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12142001000509 = 140961331405097
BaseRepresentation
bin1011000010110000011110…
…1010000001000000111101
31120222202121221000100012121
42300230013222001000331
53042413304224004014
641453542552202541
72362142050421362
oct260540752010075
946882557010177
1012142001000509
113961437029276
12144124b699451
136a0ca79b9443
142dd966c86469
15160c94651124
hexb0b07a8103d

12142001000509 has 8 divisors (see below), whose sum is σ = 12152608296120. Its totient is φ = 12131396530176.

The previous prime is 12142001000491. The next prime is 12142001000533. The reversal of 12142001000509 is 90500010024121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3832491405625 + 8309509594884 = 1957675^2 + 2882622^2 .

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 12142001000509 - 221 = 12141998903357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142001000539) 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, 7938849 + ... + 9343945.

It is an arithmetic number, because the mean of its divisors is an integer number (1519076037015).

Almost surely, 212142001000509 is an apocalyptic number.

It is an amenable number.

12142001000509 is a deficient number, since it is larger than the sum of its proper divisors (10607295611).

12142001000509 is a wasteful number, since it uses less digits than its factorization.

12142001000509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412639.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 12142001000509 in words is "twelve trillion, one hundred forty-two billion, one million, five hundred nine", and thus it is an aban number.

Divisors: 1 1409 6133 1405097 8641397 1979781673 8617459901 12142001000509