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40105735321841 = 714419397350077
BaseRepresentation
bin10010001111001110110000…
…00110110111100011110001
312021000001220122120220001122
421013213120012313203301
520224043021220244331
6221144153115112025
711306354336333120
oct1107473006674361
9167001818526048
1040105735321841
1111862824042382
1245b8915742615
13194bc54391567
149c91b112bab7
1549839770b17b
hex2479d81b78f1

40105735321841 has 8 divisors (see below), whose sum is σ = 45838304998080. Its totient is φ = 34373960374608.

The previous prime is 40105735321837. The next prime is 40105735321909. The reversal of 40105735321841 is 14812353750104.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40105735321841 - 22 = 40105735321837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40105735321792 and 40105735321801.

It is not an unprimeable number, because it can be changed into a prime (40105735326841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198574106 + ... + 198775971.

It is an arithmetic number, because the mean of its divisors is an integer number (5729788124760).

Almost surely, 240105735321841 is an apocalyptic number.

It is an amenable number.

40105735321841 is a deficient number, since it is larger than the sum of its proper divisors (5732569676239).

40105735321841 is a wasteful number, since it uses less digits than its factorization.

40105735321841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397364503.

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 40105735321841 in words is "forty trillion, one hundred five billion, seven hundred thirty-five million, three hundred twenty-one thousand, eight hundred forty-one".

Divisors: 1 7 14419 100933 397350077 2781450539 5729390760263 40105735321841