Search a number
-
+
2230013411456 = 2717421979777
BaseRepresentation
bin100000011100110111001…
…010000100000010000000
321220012001110122210220012
4200130313022010002000
5243014031413131311
64424242022404052
7320053545146255
oct40346712040200
97805043583805
102230013411456
1178a81a486266
12300236b90628
1313239b962bbc
1479d0caab42c
153d01b32978b
hex20737284080

2230013411456 has 16 divisors (see below), whose sum is σ = 4442604843390. Its totient is φ = 1115006705664.

The previous prime is 2230013411453. The next prime is 2230013411459. The reversal of 2230013411456 is 6541143100322.

It is an interprime number because it is at equal distance from previous prime (2230013411453) and next prime (2230013411459).

It can be written as a sum of positive squares in only one way, i.e., 2021515240000 + 208498171456 = 1421800^2 + 456616^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2230013411453) 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, 8710989761 + ... + 8710990016.

Almost surely, 22230013411456 is an apocalyptic number.

It is an amenable number.

2230013411456 is a deficient number, since it is larger than the sum of its proper divisors (2212591431934).

2230013411456 is an equidigital number, since it uses as much as digits as its factorization.

2230013411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17421979791 (or 17421979779 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 2230013411456 its reverse (6541143100322), we get a palindrome (8771156511778).

The spelling of 2230013411456 in words is "two trillion, two hundred thirty billion, thirteen million, four hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 17421979777 34843959554 69687919108 139375838216 278751676432 557503352864 1115006705728 2230013411456