Search a number
-
+
442011140443261 is a prime number
BaseRepresentation
bin110010010000000011011110…
…1000000110100110001111101
32010222000212000100202010121001
41210200012331000310301331
5430413402303423141021
64204025040434410301
7162050152053504514
oct14440067500646175
92128025010663531
10442011140443261
11118924965634454
12416a8878730991
1315c8361940822c
147b2164bda167b
153617acddaa091
hex19201bd034c7d

442011140443261 has 2 divisors, whose sum is σ = 442011140443262. Its totient is φ = 442011140443260.

The previous prime is 442011140443219. The next prime is 442011140443267. The reversal of 442011140443261 is 162344041110244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246266137451161 + 195745002992100 = 15692869^2 + 13990890^2 .

It is a cyclic number.

It is not a de Polignac number, because 442011140443261 - 27 = 442011140443133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442011140443261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442011140443267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221005570221630 + 221005570221631.

It is an arithmetic number, because the mean of its divisors is an integer number (221005570221631).

Almost surely, 2442011140443261 is an apocalyptic number.

It is an amenable number.

442011140443261 is a deficient number, since it is larger than the sum of its proper divisors (1).

442011140443261 is an equidigital number, since it uses as much as digits as its factorization.

442011140443261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 442011140443261 in words is "four hundred forty-two trillion, eleven billion, one hundred forty million, four hundred forty-three thousand, two hundred sixty-one".