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144781056 = 2832747191
BaseRepresentation
bin10001010000100…
…10111100000000
3101002102122021100
420220102330000
5244030443211
622211054400
73405422130
oct1050227400
9332378240
10144781056
11747a8172
12405a1400
1323cc2584
141532aac0
15ca9d156
hex8a12f00

144781056 has 216 divisors, whose sum is σ = 489775104. Its totient is φ = 40273920.

The previous prime is 144781019. The next prime is 144781081. The reversal of 144781056 is 650187441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144781056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757921 + ... + 758111.

Almost surely, 2144781056 is an apocalyptic number.

144781056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 12032×12033.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244887552).

144781056 is an abundant number, since it is smaller than the sum of its proper divisors (344994048).

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

144781056 is a wasteful number, since it uses less digits than its factorization.

144781056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 144781056 is about 12032.4999896115. The cubic root of 144781056 is about 525.0942307048.

The spelling of 144781056 in words is "one hundred forty-four million, seven hundred eighty-one thousand, fifty-six".