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1444056666000 = 243531321424119
BaseRepresentation
bin10101000000111000011…
…111000000111110010000
312010001100210101022120020
4111000320133000332100
5142124412001303000
63023220201543440
7206221033064304
oct25007037007620
95101323338506
101444056666000
1150746a383563
121b3a4b7a4b80
13a623525b400
144dc6d87bd04
152786ad61ba0
hex150387c0f90

1444056666000 has 240 divisors, whose sum is σ = 5041316442240. Its totient is φ = 355459852800.

The previous prime is 1444056665969. The next prime is 1444056666001. The reversal of 1444056666000 is 6666504441.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1444056666001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 301941 + ... + 1726059.

It is an arithmetic number, because the mean of its divisors is an integer number (21005485176).

Almost surely, 21444056666000 is an apocalyptic number.

1444056666000 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 1444056666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520658221120).

1444056666000 is an abundant number, since it is smaller than the sum of its proper divisors (3597259776240).

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

1444056666000 is a wasteful number, since it uses less digits than its factorization.

1444056666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424171 (or 1424142 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1444056666000 in words is "one trillion, four hundred forty-four billion, fifty-six million, six hundred sixty-six thousand".