Search a number
-
+
304332031014000 = 2435311297115114831
BaseRepresentation
bin100010100110010011101001…
…0100110100011010001110000
31110220112212011111120102100020
41011030213102212203101300
5304342133444414422000
62555132112135123440
7121050156301520163
oct10514472246432160
91426485144512306
10304332031014000
1188a73542651290
122a171705513580
13100a7506109c72
145521a6ad71ada
15252b59408dba0
hex114c9d29a3470

304332031014000 has 1280 divisors, whose sum is σ = 1130380313886720. Its totient is φ = 69760320000000.

The previous prime is 304332031013897. The next prime is 304332031014023. The reversal of 304332031014000 is 410130233403.

It is a super-2 number, since 2×3043320310140002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20519986585 + ... + 20520001415.

It is an arithmetic number, because the mean of its divisors is an integer number (883109620224).

Almost surely, 2304332031014000 is an apocalyptic number.

304332031014000 is a gapful number since it is divisible by the number (30) 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 304332031014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565190156943360).

304332031014000 is an abundant number, since it is smaller than the sum of its proper divisors (826048282872720).

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

304332031014000 is a wasteful number, since it uses less digits than its factorization.

304332031014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15119 (or 15103 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 304332031014000 its reverse (410130233403), we get a palindrome (304742161247403).

The spelling of 304332031014000 in words is "three hundred four trillion, three hundred thirty-two billion, thirty-one million, fourteen thousand".