or 90418 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12144422025 its reverse (52022444121), we get a palindrome (64166866146).

The spelling of 12144422025 in words is "twelve billion, one hundred forty-four million, four hundred twenty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 601 1803 3005 5409 9015 15025 27045 45075 89809 135225 269427 449045 808281 1347135 2245225 4041405 6735675 20207025 53975209 161925627 269876045 485776881 809628135 1349380225 2428884405 4048140675 12144422025