Search a number
-
+
1139750945280 = 29325175928123
BaseRepresentation
bin10000100101011110011…
…100110100001000000000
311000221220012111000101100
4100211132130310020000
5122133202220222110
62231332214134400
7145226043121203
oct20453634641000
94027805430340
101139750945280
113aa402771592
12164a84351400
138362a38947c
143d24296393a
151e9aa68dbc0
hex1095e734200

1139750945280 has 240 divisors, whose sum is σ = 3949662562560. Its totient is φ = 303749996544.

The previous prime is 1139750945261. The next prime is 1139750945297. The reversal of 1139750945280 is 825490579311.

It is a happy number.

1139750945280 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 7 + 509 + 4 + 52 + 80 = 666.

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

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, 40513299 + ... + 40541421.

It is an arithmetic number, because the mean of its divisors is an integer number (16456927344).

Almost surely, 21139750945280 is an apocalyptic number.

1139750945280 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 1139750945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974831281280).

1139750945280 is an abundant number, since it is smaller than the sum of its proper divisors (2809911617280).

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

1139750945280 is a wasteful number, since it uses less digits than its factorization.

1139750945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29911 (or 29892 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1139750945280 in words is "one trillion, one hundred thirty-nine billion, seven hundred fifty million, nine hundred forty-five thousand, two hundred eighty".