Search a number
-
+
13244152320 = 29335731883
BaseRepresentation
bin11000101010110100…
…11011101000000000
31021012000012122111000
430111122123220000
5204111000333240
610030112052000
7646126302660
oct142532335000
937160178430
1013244152320
115686a84733
122697534000
131330b47829
148d8d621a0
15527acd430
hex31569ba00

13244152320 has 640 divisors, whose sum is σ = 55562158080. Its totient is φ = 2926264320.

The previous prime is 13244152301. The next prime is 13244152333. The reversal of 13244152320 is 2325144231.

13244152320 is a `hidden beast` number, since 1 + 324 + 4 + 15 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×132441523202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998599 + ... + 14999481.

It is an arithmetic number, because the mean of its divisors is an integer number (86815872).

Almost surely, 213244152320 is an apocalyptic number.

13244152320 is a gapful number since it is divisible by the number (10) 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 13244152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27781079040).

13244152320 is an abundant number, since it is smaller than the sum of its proper divisors (42318005760).

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

13244152320 is an equidigital number, since it uses as much as digits as its factorization.

13244152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13244152320 its reverse (2325144231), we get a palindrome (15569296551).

The spelling of 13244152320 in words is "thirteen billion, two hundred forty-four million, one hundred fifty-two thousand, three hundred twenty".