Search a number
-
+
3133041444 = 223413743837
BaseRepresentation
bin1011101010111110…
…0110101100100100
322002100100222220000
42322233212230210
522404024311234
61234515541300
7140432261421
oct27257465444
98070328800
103133041444
11136857a455
127352ba830
133ac1264a0
1421a158d48
151350c3899
hexbabe6b24

3133041444 has 60 divisors (see below), whose sum is σ = 8820431004. Its totient is φ = 964011456.

The previous prime is 3133041433. The next prime is 3133041449. The reversal of 3133041444 is 4441403313.

3133041444 is a `hidden beast` number, since 313 + 304 + 1 + 4 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 248062500 + 2884978944 = 15750^2 + 53712^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3133041449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 367707 + ... + 376130.

Almost surely, 23133041444 is an apocalyptic number.

It is an amenable number.

3133041444 is an abundant number, since it is smaller than the sum of its proper divisors (5687389560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133041444 is a wasteful number, since it uses less digits than its factorization.

3133041444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743866 (or 743855 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3133041444 is about 55973.5780882373. The cubic root of 3133041444 is about 1463.2618389748.

Adding to 3133041444 its reverse (4441403313), we get a palindrome (7574444757).

The spelling of 3133041444 in words is "three billion, one hundred thirty-three million, forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 743837 1487674 2231511 2975348 4463022 6694533 8926044 9669881 13389066 19339762 20083599 26778132 29009643 38679524 40167198 58019286 60250797 80334396 87028929 116038572 120501594 174057858 241003188 261086787 348115716 522173574 783260361 1044347148 1566520722 3133041444