Search a number
-
+
1224401124141 = 34131497803853
BaseRepresentation
bin10001110100010011111…
…111100111101100101101
311100001101121201122120000
4101310103333213230231
5130030033141433031
62334252045214513
7154313541556446
oct21642377475455
94301347648500
101224401124141
114322a1572898
12179369561439
138b5caa2a1c0
144339313c2cd
1521cb20133e6
hex11d13fe7b2d

1224401124141 has 40 divisors (see below), whose sum is σ = 1982959301400. Its totient is φ = 748420622208.

The previous prime is 1224401124131. The next prime is 1224401124143. The reversal of 1224401124141 is 1414211044221.

1224401124141 is a `hidden beast` number, since 1 + 2 + 244 + 0 + 1 + 1 + 2 + 414 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1561040100 + 1222840084041 = 39510^2 + 1105821^2 .

It is not a de Polignac number, because 1224401124141 - 210 = 1224401123117 is a prime.

It is a super-2 number, since 2×12244011241412 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224401124143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3745030 + ... + 4058823.

It is an arithmetic number, because the mean of its divisors is an integer number (49573982535).

Almost surely, 21224401124141 is an apocalyptic number.

It is an amenable number.

1224401124141 is a deficient number, since it is larger than the sum of its proper divisors (758558177259).

1224401124141 is a wasteful number, since it uses less digits than its factorization.

1224401124141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804027 (or 7804018 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1224401124141 its reverse (1414211044221), we get a palindrome (2638612168362).

The spelling of 1224401124141 in words is "one trillion, two hundred twenty-four billion, four hundred one million, one hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 149 351 447 1053 1341 1937 4023 5811 12069 17433 52299 156897 7803853 23411559 70234677 101450089 210704031 304350267 632112093 913050801 1162774097 2739152403 3488322291 8217457209 10464966873 15116063261 31394900619 45348189783 94184701857 136044569349 408133708047 1224401124141