Search a number
-
+
1041783540000 = 25354712719531
BaseRepresentation
bin11110010100011110010…
…00110100100100100000
310200121000200112011220120
433022033020310210200
5114032033041240000
62114331100440240
7135160236660630
oct17121710644440
93617020464816
101041783540000
113718aa715a35
12149aa3249080
13773169c70c8
14385cb8446c0
151c174b046a0
hexf28f234920

1041783540000 has 480 divisors, whose sum is σ = 3936391151616. Its totient is φ = 236234880000.

The previous prime is 1041783539987. The next prime is 1041783540001. The reversal of 1041783540000 is 453871401.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (1041783540001) 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 79 ways as a sum of consecutive naturals, for example, 53330235 + ... + 53349765.

Almost surely, 21041783540000 is an apocalyptic number.

1041783540000 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 1041783540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968195575808).

1041783540000 is an abundant number, since it is smaller than the sum of its proper divisors (2894607611616).

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

1041783540000 is a wasteful number, since it uses less digits than its factorization.

1041783540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19698 (or 19675 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 1041783540000 in words is "one trillion, forty-one billion, seven hundred eighty-three million, five hundred forty thousand".