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1331142444 = 2233731091549
BaseRepresentation
bin100111101010111…
…1001111100101100
310102202210001011000
41033111321330230
510211233024234
6340031000300
744662344522
oct11725717454
93382701130
101331142444
11623439025
12311969090
13182a1cc68
14c8b0a312
157bce2899
hex4f579f2c

1331142444 has 96 divisors (see below), whose sum is σ = 3532760000. Its totient is φ = 433340928.

The previous prime is 1331142431. The next prime is 1331142467. The reversal of 1331142444 is 4442411331.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 858582 + ... + 860130.

Almost surely, 21331142444 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 1331142444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766380000).

1331142444 is an abundant number, since it is smaller than the sum of its proper divisors (2201617556).

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

1331142444 is a wasteful number, since it uses less digits than its factorization.

1331142444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1736 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1331142444 is about 36484.8248454066. The cubic root of 1331142444 is about 1100.0392393716.

Adding to 1331142444 its reverse (4442411331), we get a palindrome (5773553775).

It can be divided in two parts, 13311 and 42444, that added together give a palindrome (55755).

The spelling of 1331142444 in words is "one billion, three hundred thirty-one million, one hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 109 146 218 219 292 327 436 438 654 657 876 981 1308 1314 1549 1962 1971 2628 2943 3098 3924 3942 4647 5886 6196 7884 7957 9294 11772 13941 15914 18588 23871 27882 31828 41823 47742 55764 71613 83646 95484 113077 143226 167292 168841 214839 226154 286452 337682 339231 429678 452308 506523 675364 678462 859356 1013046 1017693 1356924 1519569 2026092 2035386 3039138 3053079 4070772 4558707 6078276 6106158 9117414 12212316 12325393 18234828 24650786 36976179 49301572 73952358 110928537 147904716 221857074 332785611 443714148 665571222 1331142444