Search a number
-
+
53814240001 is a prime number
BaseRepresentation
bin110010000111100101…
…000010001100000001
312010220101222122021001
4302013211002030001
51340202421140001
640415533532001
73613365330664
oct620745021401
9163811878231
1053814240001
1120905810015
12a51a344001
1350c8051882
14286712b6db
1515ee675001
hexc87942301

53814240001 has 2 divisors, whose sum is σ = 53814240002. Its totient is φ = 53814240000.

The previous prime is 53814239989. The next prime is 53814240019. The reversal of 53814240001 is 10004241835.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47541441600 + 6272798401 = 218040^2 + 79201^2 .

It is a cyclic number.

It is not a de Polignac number, because 53814240001 - 27 = 53814239873 is a prime.

It is not a weakly prime, because it can be changed into another prime (53814240091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26907120000 + 26907120001.

It is an arithmetic number, because the mean of its divisors is an integer number (26907120001).

Almost surely, 253814240001 is an apocalyptic number.

It is an amenable number.

53814240001 is a deficient number, since it is larger than the sum of its proper divisors (1).

53814240001 is an equidigital number, since it uses as much as digits as its factorization.

53814240001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 53814240001 its reverse (10004241835), we get a palindrome (63818481836).

The spelling of 53814240001 in words is "fifty-three billion, eight hundred fourteen million, two hundred forty thousand, one".