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144111413132244 = 223219507205213247
BaseRepresentation
bin100000110001000110001101…
…100101100111101111010100
3200220020220202011101202220200
4200301012031211213233110
5122342110133230212434
61230255511431100500
742232464106221555
oct4061061545475724
9626226664352820
10144111413132244
1141a11341811108
12141b5910811730
136254856701c4c
14278305b38032c
15119da0667a199
hex83118d967bd4

144111413132244 has 36 divisors (see below), whose sum is σ = 364300303820544. Its totient is φ = 48034674917712.

The previous prime is 144111413132207. The next prime is 144111413132311. The reversal of 144111413132244 is 442231314111441.

144111413132244 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 1 + 413 + 13 + 224 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 144111413132199 and 144111413132208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101904372 + ... + 103308875.

It is an arithmetic number, because the mean of its divisors is an integer number (10119452883904).

Almost surely, 2144111413132244 is an apocalyptic number.

It is an amenable number.

144111413132244 is an abundant number, since it is smaller than the sum of its proper divisors (220188890688300).

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

144111413132244 is a wasteful number, since it uses less digits than its factorization.

144111413132244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205232764 (or 205232759 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 144111413132244 its reverse (442231314111441), we get a palindrome (586342727243685).

The spelling of 144111413132244 in words is "one hundred forty-four trillion, one hundred eleven billion, four hundred thirteen million, one hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 19507 39014 58521 78028 117042 175563 234084 351126 702252 205213247 410426494 615639741 820852988 1231279482 1846919223 2462558964 3693838446 7387676892 4003094809229 8006189618458 12009284427687 16012379236916 24018568855374 36027853283061 48037137710748 72055706566122 144111413132244