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412143341214 = 231137223756829
BaseRepresentation
bin1011111111101011010…
…10000100111010011110
31110101210222102000112010
411333311222010322132
523223032143404324
6513200330052050
741530203412113
oct5776552047236
91411728360463
10412143341214
11149875198390
1267a61b7a026
132cb323acc47
1415d3ac5490a
15aac2a30829
hex5ff5a84e9e

412143341214 has 64 divisors (see below), whose sum is σ = 927667722240. Its totient is φ = 120971387520.

The previous prime is 412143341149. The next prime is 412143341227.

It is a happy number.

412143341214 is nontrivially palindromic in base 10.

It is a congruent number.

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, 166152 + ... + 922980.

It is an arithmetic number, because the mean of its divisors is an integer number (14494808160).

Almost surely, 2412143341214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412143341214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463833861120).

412143341214 is an abundant number, since it is smaller than the sum of its proper divisors (515524381026).

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

412143341214 is a wasteful number, since it uses less digits than its factorization.

412143341214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757105.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 412143 and 341214, that added together give a palindrome (753357).

The spelling of 412143341214 in words is "four hundred twelve billion, one hundred forty-three million, three hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 223 407 446 669 814 1221 1338 2442 2453 4906 7359 8251 14718 16502 24753 49506 90761 181522 272283 544566 756829 1513658 2270487 4540974 8325119 16650238 24975357 28002673 49950714 56005346 84008019 168016038 168772867 308029403 337545734 506318601 616058806 924088209 1012637202 1848176418 1856501537 3713003074 5569504611 6244596079 11139009222 12489192158 18733788237 37467576474 68690556869 137381113738 206071670607 412143341214