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41344032114 = 232711182316363
BaseRepresentation
bin100110100000010010…
…111101110101110010
310221201100002102221200
4212200102331311302
51134133033011424
630554310032030
72662354321530
oct464022756562
9127640072850
1041344032114
11165966a0290
12801a048616
133b8b666438
142002cb1150
15111e9c38c9
hex9a04bdd72

41344032114 has 96 divisors (see below), whose sum is σ = 111750672384. Its totient is φ = 10732163040.

The previous prime is 41344032073. The next prime is 41344032193. The reversal of 41344032114 is 41123044314.

41344032114 is a `hidden beast` number, since 4 + 1 + 3 + 440 + 3 + 211 + 4 = 666.

41344032114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2518497 + ... + 2534859.

It is an arithmetic number, because the mean of its divisors is an integer number (1164069504).

Almost surely, 241344032114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41344032114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55875336192).

41344032114 is an abundant number, since it is smaller than the sum of its proper divisors (70406640270).

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

41344032114 is a wasteful number, since it uses less digits than its factorization.

41344032114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18212 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41344032114 its reverse (41123044314), we get a palindrome (82467076428).

The spelling of 41344032114 in words is "forty-one billion, three hundred forty-four million, thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 1823 3646 5469 10938 12761 16363 16407 20053 25522 32726 32814 38283 40106 49089 60159 76566 98178 114541 114849 120318 140371 147267 179993 180477 229082 229698 280742 294534 343623 359986 360954 421113 539979 687246 842226 1030869 1079958 1259951 1263339 1619937 2061738 2519902 2526678 3239874 3779853 7559706 11339559 22679118 29829749 59659498 89489247 178978494 208808243 268467741 328127239 417616486 536935482 626424729 656254478 984381717 1252849458 1879274187 1968763434 2296890673 2953145151 3758548374 4593781346 5906290302 6890672019 13781344038 20672016057 41344032114