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11414113123041 = 334147409673797
BaseRepresentation
bin1010011000011000111000…
…1010000111101011100001
31111102011211011112222112000
42212012032022013223201
52444002100424414131
640135323212554213
72255433235512546
oct246061612075341
944364734488460
1011414113123041
113700775324562
12134416b482969
1364a46692ac75
142b6635c5abcd
1514bd920cdce6
hexa618e287ae1

11414113123041 has 128 divisors (see below), whose sum is σ = 17782677964800. Its totient is φ = 7228244459520.

The previous prime is 11414113123033. The next prime is 11414113123159. The reversal of 11414113123041 is 14032131141411.

11414113123041 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 41 + 1 + 312 + 304 + 1 = 666.

It is not a de Polignac number, because 11414113123041 - 23 = 11414113123033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11414113122996 and 11414113123014.

It is not an unprimeable number, because it can be changed into a prime (11414113123741) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14321346055 + ... + 14321346851.

It is an arithmetic number, because the mean of its divisors is an integer number (138927171600).

Almost surely, 211414113123041 is an apocalyptic number.

It is an amenable number.

11414113123041 is a deficient number, since it is larger than the sum of its proper divisors (6368564841759).

11414113123041 is a wasteful number, since it uses less digits than its factorization.

11414113123041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11414113123041 its reverse (14032131141411), we get a palindrome (25446244264452).

The spelling of 11414113123041 in words is "eleven trillion, four hundred fourteen billion, one hundred thirteen million, one hundred twenty-three thousand, forty-one".

Divisors: 1 3 9 27 41 47 123 141 369 409 423 673 797 1107 1227 1269 1927 2019 2391 3681 5781 6057 7173 11043 16769 17343 18171 19223 21519 27593 31631 32677 37459 50307 52029 57669 82779 94893 98031 112377 150921 173007 248337 275257 284679 294093 325973 337131 452763 519021 536381 745011 788143 825771 854037 882279 977919 1011393 1296871 1535819 1609143 2364429 2477313 2933757 3890613 4607457 4827429 7093287 7431939 8801271 11285537 11671839 12937079 13364893 13822371 14482287 15320731 21279861 21991621 25209907 33856611 35015517 38811237 40094679 41467113 45962193 65974863 75629721 101569833 116433711 120284037 137886579 197924589 219379829 226889163 304709499 349301133 360852111 413659737 530420239 593773767 628149971 658139487 680667489 1033606187 1591260717 1884449913 1974418461 3100818561 4773782151 5653349739 5923255383 8994572989 9302455683 10310851963 14321346453 16960049217 26983718967 27907367049 30932555889 80951156901 92797667667 242853470703 278393003001 422744930483 1268234791449 3804704374347 11414113123041