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414320433132 = 223258411336121
BaseRepresentation
bin1100000011101110110…
…11000001011111101100
31110121102200222202012010
412001313123001133230
523242012012330012
6514200340441220
741635150400634
oct6016733013754
91417380882163
10414320433132
1114a7920a0801
126836b0a9210
13300bb450608
14160a604b6c4
15ab9dc24c3c
hex60776c17ec

414320433132 has 24 divisors (see below), whose sum is σ = 966785812272. Its totient is φ = 138101363200.

The previous prime is 414320433113. The next prime is 414320433143. The reversal of 414320433132 is 231334023414.

It is a happy number.

It is a super-2 number, since 2×4143204331322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414320433132.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357969 + ... + 978152.

It is an arithmetic number, because the mean of its divisors is an integer number (40282742178).

Almost surely, 2414320433132 is an apocalyptic number.

It is an amenable number.

414320433132 is an abundant number, since it is smaller than the sum of its proper divisors (552465379140).

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

414320433132 is a wasteful number, since it uses less digits than its factorization.

414320433132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361969 (or 1361967 counting only the distinct ones).

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

Adding to 414320433132 its reverse (231334023414), we get a palindrome (645654456546).

The spelling of 414320433132 in words is "four hundred fourteen billion, three hundred twenty million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 25841 51682 77523 103364 155046 310092 1336121 2672242 4008363 5344484 8016726 16033452 34526702761 69053405522 103580108283 138106811044 207160216566 414320433132