Search a number
-
+
994981630240 = 2551323414347251
BaseRepresentation
bin11100111101010011000…
…01101101000100100000
310112010012222110211100101
432132221201231010200
5112300210244131430
62041031021232144
7131612400212263
oct16365141550440
93463188424311
10994981630240
11353a73211474
12140a01402654
1372a986a7890
143622bb62cda
151ad35dd1dca
hexe7a986d120

994981630240 has 768 divisors, whose sum is σ = 2839061643264. Its totient is φ = 326430720000.

The previous prime is 994981630109. The next prime is 994981630243. The reversal of 994981630240 is 42036189499.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (994981630243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3964070115 + ... + 3964070365.

It is an arithmetic number, because the mean of its divisors is an integer number (3696694848).

Almost surely, 2994981630240 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 994981630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419530821632).

994981630240 is an abundant number, since it is smaller than the sum of its proper divisors (1844080013024).

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

994981630240 is a wasteful number, since it uses less digits than its factorization.

994981630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 994981630240 in words is "nine hundred ninety-four billion, nine hundred eighty-one million, six hundred thirty thousand, two hundred forty".