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42414141665115 = 33511109367771263
BaseRepresentation
bin10011010010011010011111…
…10110001110111101011011
312120011202022110101020212000
421221031033312032331123
521024403130231240430
6230112442050252043
711635214653445133
oct1151151766167533
9176152273336760
1042414141665115
11125728112655a0
12491018a287023
131a8883721a23c
14a68bd935dac3
154d8450daae60
hex26934fd8ef5b

42414141665115 has 128 divisors (see below), whose sum is σ = 83036128665600. Its totient is φ = 20369940549120.

The previous prime is 42414141665101. The next prime is 42414141665117. The reversal of 42414141665115 is 51156614141424.

42414141665115 is a `hidden beast` number, since 4 + 2 + 414 + 14 + 166 + 51 + 15 = 666.

It is not a de Polignac number, because 42414141665115 - 211 = 42414141663067 is a prime.

It is a super-3 number, since 3×424141416651153 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42414141665117) 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, 595141974 + ... + 595213236.

It is an arithmetic number, because the mean of its divisors is an integer number (648719755200).

Almost surely, 242414141665115 is an apocalyptic number.

42414141665115 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42414141665115 is a deficient number, since it is larger than the sum of its proper divisors (40621987000485).

42414141665115 is a wasteful number, since it uses less digits than its factorization.

42414141665115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75074 (or 75068 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 42414141665115 in words is "forty-two trillion, four hundred fourteen billion, one hundred forty-one million, six hundred sixty-five thousand, one hundred fifteen".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 109 135 165 297 327 495 545 981 1199 1485 1635 2943 3597 3677 4905 5995 10791 11031 14715 17985 18385 32373 33093 40447 53955 55155 71263 99279 121341 161865 165465 202235 213789 356315 364023 400793 496395 606705 641367 783893 1068945 1092069 1202379 1820115 1924101 2003965 2351679 3206835 3607137 3919465 4408723 5460345 6011895 7055037 7767667 9620505 10821411 11758395 13226169 18035685 21165111 22043615 23303001 35275185 38838335 39678507 54107055 66130845 69909003 85444337 105825555 116515005 119035521 198392535 209727009 256333011 262034051 349545015 427221685 595177605 768999033 786102153 1048635045 1281665055 1310170255 2306997099 2358306459 2882374561 3844995165 3930510765 7074919377 8647123683 11534985495 11791532295 14411872805 25941371049 28561711559 35374596885 43235618415 77824113147 85685134677 129706855245 142808557795 257055404031 314178827149 389120565735 428425673385 771166212093 942536481447 1285277020155 1570894135745 2827609444341 3855831060465 4712682407235 8482828333023 14138047221705 42414141665115