Search a number
-
+
12144141432 = 233453353603
BaseRepresentation
bin10110100111101100…
…01110010001111000
31011100100100022020000
423103312032101320
5144332400011212
65325015033000
7606641333103
oct132366162170
934310308200
1012144141432
115172062225
12242b06b760
1311b6c91c07
14832c1d73a
154b12441dc
hex2d3d8e478

12144141432 has 80 divisors (see below), whose sum is σ = 34656728040. Its totient is φ = 3971657664.

The previous prime is 12144141409. The next prime is 12144141433. The reversal of 12144141432 is 23414144121.

12144141432 is a `hidden beast` number, since 1 + 214 + 4 + 1 + 414 + 32 = 666.

It is a super-2 number, since 2×121441414322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 12144141396 and 12144141405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144141433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142458 + ... + 211145.

Almost surely, 212144141432 is an apocalyptic number.

12144141432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12144141432 is an abundant number, since it is smaller than the sum of its proper divisors (22512586608).

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

12144141432 is a wasteful number, since it uses less digits than its factorization.

12144141432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353674 (or 353661 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12144141432 its reverse (23414144121), we get a palindrome (35558285553).

The spelling of 12144141432 in words is "twelve billion, one hundred forty-four million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 11448 17172 34344 353603 707206 1060809 1414412 2121618 2828824 3182427 4243236 6364854 8486472 9547281 12729708 18740959 19094562 25459416 28641843 37481918 38189124 56222877 57283686 74963836 76378248 112445754 114567372 149927672 168668631 224891508 229134744 337337262 449783016 506005893 674674524 1012011786 1349349048 1518017679 2024023572 3036035358 4048047144 6072070716 12144141432