Search a number
-
+
42144065473 = 2931149314623
BaseRepresentation
bin100111001111111110…
…110110011111000001
311000210002111100101211
4213033332312133001
51142302340043343
631205525330121
73021240434356
oct471776663701
9130702440354
1042144065473
1116967254184
128201b66941
133c8832b563
14207b24862d
151169d5579d
hex9cffb67c1

42144065473 has 16 divisors (see below), whose sum is σ = 45305856000. Its totient is φ = 39113807040.

The previous prime is 42144065443. The next prime is 42144065507. The reversal of 42144065473 is 37456044124.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42144065473 is a prime.

It is a super-2 number, since 2×421440654732 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42144065443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23361 + ... + 291262.

It is an arithmetic number, because the mean of its divisors is an integer number (2831616000).

Almost surely, 242144065473 is an apocalyptic number.

It is an amenable number.

42144065473 is a deficient number, since it is larger than the sum of its proper divisors (3161790527).

42144065473 is a wasteful number, since it uses less digits than its factorization.

42144065473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314832.

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 42144065473 in words is "forty-two billion, one hundred forty-four million, sixty-five thousand, four hundred seventy-three".

Divisors: 1 29 31 149 899 4321 4619 133951 314623 9124067 9753313 46878827 282846077 1359485983 1453243637 42144065473