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412242142003013 = 7213767391247437
BaseRepresentation
bin101110110111011101001101…
…0011011110111111101000101
32000001121222000200020110200002
41131232322122123313331011
5413013133401323044023
64020433231532331045
7152555340403006400
oct13556723233677505
92001558020213602
10412242142003013
1110a397a02037263
123a29b357313a85
131490436201535a
1473b28aa176d37
15329d56e06cb28
hex176ee9a6f7f45

412242142003013 has 24 divisors (see below), whose sum is σ = 483765082085592. Its totient is φ = 350249998178304.

The previous prime is 412242142003009. The next prime is 412242142003037. The reversal of 412242142003013 is 310300241242214.

It can be written as a sum of positive squares in 4 ways, for example, as 14951817430564 + 397290324572449 = 3866758^2 + 19932143^2 .

It is not a de Polignac number, because 412242142003013 - 22 = 412242142003009 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 (412242142003313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41105870 + ... + 50141567.

It is an arithmetic number, because the mean of its divisors is an integer number (20156878420233).

Almost surely, 2412242142003013 is an apocalyptic number.

It is an amenable number.

412242142003013 is a deficient number, since it is larger than the sum of its proper divisors (71522940082579).

412242142003013 is a wasteful number, since it uses less digits than its factorization.

412242142003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91248261 (or 91248254 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 412242142003013 its reverse (310300241242214), we get a palindrome (722542383245227).

The spelling of 412242142003013 in words is "four hundred twelve trillion, two hundred forty-two billion, one hundred forty-two million, three thousand, thirteen".

Divisors: 1 7 49 137 673 959 4711 6713 32977 92201 645407 4517849 91247437 638732059 4471124413 12500898869 61409525101 87506292083 429866675707 612544044581 3009066729949 8413104938837 58891734571859 412242142003013