Search a number
-
+
1330324314444 = 2232157123522249
BaseRepresentation
bin10011010110111101100…
…000100001100101001100
311201011210120220020101100
4103112331200201211030
5133244001011030234
62455050442543100
7165053451045366
oct23267540414514
94634716806340
101330324314444
11473207437494
121959aab07a90
13985ab721478
1448560ad5d36
1524911262399
hex135bd82194c

1330324314444 has 36 divisors (see below), whose sum is σ = 3364904907000. Its totient is φ = 443159152320.

The previous prime is 1330324314427. The next prime is 1330324314457. The reversal of 1330324314444 is 4444134230331.

1330324314444 is a `hidden beast` number, since 1 + 330 + 3 + 2 + 4 + 314 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1330324314399 and 1330324314408.

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 11 ways as a sum of consecutive naturals, for example, 11704569 + ... + 11817680.

It is an arithmetic number, because the mean of its divisors is an integer number (93469580750).

Almost surely, 21330324314444 is an apocalyptic number.

It is an amenable number.

1330324314444 is an abundant number, since it is smaller than the sum of its proper divisors (2034580592556).

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

1330324314444 is a wasteful number, since it uses less digits than its factorization.

1330324314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23523830 (or 23523825 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 1330324314444 its reverse (4444134230331), we get a palindrome (5774458544775).

The spelling of 1330324314444 in words is "one trillion, three hundred thirty billion, three hundred twenty-four million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1571 3142 4713 6284 9426 14139 18852 28278 56556 23522249 47044498 70566747 94088996 141133494 211700241 282266988 423400482 846800964 36953453179 73906906358 110860359537 147813812716 221720719074 332581078611 443441438148 665162157222 1330324314444