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414114301212 = 223199569304771
BaseRepresentation
bin1100000011010110010…
…00101100010100011100
31110120220100010011100120
412001223020230110130
523241101230114322
6514124054354540
741630065324143
oct6015310542434
91416810104316
10414114301212
1114a6967aa847
126831205ba50
133008782a271
141608691075a
15ab8aaa8a5c
hex606b22c51c

414114301212 has 48 divisors (see below), whose sum is σ = 972832224000. Its totient is φ = 137102613120.

The previous prime is 414114301189. The next prime is 414114301217. The reversal of 414114301212 is 212103411414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414114301217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206387 + ... + 1511157.

It is an arithmetic number, because the mean of its divisors is an integer number (20267338000).

Almost surely, 2414114301212 is an apocalyptic number.

It is an amenable number.

414114301212 is an abundant number, since it is smaller than the sum of its proper divisors (558717922788).

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

414114301212 is a wasteful number, since it uses less digits than its factorization.

414114301212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305546 (or 305544 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 414114301212 its reverse (212103411414), we get a palindrome (626217712626).

The spelling of 414114301212 in words is "four hundred fourteen billion, one hundred fourteen million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 199 398 569 597 796 1138 1194 1707 2276 2388 3414 6828 113231 226462 304771 339693 452924 609542 679386 914313 1219084 1358772 1828626 3657252 60649429 121298858 173414699 181948287 242597716 346829398 363896574 520244097 693658796 727793148 1040488194 2080976388 34509525101 69019050202 103528575303 138038100404 207057150606 414114301212