Search a number
-
+
299380040910720 = 27335721132143291
BaseRepresentation
bin100010000010010001101100…
…0111111011100011110000000
31110021000110012210112202002000
41010010203120333130132000
5303220020310433120340
62540421143033224000
7120026331334245300
oct10404433077343600
91407013183482060
10299380040910720
11874343a92aa820
12296b1a35b62000
13cb085556c4c13
1453d00dd8b9600
152492866656d30
hex11048d8fdc780

299380040910720 has 768 divisors, whose sum is σ = 1345543917753600. Its totient is φ = 62208837734400.

The previous prime is 299380040910677. The next prime is 299380040910773. The reversal of 299380040910720 is 27019040083992.

299380040910720 is a `hidden beast` number, since 2 + 9 + 93 + 80 + 0 + 409 + 1 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6757726 + ... + 25385565.

It is an arithmetic number, because the mean of its divisors is an integer number (1752010309575).

Almost surely, 2299380040910720 is an apocalyptic number.

299380040910720 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 299380040910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672771958876800).

299380040910720 is an abundant number, since it is smaller than the sum of its proper divisors (1046163876842880).

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

299380040910720 is a wasteful number, since it uses less digits than its factorization.

299380040910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32143344 (or 32143319 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 299380040910720 in words is "two hundred ninety-nine trillion, three hundred eighty billion, forty million, nine hundred ten thousand, seven hundred twenty".