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412302401343 = 37726932027
BaseRepresentation
bin1011111111111110010…
…00110101111100111111
31110102020001201010000000
411333333020311330333
523223343403320333
6513224211205343
741534144405220
oct5777710657477
91412201633000
10412302401343
11149946a58638
1267aa72a6853
132cb59331971
1415d5401b247
15aad199e713
hex5fff235f3f

412302401343 has 32 divisors (see below), whose sum is σ = 706696414720. Its totient is φ = 235601363448.

The previous prime is 412302401297. The next prime is 412302401347. The reversal of 412302401343 is 343104203214.

412302401343 is a `hidden beast` number, since 4 + 12 + 302 + 4 + 0 + 1 + 343 = 666.

It is not a de Polignac number, because 412302401343 - 214 = 412302384959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412302401347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13450705 + ... + 13481322.

It is an arithmetic number, because the mean of its divisors is an integer number (22084262960).

Almost surely, 2412302401343 is an apocalyptic number.

412302401343 is a deficient number, since it is larger than the sum of its proper divisors (294394013377).

412302401343 is an frugal number, since it uses more digits than its factorization.

412302401343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26932055 (or 26932037 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 412302401343 its reverse (343104203214), we get a palindrome (755406604557).

The spelling of 412302401343 in words is "four hundred twelve billion, three hundred two million, four hundred one thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 2187 5103 15309 26932027 80796081 188524189 242388243 565572567 727164729 1696717701 2181494187 5090153103 6544482561 15270459309 19633447683 45811377927 58900343049 137434133781 412302401343