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14232142164240 = 243257111324137049
BaseRepresentation
bin1100111100011010110111…
…0001110011000100010000
31212101120122110100202112100
43033012231301303010100
53331134411343223430
650134053355200400
72666144515241160
oct317065561630420
955346573322470
1014232142164240
1145978aa247590
12171a34b746100
137c3115399a00
14372ba729c5a0
1519a326091960
hexcf1adc73110

14232142164240 has 1440 divisors, whose sum is σ = 66102231686400. Its totient is φ = 2663188070400.

The previous prime is 14232142164221. The next prime is 14232142164257. The reversal of 14232142164240 is 4246124123241.

14232142164240 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 1 + 4 + 2 + 1 + 642 + 4 + 0 = 666.

It is a super-2 number, since 2×142321421642402 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14232142164195 and 14232142164204.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 384125236 + ... + 384162284.

It is an arithmetic number, because the mean of its divisors is an integer number (45904327560).

Almost surely, 214232142164240 is an apocalyptic number.

14232142164240 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 14232142164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33051115843200).

14232142164240 is an abundant number, since it is smaller than the sum of its proper divisors (51870089522160).

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

14232142164240 is a wasteful number, since it uses less digits than its factorization.

14232142164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37153 (or 37131 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 14232142164240 its reverse (4246124123241), we get a palindrome (18478266287481).

The spelling of 14232142164240 in words is "fourteen trillion, two hundred thirty-two billion, one hundred forty-two million, one hundred sixty-four thousand, two hundred forty".