Search a number
-
+
42144542401 = 1322131464929
BaseRepresentation
bin100111010000000000…
…101010111011000001
311000210010101120121211
4213100000222323001
51142303000324101
631205543450121
73021244462003
oct472000527301
9130703346554
1042144542401
111696754a535
128202156941
133c88467670
14207b330373
151169debc51
hex9d002aec1

42144542401 has 8 divisors (see below), whose sum is σ = 45406970280. Its totient is φ = 38885048832.

The previous prime is 42144542383. The next prime is 42144542411. The reversal of 42144542401 is 10424544124.

It can be written as a sum of positive squares in 4 ways, for example, as 8281182001 + 33863360400 = 91001^2 + 184020^2 .

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 42144542401 - 25 = 42144542369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42144542411) 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, 703696 + ... + 761233.

It is an arithmetic number, because the mean of its divisors is an integer number (5675871285).

Almost surely, 242144542401 is an apocalyptic number.

It is an amenable number.

42144542401 is a deficient number, since it is larger than the sum of its proper divisors (3262427879).

42144542401 is a wasteful number, since it uses less digits than its factorization.

42144542401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467155.

The product of its (nonzero) digits is 20480, while the sum is 31.

The spelling of 42144542401 in words is "forty-two billion, one hundred forty-four million, five hundred forty-two thousand, four hundred one".

Divisors: 1 13 2213 28769 1464929 19044077 3241887877 42144542401