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41468886414 = 2334118730301
BaseRepresentation
bin100110100111101111…
…001111110110001110
310222001001000200212000
4212213233033312032
51134412013331124
631014530053130
72665431501324
oct464757176616
9128031020760
1041468886414
111665011815a
128053a1a1a6
133bab49ca17
1420156d1d14
15112a9376c9
hex9a7bcfd8e

41468886414 has 32 divisors (see below), whose sum is σ = 94400722080. Its totient is φ = 13485816000.

The previous prime is 41468886409. The next prime is 41468886439.

41468886414 is a `hidden beast` number, since 4 + 146 + 8 + 8 + 86 + 414 = 666.

41468886414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9362937 + ... + 9367364.

It is an arithmetic number, because the mean of its divisors is an integer number (2950022565).

Almost surely, 241468886414 is an apocalyptic number.

41468886414 is an abundant number, since it is smaller than the sum of its proper divisors (52931835666).

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

41468886414 is a wasteful number, since it uses less digits than its factorization.

41468886414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18730353 (or 18730347 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 41468886414 in words is "forty-one billion, four hundred sixty-eight million, eight hundred eighty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 18730301 37460602 56190903 112381806 168572709 337145418 505718127 767942341 1011436254 1535884682 2303827023 4607654046 6911481069 13822962138 20734443207 41468886414