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1444987148160 = 27352961742061
BaseRepresentation
bin10101000001101111111…
…100100001011110000000
312010010202122020201010110
4111001233330201132000
5142133313202220120
63023452401231320
7206253062050263
oct25015774413600
95103678221113
101444987148160
115078a7635586
121b406b332540
13a6352c6837a
144dd1b290cda
15278c28b02e0
hex1506ff21780

1444987148160 has 256 divisors, whose sum is σ = 4772556417600. Its totient is φ = 371430850560.

The previous prime is 1444987148141. The next prime is 1444987148177. The reversal of 1444987148160 is 618417894441.

It is a self number, because there is not a number n which added to its sum of digits gives 1444987148160.

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 31 ways as a sum of consecutive naturals, for example, 34333530 + ... + 34375590.

Almost surely, 21444987148160 is an apocalyptic number.

1444987148160 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 1444987148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386278208800).

1444987148160 is an abundant number, since it is smaller than the sum of its proper divisors (3327569269440).

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

1444987148160 is a wasteful number, since it uses less digits than its factorization.

1444987148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42729 (or 42717 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 1444987148160 in words is "one trillion, four hundred forty-four billion, nine hundred eighty-seven million, one hundred forty-eight thousand, one hundred sixty".