Search a number
-
+
1147047104641 is a prime number
BaseRepresentation
bin10000101100010001010…
…101011101000010000001
311001122201200111022102211
4100230101111131002001
5122243123024322031
62234540212142121
7145604616342634
oct20542125350201
94048650438384
101147047104641
11402507207059
1216637b907941
1384220b47029
143d735973c1b
151ec85ea8bb1
hex10b1155d081

1147047104641 has 2 divisors, whose sum is σ = 1147047104642. Its totient is φ = 1147047104640.

The previous prime is 1147047104569. The next prime is 1147047104677. The reversal of 1147047104641 is 1464017407411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1086380951616 + 60666153025 = 1042296^2 + 246305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1147047104641 is a prime.

It is a super-3 number, since 3×11470471046413 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1147047104594 and 1147047104603.

It is not a weakly prime, because it can be changed into another prime (1147047174641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 573523552320 + 573523552321.

It is an arithmetic number, because the mean of its divisors is an integer number (573523552321).

Almost surely, 21147047104641 is an apocalyptic number.

It is an amenable number.

1147047104641 is a deficient number, since it is larger than the sum of its proper divisors (1).

1147047104641 is an equidigital number, since it uses as much as digits as its factorization.

1147047104641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 1147047104641 in words is "one trillion, one hundred forty-seven billion, forty-seven million, one hundred four thousand, six hundred forty-one".