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144055430000 = 2454371392801
BaseRepresentation
bin1000011000101001011…
…1110110101101110000
3111202211110201001212022
42012022113312231300
54330011142230000
6150102251451012
713256553644246
oct2061227665560
9452743631768
10144055430000
1156103597789
1223b03a56a68
1310779b20511
146d88090796
153b31c95585
hex218a5f6b70

144055430000 has 200 divisors, whose sum is σ = 360904661040. Its totient is φ = 55641600000.

The previous prime is 144055429981. The next prime is 144055430017. The reversal of 144055430000 is 34550441.

144055430000 is digitally balanced in base 2, 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 (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51428600 + ... + 51431400.

Almost surely, 2144055430000 is an apocalyptic number.

144055430000 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 144055430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180452330520).

144055430000 is an abundant number, since it is smaller than the sum of its proper divisors (216849231040).

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

144055430000 is a wasteful number, since it uses less digits than its factorization.

144055430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 144055430000 its reverse (34550441), we get a palindrome (144089980441).

The spelling of 144055430000 in words is "one hundred forty-four billion, fifty-five million, four hundred thirty thousand".