Search a number
-
+
1130841420800 = 21052713485423
BaseRepresentation
bin10000011101001011011…
…001101011010000000000
311000002220021122021110012
4100131023121223100000
5122011430400431200
62223300144124052
7144462206323160
oct20351331532000
94002807567405
101130841420800
113a6650556a13
121631b8606628
138283a5966b0
143ca395805a0
151e6383d4a35
hex1074b66b400

1130841420800 has 264 divisors, whose sum is σ = 3449997686016. Its totient is φ = 357891932160.

The previous prime is 1130841420679. The next prime is 1130841420853. The reversal of 1130841420800 is 80241480311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2086889 + ... + 2572311.

Almost surely, 21130841420800 is an apocalyptic number.

1130841420800 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 1130841420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724998843008).

1130841420800 is an abundant number, since it is smaller than the sum of its proper divisors (2319156265216).

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

1130841420800 is a wasteful number, since it uses less digits than its factorization.

1130841420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485473 (or 485450 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 1130841420800 in words is "one trillion, one hundred thirty billion, eight hundred forty-one million, four hundred twenty thousand, eight hundred".