Search a number
-
+
42123014313 = 3414615711301
BaseRepresentation
bin100111001110101110…
…100011000010101001
311000201121212211122020
4213032232203002221
51142231442424223
631203454215053
73020563466622
oct471656430251
9130647784566
1042123014313
1116956386126
1281b6ab4489
133c83b6a853
142078528a49
1511680981e3
hex9ceba30a9

42123014313 has 32 divisors (see below), whose sum is σ = 57804050304. Its totient is φ = 27268800000.

The previous prime is 42123014299. The next prime is 42123014387. The reversal of 42123014313 is 31341032124.

It is a happy number.

42123014313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42123014313 - 217 = 42122883241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42123014393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32376763 + ... + 32378063.

It is an arithmetic number, because the mean of its divisors is an integer number (1806376572).

Almost surely, 242123014313 is an apocalyptic number.

It is an amenable number.

42123014313 is a deficient number, since it is larger than the sum of its proper divisors (15681035991).

42123014313 is a wasteful number, since it uses less digits than its factorization.

42123014313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42123014313 its reverse (31341032124), we get a palindrome (73464046437).

The spelling of 42123014313 in words is "forty-two billion, one hundred twenty-three million, fourteen thousand, three hundred thirteen".

Divisors: 1 3 41 123 461 571 1301 1383 1713 3903 18901 23411 53341 56703 70233 160023 263231 599761 742871 789693 1799283 2228613 10792471 24590201 30457711 32377413 73770603 91373133 342463531 1027390593 14041004771 42123014313