Search a number
-
+
1444426388064 = 25341141230137
BaseRepresentation
bin10101000001001110100…
…001011001001001100000
312010002022120002010220000
4111001032201121021200
5142131141123404224
63023321010220000
7206233142502222
oct25011641311140
95102276063800
101444426388064
1150763a049190
121b3b33584600
13a6293a2b36a
144dca6a00412
152788d5440c9
hex1504e859260

1444426388064 has 360 divisors, whose sum is σ = 4750145054424. Its totient is φ = 427015065600.

The previous prime is 1444426388039. The next prime is 1444426388077. The reversal of 1444426388064 is 4608836244441.

1444426388064 is a `hidden beast` number, since 1 + 4 + 4 + 442 + 63 + 8 + 80 + 64 = 666.

It is a super-2 number, since 2×14444263880642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1444426388064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47913604 + ... + 47943740.

Almost surely, 21444426388064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444426388064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375072527212).

1444426388064 is an abundant number, since it is smaller than the sum of its proper divisors (3305718666360).

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

1444426388064 is a wasteful number, since it uses less digits than its factorization.

1444426388064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30252 (or 30194 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 1444426388064 in words is "one trillion, four hundred forty-four billion, four hundred twenty-six million, three hundred eighty-eight thousand, sixty-four".