Search a number
-
+
14653411344 = 243211132194367
BaseRepresentation
bin11011010010110100…
…10101000000010000
31101211012222102102200
431221122111000100
5220002233130334
610422013243200
71026060640605
oct155132250020
941735872380
1014653411344
11623a517910
122a0b493500
1314c6ab8800
149d01a46ac
155ab6a1799
hex369695010

14653411344 has 720 divisors, whose sum is σ = 52957681920. Its totient is φ = 3736212480.

The previous prime is 14653411313. The next prime is 14653411349. The reversal of 14653411344 is 44311435641.

14653411344 is a `hidden beast` number, since 1 + 4 + 6 + 534 + 113 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (69120) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 14653411299 and 14653411308.

It is not an unprimeable number, because it can be changed into a prime (14653411349) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 218707599 + ... + 218707665.

It is an arithmetic number, because the mean of its divisors is an integer number (73552336).

Almost surely, 214653411344 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 14653411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26478840960).

14653411344 is an abundant number, since it is smaller than the sum of its proper divisors (38304270576).

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

14653411344 is a wasteful number, since it uses less digits than its factorization.

14653411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 14653411344 its reverse (44311435641), we get a palindrome (58964846985).

The spelling of 14653411344 in words is "fourteen billion, six hundred fifty-three million, four hundred eleven thousand, three hundred forty-four".