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40268058743241 = 337247647594261
BaseRepresentation
bin10010010011111101000110…
…10101100101000111001001
312021120120220020202002001000
421021332203111211013021
520234222441014240431
6221350520225245213
711324162014546500
oct1111764325450711
9167516806662030
1040268058743241
111191565141340a
124624277493809
131961352ab3b34
149d2dad449837
1549c6e81449e6
hex249fa35651c9

40268058743241 has 48 divisors (see below), whose sum is σ = 70872716033280. Its totient is φ = 22520737985760.

The previous prime is 40268058743239. The next prime is 40268058743281. The reversal of 40268058743241 is 14234785086204.

40268058743241 is a `hidden beast` number, since 4 + 0 + 26 + 8 + 0 + 587 + 4 + 32 + 4 + 1 = 666.

40268058743241 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 40268058743241 - 21 = 40268058743239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40268058743281) 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 47 ways as a sum of consecutive naturals, for example, 323734950 + ... + 323859311.

It is an arithmetic number, because the mean of its divisors is an integer number (1476514917360).

Almost surely, 240268058743241 is an apocalyptic number.

It is an amenable number.

40268058743241 is a deficient number, since it is larger than the sum of its proper divisors (30604657290039).

40268058743241 is a wasteful number, since it uses less digits than its factorization.

40268058743241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647594331 (or 647594318 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 40268058743241 in words is "forty trillion, two hundred sixty-eight billion, fifty-eight million, seven hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 47 49 63 141 147 189 329 423 441 987 1269 1323 2303 2961 6909 8883 20727 62181 647594261 1942782783 4533159827 5828348349 13599479481 17485045047 30436930267 31732118789 40798438443 91310790801 95196356367 122395315329 213058511869 273932372403 285589069101 639175535607 821797117209 856767207303 1491409583083 1917526606821 4474228749249 5752579820463 13422686247747 40268058743241