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40775354063067 = 31314927770935729
BaseRepresentation
bin10010100010101110000000…
…11111101001100011011011
312100101002022112101102201010
421101113000133221203123
520321030411120004232
6222415534500425003
711405631166613151
oct1121270037514333
9170332275342633
1040775354063067
1111aa08043a2648
1246a66536a8163
13199a13a4872b0
14a0d7755013d1
154aa9d94790cc
hex2515c07e98db

40775354063067 has 64 divisors (see below), whose sum is σ = 59240054160000. Its totient is φ = 24798419509248.

The previous prime is 40775354063047. The next prime is 40775354063077. The reversal of 40775354063067 is 76036045357704.

It is a happy number.

40775354063067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40775354063067 - 28 = 40775354062811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40775354062998 and 40775354063016.

It is not an unprimeable number, because it can be changed into a prime (40775354063027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1141221859 + ... + 1141257587.

It is an arithmetic number, because the mean of its divisors is an integer number (925625846250).

Almost surely, 240775354063067 is an apocalyptic number.

40775354063067 is a deficient number, since it is larger than the sum of its proper divisors (18464700096933).

40775354063067 is a wasteful number, since it uses less digits than its factorization.

40775354063067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36880.

The product of its (nonzero) digits is 44452800, while the sum is 57.

The spelling of 40775354063067 in words is "forty trillion, seven hundred seventy-five billion, three hundred fifty-four million, sixty-three thousand, sixty-seven".

Divisors: 1 3 13 39 149 277 447 709 831 1937 2127 3601 5811 9217 10803 27651 35729 41273 105641 107187 123819 196393 316923 464477 536549 589179 1373333 1393431 1609647 2553109 4119999 5323621 7659327 9896933 15970863 25331861 29262557 29690799 69207073 75995583 87787671 128660129 207621219 329314193 380413241 385980387 987942579 1141239723 1474643017 3774447289 4423929051 7016925497 11323341867 19170359221 21050776491 49067814757 57511077663 91220031461 147203444271 273660094383 1045521899053 3136565697159 13591784687689 40775354063067