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413012343224 = 231383223214559
BaseRepresentation
bin1100000001010010111…
…01000011100110111000
31110111001112120220011202
412000221131003212320
523231322124440344
6513422451513332
741560554664505
oct6005135034670
91414045526152
10413012343224
1114a180778468
1268064bb8848
132cc40442310
1415dc04224ac
15ab23e8794e
hex60297439b8

413012343224 has 64 divisors (see below), whose sum is σ = 847803801600. Its totient is φ = 187479063936.

The previous prime is 413012343209. The next prime is 413012343239. The reversal of 413012343224 is 422343210314.

It is an interprime number because it is at equal distance from previous prime (413012343209) and next prime (413012343239).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1817657 + ... + 2032215.

It is an arithmetic number, because the mean of its divisors is an integer number (13246934400).

Almost surely, 2413012343224 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 413012343224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423901900800).

413012343224 is an abundant number, since it is smaller than the sum of its proper divisors (434791458376).

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

413012343224 is a wasteful number, since it uses less digits than its factorization.

413012343224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214884 (or 214880 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 413012343224 its reverse (422343210314), we get a palindrome (835355553538).

The spelling of 413012343224 in words is "four hundred thirteen billion, twelve million, three hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 83 104 166 223 332 446 664 892 1079 1784 2158 2899 4316 5798 8632 11596 18509 23192 37018 74036 148072 214559 240617 429118 481234 858236 962468 1716472 1924936 2789267 5578534 11157068 17808397 22314136 35616794 47846657 71233588 95693314 142467176 191386628 231509161 382773256 463018322 622006541 926036644 1244013082 1852073288 2488026164 3971272531 4976052328 7942545062 15885090124 31770180248 51626542903 103253085806 206506171612 413012343224