Search a number
-
+
299141313840 = 24345235934019
BaseRepresentation
bin1000101101001100011…
…01100011010100110000
31001121010200011020210000
410112212031203110300
514400120134020330
6345231300310000
730420000133215
oct4264615432460
91047120136700
10299141313840
11105957522716
1249b859a2300
1322293c6baa5
141069b09bb0c
157bac0e3560
hex45a6363530

299141313840 has 400 divisors, whose sum is σ = 1102541932800. Its totient is φ = 75007240704.

The previous prime is 299141313839. The next prime is 299141313871. The reversal of 299141313840 is 48313141992.

299141313840 is a `hidden beast` number, since 299 + 1 + 4 + 1 + 313 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 8776351 + ... + 8810369.

It is an arithmetic number, because the mean of its divisors is an integer number (2756354832).

Almost surely, 2299141313840 is an apocalyptic number.

299141313840 is a gapful number since it is divisible by the number (20) 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 299141313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551270966400).

299141313840 is an abundant number, since it is smaller than the sum of its proper divisors (803400618960).

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

299141313840 is a wasteful number, since it uses less digits than its factorization.

299141313840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34126 (or 34111 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 299141313840 in words is "two hundred ninety-nine billion, one hundred forty-one million, three hundred thirteen thousand, eight hundred forty".