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144243324000 = 25325314926891
BaseRepresentation
bin1000011001010110010…
…0100111010001100000
3111210022120021001222100
42012111210213101200
54330402242332000
6150133043010400
713264325011206
oct2062544472140
9453276231870
10144243324000
115619a661286
1223b56969a00
13107a9a294b9
146da5001076
153b4350ca00
hex2195927460

144243324000 has 288 divisors, whose sum is σ = 515374423200. Its totient is φ = 38205312000.

The previous prime is 144243323999. The next prime is 144243324047. The reversal of 144243324000 is 423342441.

It is a happy number.

144243324000 is a `hidden beast` number, since 14 + 4 + 243 + 3 + 2 + 400 + 0 = 666.

144243324000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1442433240002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5350555 + ... + 5377445.

It is an arithmetic number, because the mean of its divisors is an integer number (1789494525).

Almost surely, 2144243324000 is an apocalyptic number.

144243324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144243324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257687211600).

144243324000 is an abundant number, since it is smaller than the sum of its proper divisors (371131099200).

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

144243324000 is a wasteful number, since it uses less digits than its factorization.

144243324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27071 (or 27050 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 144243324000 its reverse (423342441), we get a palindrome (144666666441).

The spelling of 144243324000 in words is "one hundred forty-four billion, two hundred forty-three million, three hundred twenty-four thousand".