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40006064440625 = 55104597122393
BaseRepresentation
bin10010001100010101000110…
…10000101000010100110001
312020122112122102020111220112
421012022203100220110301
520220424404444100000
6221030310550151105
711266225366662443
oct1106124320502461
9166575572214815
1040006064440625
111182452746a078
1245a153a052495
13194272bb0677a
149c4437aa0493
154959b2333235
hex2462a3428531

40006064440625 has 24 divisors (see below), whose sum is σ = 50005266692472. Its totient is φ = 32004284080000.

The previous prime is 40006064440621. The next prime is 40006064440687. The reversal of 40006064440625 is 52604446060004.

It can be written as a sum of positive squares in 12 ways, for example, as 39613517081329 + 392547359296 = 6293927^2 + 626536^2 .

It is not a de Polignac number, because 40006064440625 - 22 = 40006064440621 is a prime.

It is a super-3 number, since 3×400060644406253 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40006064440621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326804429 + ... + 326926821.

It is an arithmetic number, because the mean of its divisors is an integer number (2083552778853).

Almost surely, 240006064440625 is an apocalyptic number.

It is an amenable number.

40006064440625 is a deficient number, since it is larger than the sum of its proper divisors (9999202251847).

40006064440625 is an equidigital number, since it uses as much as digits as its factorization.

40006064440625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227015 (or 226995 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 40006064440625 in words is "forty trillion, six billion, sixty-four million, four hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3125 104597 122393 522985 611965 2614925 3059825 13074625 15299125 65373125 76495625 326865625 382478125 12801940621 64009703105 320048515525 1600242577625 8001212888125 40006064440625