Search a number
-
+
1331142024 = 2331710132303
BaseRepresentation
bin100111101010111…
…1001110110001000
310102202210000120110
41033111321312020
510211233021044
6340030554320
744662343352
oct11725716610
93382700513
101331142024
11623438783
123119689a0
13182a1ca04
14c8b0a0d2
157bce26b9
hex4f579d88

1331142024 has 64 divisors (see below), whose sum is σ = 3558608640. Its totient is φ = 413465600.

The previous prime is 1331142019. The next prime is 1331142091. The reversal of 1331142024 is 4202411331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25057 + ... + 57359.

It is an arithmetic number, because the mean of its divisors is an integer number (55603260).

Almost surely, 21331142024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779304320).

1331142024 is an abundant number, since it is smaller than the sum of its proper divisors (2227466616).

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

1331142024 is a wasteful number, since it uses less digits than its factorization.

1331142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32430 (or 32426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1331142024 is about 36484.8190895885. The cubic root of 1331142024 is about 1100.0391236773.

Adding to 1331142024 its reverse (4202411331), we get a palindrome (5533553355).

The spelling of 1331142024 in words is "one billion, three hundred thirty-one million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 303 404 408 606 808 1212 1717 2424 3434 5151 6868 10302 13736 20604 32303 41208 64606 96909 129212 193818 258424 387636 549151 775272 1098302 1647453 2196604 3262603 3294906 4393208 6525206 6589812 9787809 13050412 13179624 19575618 26100824 39151236 55464251 78302472 110928502 166392753 221857004 332785506 443714008 665571012 1331142024