Search a number
-
+
1440491136000 = 21035373159293
BaseRepresentation
bin10100111101100011111…
…101100110010000000000
312002201011022012121220120
4110331203331212100000
5142100111212323000
63021430312140240
7206033466426150
oct24754375462000
95081138177816
101440491136000
115059aa769054
121b3215697680
13a5ab7659a47
144da12102760
152770cd0d6a0
hex14f63f66400

1440491136000 has 1408 divisors, whose sum is σ = 5768208875520. Its totient is φ = 312164352000.

The previous prime is 1440491135999. The next prime is 1440491136017. The reversal of 1440491136000 is 6311940441.

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 127 ways as a sum of consecutive naturals, for example, 4916351854 + ... + 4916352146.

Almost surely, 21440491136000 is an apocalyptic number.

1440491136000 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 1440491136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884104437760).

1440491136000 is an abundant number, since it is smaller than the sum of its proper divisors (4327717739520).

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

1440491136000 is a wasteful number, since it uses less digits than its factorization.

1440491136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 1440491136000 in words is "one trillion, four hundred forty billion, four hundred ninety-one million, one hundred thirty-six thousand".