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40006066060004 = 22112437531889177
BaseRepresentation
bin10010001100010101000110…
…10110110011101011100100
312020122112122112021210021112
421012022203112303223210
520220424410402410004
6221030311045004152
711266225416515612
oct1106124326635344
9166575575253245
1040006066060004
1111824528375800
1245a153a6b3658
13194272c252895
149c4437da26b2
154959b2552e6e
hex2462a35b3ae4

40006066060004 has 36 divisors (see below), whose sum is σ = 76955616711372. Its totient is φ = 18184150237440.

The previous prime is 40006066060003. The next prime is 40006066060063.

It is a happy number.

40006066060004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 9497787095104 + 30508278964900 = 3081848^2 + 5523430^2 .

It is not an unprimeable number, because it can be changed into a prime (40006066060003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20231864 + ... + 22121040.

Almost surely, 240006066060004 is an apocalyptic number.

40006066060004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40006066060004 is a deficient number, since it is larger than the sum of its proper divisors (36949550651368).

40006066060004 is a wasteful number, since it uses less digits than its factorization.

40006066060004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932956 (or 1932943 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 40006066060004 in words is "forty trillion, six billion, sixty-six million, sixty thousand, four", and thus it is an eban number.

Divisors: 1 2 4 11 22 44 121 242 484 43753 87506 175012 481283 962566 1889177 1925132 3778354 5294113 7556708 10588226 20780947 21176452 41561894 83123788 228590417 457180834 914361668 82657161281 165314322562 330628645124 909228774091 1818457548182 3636915096364 10001516515001 20003033030002 40006066060004