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1331513442 = 232728137607
BaseRepresentation
bin100111101011101…
…0100100001100010
310102210110220001200
41033113110201202
510211331412232
6340042542030
744665451250
oct11727244142
93383426050
101331513442
11623671836
12311b07916
13182b1ca9c
14c8ba55d0
157bd6777c
hex4f5d4862

1331513442 has 48 divisors (see below), whose sum is σ = 3308902272. Its totient is φ = 379068480.

The previous prime is 1331513411. The next prime is 1331513461. The reversal of 1331513442 is 2443151331.

It is a happy number.

1331513442 is a `hidden beast` number, since 1 + 3 + 315 + 1 + 344 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16603 + ... + 54209.

It is an arithmetic number, because the mean of its divisors is an integer number (68935464).

Almost surely, 21331513442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331513442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654451136).

1331513442 is an abundant number, since it is smaller than the sum of its proper divisors (1977388830).

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

1331513442 is a wasteful number, since it uses less digits than its factorization.

1331513442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37903 (or 37900 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1331513442 is about 36489.9087694119. The cubic root of 1331513442 is about 1100.1414258934.

Adding to 1331513442 its reverse (2443151331), we get a palindrome (3774664773).

The spelling of 1331513442 in words is "one billion, three hundred thirty-one million, five hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 281 562 843 1686 1967 2529 3934 5058 5901 11802 17703 35406 37607 75214 112821 225642 263249 338463 526498 676926 789747 1579494 2369241 4738482 10567567 21135134 31702701 63405402 73972969 95108103 147945938 190216206 221918907 443837814 665756721 1331513442