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144996519780 = 2232572332771783
BaseRepresentation
bin1000011100001001110…
…1110100111101100100
3111212021001112101100100
42013002131310331210
54333423102113110
6150335510344100
713322102040240
oct2070235647544
9455231471310
10144996519780
1156546834432
122412705b030
1310899aa2788
147037065420
153b896dbbc0
hex21c2774f64

144996519780 has 288 divisors, whose sum is σ = 506918490624. Its totient is φ = 32862246912.

The previous prime is 144996519757. The next prime is 144996519793. The reversal of 144996519780 is 87915699441.

144996519780 is a `hidden beast` number, since 1 + 4 + 49 + 9 + 6 + 519 + 78 + 0 = 666.

144996519780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 81320769 + ... + 81322551.

It is an arithmetic number, because the mean of its divisors is an integer number (1760133648).

Almost surely, 2144996519780 is an apocalyptic number.

144996519780 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 144996519780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253459245312).

144996519780 is an abundant number, since it is smaller than the sum of its proper divisors (361921970844).

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

144996519780 is a wasteful number, since it uses less digits than its factorization.

144996519780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 144996519780 in words is "one hundred forty-four billion, nine hundred ninety-six million, five hundred nineteen thousand, seven hundred eighty".