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40106085342678 = 23223269360128633
BaseRepresentation
bin10010001111001111011001…
…11110000101110111010110
312021000002211001012210101100
421013213230332011313112
520224044230321431203
6221144251541210530
711306366116425045
oct1107475476056726
9167002731183340
1040106085342678
11118629936811a3
1245b89b2a00a46
13194bcaba54094
149c920580255c
154983b82eaea3
hex2479ecf85dd6

40106085342678 has 48 divisors (see below), whose sum is σ = 91011708384480. Its totient is φ = 12739910485632.

The previous prime is 40106085342649. The next prime is 40106085342679. The reversal of 40106085342678 is 87624358060104.

It is a happy number.

40106085342678 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 608 + 5 + 3 + 4 + 26 + 7 + 8 = 666.

It is a super-2 number, since 2×401060853426782 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40106085342679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179952951 + ... + 180175682.

It is an arithmetic number, because the mean of its divisors is an integer number (1896077258010).

Almost surely, 240106085342678 is an apocalyptic number.

40106085342678 is an abundant number, since it is smaller than the sum of its proper divisors (50905623041802).

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

40106085342678 is a wasteful number, since it uses less digits than its factorization.

40106085342678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360128933 (or 360128930 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40106085342678 in words is "forty trillion, one hundred six billion, eighty-five million, three hundred forty-two thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 269 414 538 807 1614 2421 4842 6187 12374 18561 37122 55683 111366 360128633 720257266 1080385899 2160771798 3241157697 6482315394 8282958559 16565917118 24848875677 49697751354 74546627031 96874602277 149093254062 193749204554 290623806831 581247613662 871871420493 1743742840986 2228115852371 4456231704742 6684347557113 13368695114226 20053042671339 40106085342678