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40332232243341 = 331978620335757
BaseRepresentation
bin10010010101110100101000…
…11000000011100010001101
312021210201112121111122122000
421022322110120003202031
520241300402423241331
6221440212142142513
711331623212365123
oct1112722430034215
9167721477448560
1040332232243341
111193a892707905
1246347a6b81a39
13196740c09bbbc
149d613a2d7913
1549e201e900e6
hex24ae9460388d

40332232243341 has 16 divisors (see below), whose sum is σ = 62896268606400. Its totient is φ = 25472988784944.

The previous prime is 40332232243339. The next prime is 40332232243439. The reversal of 40332232243341 is 14334223223304.

40332232243341 is a `hidden beast` number, since 4 + 0 + 3 + 322 + 322 + 4 + 3 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 40332232243341 - 21 = 40332232243339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40332232243296 and 40332232243305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40332232243301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39310167366 + ... + 39310168391.

It is an arithmetic number, because the mean of its divisors is an integer number (3931016787900).

Almost surely, 240332232243341 is an apocalyptic number.

It is an amenable number.

40332232243341 is a deficient number, since it is larger than the sum of its proper divisors (22564036363059).

40332232243341 is a wasteful number, since it uses less digits than its factorization.

40332232243341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78620335785 (or 78620335779 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 40332232243341 its reverse (14334223223304), we get a palindrome (54666455466645).

The spelling of 40332232243341 in words is "forty trillion, three hundred thirty-two billion, two hundred thirty-two million, two hundred forty-three thousand, three hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 78620335757 235861007271 707583021813 1493786379383 2122749065439 4481359138149 13444077414447 40332232243341