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144543831040 = 2105773101547
BaseRepresentation
bin1000011010011101111…
…0111101010000000000
3111211002111201102010201
42012213132331100000
54332011210043130
6150222535534544
713304634202060
oct2064736752000
9454074642121
10144543831040
1156334251704
122401b52a454
131082707400b
146dd2ca73a0
153b5eabbbca
hex21a77bd400

144543831040 has 352 divisors, whose sum is σ = 406416685824. Its totient is φ = 48306585600.

The previous prime is 144543831023. The next prime is 144543831119. The reversal of 144543831040 is 40138345441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264248047 + ... + 264248593.

Almost surely, 2144543831040 is an apocalyptic number.

144543831040 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 144543831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203208342912).

144543831040 is an abundant number, since it is smaller than the sum of its proper divisors (261872854784).

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

144543831040 is a wasteful number, since it uses less digits than its factorization.

144543831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 144543831040 in words is "one hundred forty-four billion, five hundred forty-three million, eight hundred thirty-one thousand, forty".