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40414242341011 = 72111923330895483
BaseRepresentation
bin10010011000001101011001…
…00011110000000010010011
312022002120020000222021020211
421030012230203300002103
520244121332014403021
6221542014023144551
711340555412615600
oct1114065443600223
9168076200867224
1040414242341011
1111971647228030
124648673ba5157
13197207b7a5206
149da0b9dd96a7
154a1401b683e1
hex24c1ac8f0093

40414242341011 has 96 divisors (see below), whose sum is σ = 54244771027200. Its totient is φ = 29691087390720.

The previous prime is 40414242340957. The next prime is 40414242341047. The reversal of 40414242341011 is 11014324241404.

It is not a de Polignac number, because 40414242341011 - 227 = 40414108123283 is a prime.

It is a super-2 number, since 2×404142423410112 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40414242381011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7370823876 + ... + 7370829358.

It is an arithmetic number, because the mean of its divisors is an integer number (565049698200).

Almost surely, 240414242341011 is an apocalyptic number.

40414242341011 is a deficient number, since it is larger than the sum of its proper divisors (13830528686189).

40414242341011 is a wasteful number, since it uses less digits than its factorization.

40414242341011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8849 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 40414242341011 its reverse (11014324241404), we get a palindrome (51428566582415).

The spelling of 40414242341011 in words is "forty trillion, four hundred fourteen billion, two hundred forty-two million, three hundred forty-one thousand, eleven".

Divisors: 1 7 11 19 49 77 133 209 233 539 931 1463 1631 2563 3089 4427 5483 10241 11417 17941 21623 30989 33979 38381 48697 58691 60313 104177 125587 151361 216923 237853 268667 340879 410837 422191 645601 719737 729239 1145947 1277539 1664971 2386153 2875859 2955337 4519207 5038159 5104673 7917107 8021629 8942773 13675003 14052929 16936987 24273241 31634449 35267113 55419749 56151403 62599411 95725021 98370503 118558909 150425033 169912687 186306857 267005651 321802753 387938243 670075147 688593521 829912363 1052975231 1189388809 1304147999 1869039557 2252619271 3539830283 3946317971 7370826617 9129035993 13083276899 15768334897 24778811981 27624225797 43409497681 74980041449 173451683867 193369580579 303866483767 524860290143 824780455939 2127065386369 3674022031001 5773463191573 40414242341011