Search a number
-
+
13244413410 = 23351947163337
BaseRepresentation
bin11000101010110110…
…11011010111100010
31021012000200220122000
430111123123113202
5204111032212120
610030121424430
7646131441114
oct142533332742
937160626560
1013244413410
115687142908
12269763b116
131330c09617
148d8dcd3b4
15527b30990
hex3156db5e2

13244413410 has 256 divisors, whose sum is σ = 38314598400. Its totient is φ = 3245018112.

The previous prime is 13244413387. The next prime is 13244413417. The reversal of 13244413410 is 1431444231.

13244413410 is a `hidden beast` number, since 1 + 3 + 244 + 4 + 1 + 3 + 410 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13244413417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39300762 + ... + 39301098.

It is an arithmetic number, because the mean of its divisors is an integer number (149666400).

Almost surely, 213244413410 is an apocalyptic number.

13244413410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13244413410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157299200).

13244413410 is an abundant number, since it is smaller than the sum of its proper divisors (25070184990).

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

13244413410 is a wasteful number, since it uses less digits than its factorization.

13244413410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13244413410 its reverse (1431444231), we get a palindrome (14675857641).

The spelling of 13244413410 in words is "thirteen billion, two hundred forty-four million, four hundred thirteen thousand, four hundred ten".