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41184048114 = 23211218909113
BaseRepresentation
bin100110010110110000…
…101011001111110010
310221022012001102011100
4212112300223033302
51133321104014424
630530353025230
72655402430056
oct462660531762
9127265042140
1041184048114
1116514359a00
127b94555216
133b64480051
141dc9947c66
151110920dc9
hex996c2b3f2

41184048114 has 36 divisors (see below), whose sum is σ = 98081574318. Its totient is φ = 12480013920.

The previous prime is 41184048109. The next prime is 41184048137.

41184048114 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 36823691025 + 4360357089 = 191895^2 + 66033^2 .

It is a super-2 number, since 2×411840481142 (a number of 22 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 9452379 + ... + 9456734.

Almost surely, 241184048114 is an apocalyptic number.

41184048114 is an abundant number, since it is smaller than the sum of its proper divisors (56897526204).

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

41184048114 is a wasteful number, since it uses less digits than its factorization.

41184048114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18909143 (or 18909129 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

It can be divided in two parts, 411840 and 48114, that added together give a palindrome (459954).

The spelling of 41184048114 in words is "forty-one billion, one hundred eighty-four million, forty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 18909113 37818226 56727339 113454678 170182017 208000243 340364034 416000486 624000729 1248001458 1872002187 2288002673 3744004374 4576005346 6864008019 13728016038 20592024057 41184048114