Search a number
-
+
1321444424340 = 223257341357913
BaseRepresentation
bin10011001110101100001…
…110011011101010010100
311200022212201211002011200
4103032230032123222110
5133122304233034330
62451021352032500
7164320424164065
oct23165416335224
94608781732150
101321444424340
1146a46aa22637
12194131092730
13977c4b06121
1447d5b62856c
15245918ada60
hex133ac39ba94

1321444424340 has 36 divisors (see below), whose sum is σ = 4008381421044. Its totient is φ = 352385179776.

The previous prime is 1321444424263. The next prime is 1321444424353. The reversal of 1321444424340 is 434244441231.

1321444424340 is a `hidden beast` number, since 1 + 3 + 214 + 4 + 4 + 4 + 2 + 434 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 915642299664 + 405802124676 = 956892^2 + 637026^2 .

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 = 1321444424295 and 1321444424304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3670678777 + ... + 3670679136.

Almost surely, 21321444424340 is an apocalyptic number.

1321444424340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321444424340 is an abundant number, since it is smaller than the sum of its proper divisors (2686936996704).

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

1321444424340 is a wasteful number, since it uses less digits than its factorization.

1321444424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341357928 (or 7341357923 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1321444424340 its reverse (434244441231), we get a palindrome (1755688865571).

The spelling of 1321444424340 in words is "one trillion, three hundred twenty-one billion, four hundred forty-four million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7341357913 14682715826 22024073739 29365431652 36706789565 44048147478 66072221217 73413579130 88096294956 110120368695 132144442434 146827158260 220240737390 264288884868 330361106085 440481474780 660722212170 1321444424340