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412305211241 = 71147671739829
BaseRepresentation
bin1011111111111110100…
…11100011111101101001
31110102020020222212110022
411333333103203331221
523223400113224431
6513224351330225
741534210320310
oct5777723437551
91412206885408
10412305211241
111499485a7770
1267aa8220975
132cb59aa6921
1415d5454d277
15aad1d5707b
hex5fff4e3f69

412305211241 has 64 divisors (see below), whose sum is σ = 535949844480. Its totient is φ = 307926178560.

The previous prime is 412305211231. The next prime is 412305211271. The reversal of 412305211241 is 142112503214.

It is a happy number.

It is not a de Polignac number, because 412305211241 - 238 = 137427304297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 412305211241.

It is not an unprimeable number, because it can be changed into a prime (412305211211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41942915 + ... + 41952743.

It is an arithmetic number, because the mean of its divisors is an integer number (8374216320).

Almost surely, 2412305211241 is an apocalyptic number.

It is an amenable number.

412305211241 is a deficient number, since it is larger than the sum of its proper divisors (123644633239).

412305211241 is a wasteful number, since it uses less digits than its factorization.

412305211241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 412305211241 its reverse (142112503214), we get a palindrome (554417714455).

The spelling of 412305211241 in words is "four hundred twelve billion, three hundred five million, two hundred eleven thousand, two hundred forty-one".

Divisors: 1 7 11 47 67 77 173 329 469 517 737 1211 1903 3149 3619 5159 8131 9829 11591 13321 22043 34639 56917 68803 81137 89441 108119 127501 242473 461963 544777 626087 658543 756833 892507 1700417 3233741 3813439 4609801 5081593 5992547 7243973 11902919 18704587 30951521 35571151 41947829 50707811 79919599 113927939 130932109 216660647 340466731 559437193 797495573 879115589 1253207329 2383267117 5354613133 6153809123 8772451303 37482291931 58900744463 412305211241