Search a number
-
+
15121230336 = 2934418893
BaseRepresentation
bin11100001010100101…
…11010101000000000
31110000211021002110000
432011102322220000
5221432013332321
610540244240000
71043501223432
oct160522725000
943024232400
1015121230336
11645a5a4183
122b200a0000
13156c9b3c94
14a36380652
155d77ae826
hex3854baa00

15121230336 has 200 divisors, whose sum is σ = 46238892084. Its totient is φ = 4916920320.

The previous prime is 15121230307. The next prime is 15121230343. The reversal of 15121230336 is 63303212151.

It can be written as a sum of positive squares in 2 ways, for example, as 11820038400 + 3301191936 = 108720^2 + 57456^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1695906 + ... + 1704798.

Almost surely, 215121230336 is an apocalyptic number.

15121230336 is a gapful number since it is divisible by the number (16) 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 15121230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23119446042).

15121230336 is an abundant number, since it is smaller than the sum of its proper divisors (31117661748).

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

15121230336 is an frugal number, since it uses more digits than its factorization.

15121230336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8964 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 15121230336 its reverse (63303212151), we get a palindrome (78424442487).

The spelling of 15121230336 in words is "fifteen billion, one hundred twenty-one million, two hundred thirty thousand, three hundred thirty-six".