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321414243143112 = 2332728310861207481
BaseRepresentation
bin100100100010100110001010…
…1110010011100110111001000
31120011000220100020101112012200
41021011030111302130313020
5314112022332221034422
63055331355341040200
7124462261401053430
oct11105142562346710
91504026306345180
10321414243143112
119345a019002aa9
1230070297856060
1310a463050b2c42
145952764b892c0
152725ac6eb52ac
hex1245315c9cdc8

321414243143112 has 192 divisors, whose sum is σ = 998465728191360. Its totient is φ = 91499277542400.

The previous prime is 321414243143107. The next prime is 321414243143117. The reversal of 321414243143112 is 211341342414123.

321414243143112 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 1 + 4 + 24 + 314 + 311 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (321414243143107) and next prime (321414243143117).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (321414243143117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549022412 + ... + 1549229892.

It is an arithmetic number, because the mean of its divisors is an integer number (5200342334330).

Almost surely, 2321414243143112 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 321414243143112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499232864095680).

321414243143112 is an abundant number, since it is smaller than the sum of its proper divisors (677051485048248).

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

321414243143112 is a wasteful number, since it uses less digits than its factorization.

321414243143112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218644 (or 218637 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 321414243143112 its reverse (211341342414123), we get a palindrome (532755585557235).

The spelling of 321414243143112 in words is "three hundred twenty-one trillion, four hundred fourteen billion, two hundred forty-three million, one hundred forty-three thousand, one hundred twelve".