Search a number
-
+
1144431012033 = 33419711064689
BaseRepresentation
bin10000101001110101011…
…001110110100011000001
311001101222100212001001000
4100221311121312203001
5122222243314341113
62233424440202213
7145453032045531
oct20516531664301
94041870761030
101144431012033
1140139451aa51
1216596b769369
1383bc4b5b33a
143d5683434c1
151eb8149a373
hex10a756768c1

1144431012033 has 32 divisors (see below), whose sum is σ = 1738596182400. Its totient is φ = 743578099200.

The previous prime is 1144431012017. The next prime is 1144431012071. The reversal of 1144431012033 is 3302101344411.

1144431012033 is a `hidden beast` number, since 1 + 1 + 4 + 443 + 10 + 1 + 203 + 3 = 666.

It is not a de Polignac number, because 1144431012033 - 24 = 1144431012017 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1144431011988 and 1144431012006.

It is not an unprimeable number, because it can be changed into a prime (1144431012533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542553 + ... + 1607241.

It is an arithmetic number, because the mean of its divisors is an integer number (54331130700).

Almost surely, 21144431012033 is an apocalyptic number.

It is an amenable number.

1144431012033 is a deficient number, since it is larger than the sum of its proper divisors (594165170367).

1144431012033 is a wasteful number, since it uses less digits than its factorization.

1144431012033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065710 (or 1065704 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1144431012033 its reverse (3302101344411), we get a palindrome (4446532356444).

The spelling of 1144431012033 in words is "one trillion, one hundred forty-four billion, four hundred thirty-one million, twelve thousand, thirty-three".

Divisors: 1 3 9 27 41 123 369 971 1107 2913 8739 26217 39811 119433 358299 1064689 1074897 3194067 9582201 28746603 43652249 130956747 392870241 1033813019 1178610723 3101439057 9304317171 27912951513 42386333779 127159001337 381477004011 1144431012033