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214443032412321 = 32312299773435403
BaseRepresentation
bin110000110000100011101000…
…110001011000000010100001
31001010021112221122012102111200
4300300203220301120002201
5211101413312244143241
62040025434042431413
763111666152236266
oct6060435061300241
91033245848172450
10214443032412321
1162367863307659
12200745b5802569
139286b77c25c1b
143ad515346526d
1519bd24e6b54b6
hexc308e8c580a1

214443032412321 has 48 divisors (see below), whose sum is σ = 321468066716160. Its totient is φ = 137605164526080.

The previous prime is 214443032412289. The next prime is 214443032412439. The reversal of 214443032412321 is 123214230344412.

214443032412321 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 4 + 3 + 0 + 324 + 1 + 2 + 321 = 666.

It is not a de Polignac number, because 214443032412321 - 25 = 214443032412289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214443032412221) by changing a digit.

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, 60703806 + ... + 64139208.

It is an arithmetic number, because the mean of its divisors is an integer number (6697251389920).

Almost surely, 2214443032412321 is an apocalyptic number.

It is an amenable number.

214443032412321 is a deficient number, since it is larger than the sum of its proper divisors (107025034303839).

214443032412321 is a wasteful number, since it uses less digits than its factorization.

214443032412321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436646 (or 3436643 counting only the distinct ones).

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

Adding to 214443032412321 its reverse (123214230344412), we get a palindrome (337657262756733).

The spelling of 214443032412321 in words is "two hundred fourteen trillion, four hundred forty-three billion, thirty-two million, four hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 31 93 229 279 687 977 2061 2931 7099 8793 21297 30287 63891 90861 223733 272583 671199 2013597 3435403 6935723 10306209 20807169 30918627 62421507 106497493 319492479 786707287 958477437 2360121861 3356388731 7080365583 10069166193 24387925897 30207498579 73163777691 104048050661 219491333073 312144151983 768613019399 936432455949 2305839058197 6917517174591 23827003601369 71481010804107 214443032412321