Search a number
-
+
305523412000 = 2553241557569
BaseRepresentation
bin1000111001000101001…
…11010100110000100000
31002012121110012102120221
410130202213110300200
520001202443141000
6352204443012424
731034104103332
oct4344247246040
91065543172527
10305523412000
11108632001504
124b26720a114
1322a7024ba31
1410b04931452
157e3255561a
hex47229d4c20

305523412000 has 192 divisors, whose sum is σ = 756466270560. Its totient is φ = 121270272000.

The previous prime is 305523411979. The next prime is 305523412027. The reversal of 305523412000 is 214325503.

It can be written as a sum of positive squares in 16 ways, for example, as 71967719824 + 233555692176 = 268268^2 + 483276^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 536947716 + ... + 536948284.

Almost surely, 2305523412000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305523412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378233135280).

305523412000 is an abundant number, since it is smaller than the sum of its proper divisors (450942858560).

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

305523412000 is a wasteful number, since it uses less digits than its factorization.

305523412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 305523412000 its reverse (214325503), we get a palindrome (305737737503).

The spelling of 305523412000 in words is "three hundred five billion, five hundred twenty-three million, four hundred twelve thousand".