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414243402111 = 327112290318719
BaseRepresentation
bin1100000011100101101…
…01001011000101111111
31110121020100001011111100
412001302311023011333
523241332302331421
6514144545424143
741633223551460
oct6016265130577
91417210034440
10414243402111
1114a752668200
126834933b053
13300a84bc726
1416099b18d67
15ab970aac26
hex6072d4b17f

414243402111 has 72 divisors (see below), whose sum is σ = 751947356160. Its totient is φ = 215105758560.

The previous prime is 414243402073. The next prime is 414243402119. The reversal of 414243402111 is 111204342414.

414243402111 is a `hidden beast` number, since 4 + 1 + 4 + 243 + 402 + 1 + 11 = 666.

It is not a de Polignac number, because 414243402111 - 29 = 414243401599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414243402119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22120210 + ... + 22138928.

It is an arithmetic number, because the mean of its divisors is an integer number (10443713280).

Almost surely, 2414243402111 is an apocalyptic number.

414243402111 is a deficient number, since it is larger than the sum of its proper divisors (337703954049).

414243402111 is a wasteful number, since it uses less digits than its factorization.

414243402111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21657 (or 21643 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 414243402111 its reverse (111204342414), we get a palindrome (525447744525).

The spelling of 414243402111 in words is "four hundred fourteen billion, two hundred forty-three million, four hundred two thousand, one hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 2903 7623 8709 18719 20321 26127 31933 56157 60963 95799 131033 168471 182889 205909 223531 287397 351263 393099 617727 670593 1053789 1179297 1441363 1853181 2011779 2264999 2458841 3161367 4324089 6794997 7376523 12972267 15854993 20384991 22129569 47564979 54341257 142694937 163023771 380388799 489071313 597753827 1141166397 1793261481 3423499191 4184276789 5379784443 6575292097 12552830367 19725876291 37658491101 46027044679 59177628873 138081134037 414243402111