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144134424324 = 223311418393527
BaseRepresentation
bin1000011000111100010…
…1001100011100000100
3111210000222100101201000
42012033011030130010
54330141403034244
6150114152533300
713261533251352
oct2061705143404
9453028311630
10144134424324
1156144141350
1223b263b1230
13107902bac17
146d947747d2
153b38b9b169
hex218f14c704

144134424324 has 192 divisors, whose sum is σ = 418211942400. Its totient is φ = 42548947200.

The previous prime is 144134424319. The next prime is 144134424341. The reversal of 144134424324 is 423424431441.

144134424324 is a `hidden beast` number, since 14 + 41 + 344 + 243 + 24 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40864249 + ... + 40867775.

It is an arithmetic number, because the mean of its divisors is an integer number (2178187200).

Almost surely, 2144134424324 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 144134424324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209105971200).

144134424324 is an abundant number, since it is smaller than the sum of its proper divisors (274077518076).

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

144134424324 is a wasteful number, since it uses less digits than its factorization.

144134424324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4423 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 144134424324 its reverse (423424431441), we get a palindrome (567558855765).

The spelling of 144134424324 in words is "one hundred forty-four billion, one hundred thirty-four million, four hundred twenty-four thousand, three hundred twenty-four".