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144054341340 = 22357131131491567
BaseRepresentation
bin1000011000101001001…
…1101100111011011100
3111202211101122202111120
42012022103230323130
54330010402410330
6150102212250540
713256541461310
oct2061223547334
9452741582446
10144054341340
1156102a13868
1223b03610a50
131077982bb40
146d87c89b40
153b31b2cc10
hex218a4ecedc

144054341340 has 384 divisors, whose sum is σ = 504509644800. Its totient is φ = 29903634432.

The previous prime is 144054341287. The next prime is 144054341371. The reversal of 144054341340 is 43143450441.

144054341340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 91929237 + ... + 91930803.

It is an arithmetic number, because the mean of its divisors is an integer number (1313827200).

Almost surely, 2144054341340 is an apocalyptic number.

144054341340 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 144054341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252254822400).

144054341340 is an abundant number, since it is smaller than the sum of its proper divisors (360455303460).

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

144054341340 is a wasteful number, since it uses less digits than its factorization.

144054341340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 144054341340 its reverse (43143450441), we get a palindrome (187197791781).

The spelling of 144054341340 in words is "one hundred forty-four billion, fifty-four million, three hundred forty-one thousand, three hundred forty".