Search a number
-
+
1335145461 = 31331671213
BaseRepresentation
bin100111110010100…
…1011001111110101
310110001022102020220
41033211023033311
510213244123321
6340252444553
745041356236
oct11745131765
93401272226
101335145461
11625722601
12313179759
131837c2000
14c946d08d
157c3339c6
hex4f94b3f5

1335145461 has 32 divisors (see below), whose sum is σ = 1941623040. Its totient is φ = 816034752.

The previous prime is 1335145451. The next prime is 1335145463. The reversal of 1335145461 is 1645415331.

It is a happy number.

It is not a de Polignac number, because 1335145461 - 25 = 1335145429 is a prime.

It is a super-2 number, since 2×13351454612 = 3565226804057805042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335145463) 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, 1100091 + ... + 1101303.

It is an arithmetic number, because the mean of its divisors is an integer number (60675720).

Almost surely, 21335145461 is an apocalyptic number.

It is an amenable number.

1335145461 is a deficient number, since it is larger than the sum of its proper divisors (606477579).

1335145461 is a wasteful number, since it uses less digits than its factorization.

1335145461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1396 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 1335145461 is about 36539.6423217305. The cubic root of 1335145461 is about 1101.1408167185.

The spelling of 1335145461 in words is "one billion, three hundred thirty-five million, one hundred forty-five thousand, four hundred sixty-one".

Divisors: 1 3 13 39 167 169 501 507 1213 2171 2197 3639 6513 6591 15769 28223 47307 84669 202571 204997 366899 607713 614991 1100697 2633423 2664961 7900269 7994883 34234499 102703497 445048487 1335145461