Search a number
-
+
300312242323232 = 25414349123774561
BaseRepresentation
bin100010001001000011110010…
…0100001100111111100100000
31110101022120101111222001221012
41010102013210201213330200
5303330303433013320412
62542413312312520052
7120153562215436046
oct10422074441477440
91411276344861835
10300312242323232
1187763785738427
12298226363b0028
13cb75427650669
145423293834396
1524abc25ba7c22
hex11121e4867f20

300312242323232 has 192 divisors, whose sum is σ = 621405009929088. Its totient is φ = 142704156672000.

The previous prime is 300312242323217. The next prime is 300312242323283. The reversal of 300312242323232 is 232323242213003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65843506232 + ... + 65843510792.

It is an arithmetic number, because the mean of its divisors is an integer number (3236484426714).

Almost surely, 2300312242323232 is an apocalyptic number.

300312242323232 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 300312242323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310702504964544).

300312242323232 is an abundant number, since it is smaller than the sum of its proper divisors (321092767605856).

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

300312242323232 is a wasteful number, since it uses less digits than its factorization.

300312242323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 300312242323232 its reverse (232323242213003), we get a palindrome (532635484536235).

The spelling of 300312242323232 in words is "three hundred trillion, three hundred twelve billion, two hundred forty-two million, three hundred twenty-three thousand, two hundred thirty-two".