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413244202212 = 22324312717911743
BaseRepresentation
bin1100000001101110100…
…01100001110011100100
31110111122200212112220200
412000313101201303210
523232311003432322
6513501453230500
741566401522312
oct6006721416344
91414580775820
10413244202212
1114a28a640566
126810a792430
132cc794a279a
14160031390b2
15ab394d68ac
hex6037461ce4

413244202212 has 144 divisors (see below), whose sum is σ = 1083409367040. Its totient is φ = 132728186304.

The previous prime is 413244202183. The next prime is 413244202223. The reversal of 413244202212 is 212202442314.

It is a happy number.

413244202212 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 442 + 0 + 2 + 212 = 666.

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 47 ways as a sum of consecutive naturals, for example, 35184813 + ... + 35196555.

It is an arithmetic number, because the mean of its divisors is an integer number (7523676160).

Almost surely, 2413244202212 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 413244202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541704683520).

413244202212 is an abundant number, since it is smaller than the sum of its proper divisors (670165164828).

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

413244202212 is a wasteful number, since it uses less digits than its factorization.

413244202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 413244202212 its reverse (212202442314), we get a palindrome (625446644526).

The spelling of 413244202212 in words is "four hundred thirteen billion, two hundred forty-four million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 127 129 172 179 254 258 358 381 387 508 516 537 716 762 774 1074 1143 1524 1548 1611 2148 2286 3222 4572 5461 6444 7697 10922 11743 15394 16383 21844 22733 23091 23486 30788 32766 35229 45466 46182 46972 49149 65532 68199 69273 70458 90932 92364 98298 105687 136398 138546 140916 196596 204597 211374 272796 277092 409194 422748 504949 818388 977519 1009898 1491361 1514847 1955038 2019796 2101997 2932557 2982722 3029694 3910076 4203994 4474083 4544541 5865114 5965444 6059388 6305991 8407988 8797671 8948166 9089082 11730228 12611982 13422249 17595342 17896332 18178164 18917973 25223964 26844498 35190684 37835946 53688996 64128523 75671892 90385871 128257046 180771742 192385569 256514092 266953619 271157613 361543484 384771138 533907238 542315226 577156707 769542276 800860857 813472839 1067814476 1084630452 1154313414 1601721714 1626945678 2308626828 2402582571 3203443428 3253891356 4805165142 9610330284 11479005617 22958011234 34437016851 45916022468 68874033702 103311050553 137748067404 206622101106 413244202212