Search a number
-
+
300321442432 = 27112295711171
BaseRepresentation
bin1000101111011001000…
…11011000101010000000
31001201011220202222212101
410113230203120222000
514410024242124212
6345544334440144
730461150066314
oct4275443305200
91051156688771
10300321442432
11106402696800
124a255063054
13224215c652b
141076dad7b44
157c2aa06157
hex45ec8d8a80

300321442432 has 192 divisors, whose sum is σ = 682082200800. Its totient is φ = 131459328000.

The previous prime is 300321442363. The next prime is 300321442439. The reversal of 300321442432 is 234244123003.

It is a self number, because there is not a number n which added to its sum of digits gives 300321442432.

It is not an unprimeable number, because it can be changed into a prime (300321442439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256465207 + ... + 256466377.

Almost surely, 2300321442432 is an apocalyptic number.

300321442432 is a gapful number since it is divisible by the number (32) 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 300321442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341041100400).

300321442432 is an abundant number, since it is smaller than the sum of its proper divisors (381760758368).

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

300321442432 is a wasteful number, since it uses less digits than its factorization.

300321442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 300321442432 its reverse (234244123003), we get a palindrome (534565565435).

The spelling of 300321442432 in words is "three hundred billion, three hundred twenty-one million, four hundred forty-two thousand, four hundred thirty-two".