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12144222432 = 25351561757
BaseRepresentation
bin10110100111101101…
…00010000011100000
31011100100111102100000
423103312202003200
5144332410104212
65325020500000
7606642121206
oct132366420340
934310442300
1012144222432
115172108071
12242b0aa600
1311b6cbca44
14832c41076
154b125d1dc
hex2d3da20e0

12144222432 has 72 divisors (see below), whose sum is σ = 35814234456. Its totient is φ = 4048071552.

The previous prime is 12144222421. The next prime is 12144222443. The reversal of 12144222432 is 23422244121.

It is a happy number.

12144222432 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 222 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (12144222421) and next prime (12144222443).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 12144222396 and 12144222405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 773103 + ... + 788654.

It is an arithmetic number, because the mean of its divisors is an integer number (497419923).

Almost surely, 212144222432 is an apocalyptic number.

12144222432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12144222432 is an abundant number, since it is smaller than the sum of its proper divisors (23670012024).

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

12144222432 is an equidigital number, since it uses as much as digits as its factorization.

12144222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561782 (or 1561762 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12144222432 its reverse (23422244121), we get a palindrome (35566466553).

The spelling of 12144222432 in words is "twelve billion, one hundred forty-four million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 1561757 3123514 4685271 6247028 9370542 12494056 14055813 18741084 24988112 28111626 37482168 42167439 49976224 56223252 74964336 84334878 112446504 126502317 149928672 168669756 224893008 253004634 337339512 379506951 449786016 506009268 674679024 759013902 1012018536 1349358048 1518027804 2024037072 3036055608 4048074144 6072111216 12144222432