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214232115312 = 243217797391499
BaseRepresentation
bin1100011110000100111…
…0101010100001110000
3202110222012112001102100
43013201032222201300
512002221410142222
6242230013420400
721322604635365
oct3074116524160
9673865461370
10214232115312
1182945498076
1235629a9a700
1317281a4b097
14a52433a46c
15588cb574ac
hex31e13aa870

214232115312 has 240 divisors, whose sum is σ = 644155200000. Its totient is φ = 66225309696.

The previous prime is 214232115301. The next prime is 214232115323. The reversal of 214232115312 is 213511232412.

It is a happy number.

214232115312 is a `hidden beast` number, since 2 + 1 + 4 + 232 + 115 + 312 = 666.

214232115312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214232115301) and next prime (214232115323).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142915939 + ... + 142917437.

It is an arithmetic number, because the mean of its divisors is an integer number (2683980000).

Almost surely, 2214232115312 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 214232115312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322077600000).

214232115312 is an abundant number, since it is smaller than the sum of its proper divisors (429923084688).

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

214232115312 is a wasteful number, since it uses less digits than its factorization.

214232115312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2339 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 214232115312 its reverse (213511232412), we get a palindrome (427743347724).

The spelling of 214232115312 in words is "two hundred fourteen billion, two hundred thirty-two million, one hundred fifteen thousand, three hundred twelve".