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414311212104 = 23320398466389
BaseRepresentation
bin1100000011101101101…
…11110110010001001000
31110121102001122021022120
412001312313312101020
523242002132241404
6514155411051240
741635006124316
oct6016667662110
91417361567276
10414311212104
1114a787972919
1268367ba0b20
13300b957249a
14160a4b2b0b6
15ab9d0029d9
hex6076df6448

414311212104 has 32 divisors (see below), whose sum is σ = 1036286136000. Its totient is φ = 138035989952.

The previous prime is 414311212087. The next prime is 414311212157. The reversal of 414311212104 is 401212113414.

It is a happy number.

It is a super-2 number, since 2×4143112121042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4184259 + ... + 4282130.

It is an arithmetic number, because the mean of its divisors is an integer number (32383941750).

Almost surely, 2414311212104 is an apocalyptic number.

It is an amenable number.

414311212104 is an abundant number, since it is smaller than the sum of its proper divisors (621974923896).

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

414311212104 is a wasteful number, since it uses less digits than its factorization.

414311212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8468437 (or 8468433 counting only the distinct ones).

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

Adding to 414311212104 its reverse (401212113414), we get a palindrome (815523325518).

The spelling of 414311212104 in words is "four hundred fourteen billion, three hundred eleven million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 2039 4078 6117 8156 12234 16312 24468 48936 8466389 16932778 25399167 33865556 50798334 67731112 101596668 203193336 17262967171 34525934342 51788901513 69051868684 103577803026 138103737368 207155606052 414311212104