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144311241223000 = 235310716759313619
BaseRepresentation
bin100000110100000000010100…
…010001010010101101011000
3200220222000112112012120021001
4200310000110101102231120
5122403343410223114000
61230531400300354344
742253100042035465
oct4064002421225530
9626860475176231
10144311241223000
1141a89065536355
121422859a8459b4
13626a651220a77
14278c9b66b266c
1511a3cee99346a
hex834014452b58

144311241223000 has 256 divisors, whose sum is σ = 343488694348800. Its totient is φ = 56742567270400.

The previous prime is 144311241222991. The next prime is 144311241223003. The reversal of 144311241223000 is 322142113441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144311241223000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144311241223003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10596310191 + ... + 10596323809.

It is an arithmetic number, because the mean of its divisors is an integer number (1341752712300).

Almost surely, 2144311241223000 is an apocalyptic number.

144311241223000 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 144311241223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171744347174400).

144311241223000 is an abundant number, since it is smaller than the sum of its proper divisors (199177453125800).

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

144311241223000 is a wasteful number, since it uses less digits than its factorization.

144311241223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14507 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 144311241223000 its reverse (322142113441), we get a palindrome (144633383336441).

The spelling of 144311241223000 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred forty-one million, two hundred twenty-three thousand".