Search a number
-
+
240400141342177 is a prime number
BaseRepresentation
bin110110101010010010000101…
…000001110101010111100001
31011112012000210012002100220011
4312222102011001311113201
5223002203442140422202
62211142144511244521
7101431223415562555
oct6652220501652741
91145160705070804
10240400141342177
116a665144629233
1222b671a8b19741
13a41a836551bab
144351600d75865
151cbd55ccc3bd7
hexdaa4850755e1

240400141342177 has 2 divisors, whose sum is σ = 240400141342178. Its totient is φ = 240400141342176.

The previous prime is 240400141342043. The next prime is 240400141342181. The reversal of 240400141342177 is 771243141004042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141513007813776 + 98887133528401 = 11895924^2 + 9944201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240400141342177 is a prime.

It is not a weakly prime, because it can be changed into another prime (240400141342877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120200070671088 + 120200070671089.

It is an arithmetic number, because the mean of its divisors is an integer number (120200070671089).

Almost surely, 2240400141342177 is an apocalyptic number.

It is an amenable number.

240400141342177 is a deficient number, since it is larger than the sum of its proper divisors (1).

240400141342177 is an equidigital number, since it uses as much as digits as its factorization.

240400141342177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 240400141342177 in words is "two hundred forty trillion, four hundred billion, one hundred forty-one million, three hundred forty-two thousand, one hundred seventy-seven".