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144725030880 = 25355311814817
BaseRepresentation
bin1000011011001001001…
…0001011011111100000
3111211120010200022120220
42012302102023133200
54332344101442010
6150252531403040
713312264315353
oct2066222133740
9454503608526
10144725030880
1156417563841
1224070153480
1310855778061
14700cd9429a
153b70960970
hex21b248b7e0

144725030880 has 192 divisors, whose sum is σ = 464975235648. Its totient is φ = 37825249280.

The previous prime is 144725030869. The next prime is 144725030909. The reversal of 144725030880 is 88030527441.

144725030880 is digitally balanced in base 3, 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30042232 + ... + 30047048.

It is an arithmetic number, because the mean of its divisors is an integer number (2421746019).

Almost surely, 2144725030880 is an apocalyptic number.

144725030880 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 144725030880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232487617824).

144725030880 is an abundant number, since it is smaller than the sum of its proper divisors (320250204768).

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

144725030880 is a wasteful number, since it uses less digits than its factorization.

144725030880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 144725030880 in words is "one hundred forty-four billion, seven hundred twenty-five million, thirty thousand, eight hundred eighty".