Search a number
-
+
14243432144310 = 2325248096379151
BaseRepresentation
bin1100111101000100111010…
…1101101001110110110110
31212102122210021110011122100
43033101032231221312312
53331331022112104220
650143201542442530
73000024345422025
oct317211655516666
955378707404570
1014243432144310
1145a1673135726
121720580733446
137c41c43c44a5
143735588948bc
1519a787310d90
hexcf44eb69db6

14243432144310 has 48 divisors (see below), whose sum is σ = 37034422102080. Its totient is φ = 3798094876800.

The previous prime is 14243432144257. The next prime is 14243432144311. The reversal of 14243432144310 is 1344123434241.

14243432144310 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 4 + 3 + 214 + 431 + 0 = 666.

It is a super-2 number, since 2×142434321443102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14243432144311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956766 + ... + 5422385.

It is an arithmetic number, because the mean of its divisors is an integer number (771550460460).

Almost surely, 214243432144310 is an apocalyptic number.

14243432144310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14243432144310 is an abundant number, since it is smaller than the sum of its proper divisors (22790989957770).

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

14243432144310 is a wasteful number, since it uses less digits than its factorization.

14243432144310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403973 (or 6403970 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14243432144310 its reverse (1344123434241), we get a palindrome (15587555578551).

It can be divided in two parts, 1424343 and 2144310, that added together give a palindrome (3568653).

The spelling of 14243432144310 in words is "fourteen trillion, two hundred forty-three billion, four hundred thirty-two million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 24809 49618 74427 124045 148854 223281 248090 372135 446562 744270 1116405 2232810 6379151 12758302 19137453 31895755 38274906 57412359 63791510 95687265 114824718 191374530 287061795 574123590 158260357159 316520714318 474781071477 791301785795 949562142954 1424343214431 1582603571590 2373905357385 2848686428862 4747810714770 7121716072155 14243432144310