Search a number
-
+
4042134020801 is a prime number
BaseRepresentation
bin111010110100100001111…
…101100110001011000001
3112022102110021021201122002
4322310201331212023001
51012211242302131201
612332533012153345
7565014564163652
oct72644175461301
915272407251562
104042134020801
111319294305068
12553486608855
1323423001aca6
14dd8d70d1529
1570229ec976b
hex3ad21f662c1

4042134020801 has 2 divisors, whose sum is σ = 4042134020802. Its totient is φ = 4042134020800.

The previous prime is 4042134020783. The next prime is 4042134020833. The reversal of 4042134020801 is 1080204312404.

4042134020801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3797899392400 + 244234628401 = 1948820^2 + 494201^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042134020801 - 26 = 4042134020737 is a prime.

It is a super-3 number, since 3×40421340208013 (a number of 39 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (4042134020861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021067010400 + 2021067010401.

It is an arithmetic number, because the mean of its divisors is an integer number (2021067010401).

Almost surely, 24042134020801 is an apocalyptic number.

It is an amenable number.

4042134020801 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042134020801 is an equidigital number, since it uses as much as digits as its factorization.

4042134020801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 4042134020801 in words is "four trillion, forty-two billion, one hundred thirty-four million, twenty thousand, eight hundred one".