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41806440324099 = 32112412716465791
BaseRepresentation
bin10011000000101110100100…
…00001100101110000000011
312111000122201201002112120100
421200113102001211300003
520434424042210332344
6224525340305413443
711543262364332633
oct1140272201456003
9174018651075510
1041806440324099
1112359014742560
12483245033a283
131a4343ab98219
14a4762a3566c3
154c7734d89569
hex2605d2065c03

41806440324099 has 48 divisors (see below), whose sum is σ = 66394269646848. Its totient is φ = 25138991520000.

The previous prime is 41806440324079. The next prime is 41806440324101. The reversal of 41806440324099 is 99042304460814.

41806440324099 is a `hidden beast` number, since 4 + 1 + 80 + 6 + 440 + 32 + 4 + 0 + 99 = 666.

It is a Cunningham number, because it is equal to 64657902-1.

It is not a de Polignac number, because 41806440324099 - 219 = 41806439799811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41806440324029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3232894 + ... + 9698684.

It is an arithmetic number, because the mean of its divisors is an integer number (1383213950976).

Almost surely, 241806440324099 is an apocalyptic number.

41806440324099 is a deficient number, since it is larger than the sum of its proper divisors (24587829322749).

41806440324099 is a wasteful number, since it uses less digits than its factorization.

41806440324099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466320 (or 6466317 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 41806440324099 in words is "forty-one trillion, eight hundred six billion, four hundred forty million, three hundred twenty-four thousand, ninety-nine".

Divisors: 1 3 9 11 33 99 241 271 723 813 2169 2439 2651 2981 7953 8943 23859 26829 65311 195933 587799 718421 2155263 6465789 6465791 19397373 58192119 71123701 213371103 640113309 1558255631 1752229361 4674766893 5256688083 14024300679 15770064249 17140811941 19274522971 51422435823 57823568913 154267307469 173470706739 422287276001 1266861828003 3800585484009 4645160036011 13935480108033 41806440324099