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12144142144 = 261919075237
BaseRepresentation
bin10110100111101100…
…01110011101000000
31011100100100100012101
423103312032131000
5144332400022034
65325015040144
7606641335141
oct132366163500
934310310171
1012144142144
115172062812
12242b070054
1311b6c92334
14832c1dac8
154b1244514
hex2d3d8e740

12144142144 has 56 divisors (see below), whose sum is σ = 25385024160. Its totient is φ = 5748374016.

The previous prime is 12144142139. The next prime is 12144142177. The reversal of 12144142144 is 44124144121.

12144142144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 2316294 + ... + 2321530.

Almost surely, 212144142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692512080).

12144142144 is an abundant number, since it is smaller than the sum of its proper divisors (13240882016).

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

12144142144 is a wasteful number, since it uses less digits than its factorization.

12144142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175 (or 7165 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 12144142144 its reverse (44124144121), we get a palindrome (56268286265).

The spelling of 12144142144 in words is "twelve billion, one hundred forty-four million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1907 3814 5237 7628 10474 15256 20948 30512 36233 41896 61024 72466 83792 99503 122048 144932 167584 199006 289864 335168 398012 579728 796024 1159456 1592048 2318912 3184096 6368192 9986959 19973918 39947836 79895672 159791344 189752221 319582688 379504442 639165376 759008884 1518017768 3036035536 6072071072 12144142144