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41818051314 = 232137323910243
BaseRepresentation
bin100110111100100011…
…001101001011110010
310222221101001010001100
4212330203031023302
51141120410120224
631113321545230
73010201366644
oct467443151362
9128841033040
1041818051314
111680a221996
128130945216
133c35922a80
142049c22894
15114b408ac9
hex9bc8cd2f2

41818051314 has 96 divisors (see below), whose sum is σ = 99335658240. Its totient is φ = 12636497664.

The previous prime is 41818051283. The next prime is 41818051391. The reversal of 41818051314 is 41315081814.

41818051314 is a `hidden beast` number, since 418 + 180 + 51 + 3 + 14 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4077477 + ... + 4087719.

It is an arithmetic number, because the mean of its divisors is an integer number (1034746440).

Almost surely, 241818051314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41818051314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49667829120).

41818051314 is an abundant number, since it is smaller than the sum of its proper divisors (57517606926).

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

41818051314 is a wasteful number, since it uses less digits than its factorization.

41818051314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10576 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 41818051314 in words is "forty-one billion, eight hundred eighteen million, fifty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 239 438 478 657 717 949 1314 1434 1898 2151 2847 3107 4302 5694 6214 8541 9321 10243 17082 17447 18642 20486 27963 30729 34894 52341 55926 61458 92187 104682 133159 157023 184374 226811 266318 314046 399477 453622 680433 747739 798954 1198431 1360866 1495478 2041299 2243217 2396862 2448077 4082598 4486434 4896154 6729651 7344231 9720607 13459302 14688462 19441214 22032693 29161821 31825001 44065386 58323642 63650002 87485463 95475003 174970926 178709621 190950006 286425009 357419242 536128863 572850018 1072257726 1608386589 2323225073 3216773178 4646450146 6969675219 13939350438 20909025657 41818051314