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414330412332 = 2231731602910867
BaseRepresentation
bin1100000011110000000…
…01000101110100101100
31110121110101202202002010
412001320001011310230
523242022041143312
6514201334401220
741635331252544
oct6017001056454
91417411682063
10414330412332
1114a797797281
1268372500210
13300c0535875
14160a74c8324
15ab9ea4693c
hex6078045d2c

414330412332 has 96 divisors (see below), whose sum is σ = 1056932997120. Its totient is φ = 125760476160.

The previous prime is 414330412303. The next prime is 414330412343. The reversal of 414330412332 is 233214033414.

Adding to 414330412332 its reverse (233214033414), we get a palindrome (647544445746).

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414330412332.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38121963 + ... + 38132829.

It is an arithmetic number, because the mean of its divisors is an integer number (11009718720).

Almost surely, 2414330412332 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 414330412332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528466498560).

414330412332 is an abundant number, since it is smaller than the sum of its proper divisors (642602584788).

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

414330412332 is a wasteful number, since it uses less digits than its factorization.

414330412332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16951 (or 16949 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 414330412332 in words is "four hundred fourteen billion, three hundred thirty million, four hundred twelve thousand, three hundred thirty-two".