Search a number
-
+
321444134032 = 24723131309921
BaseRepresentation
bin1001010110101111001…
…00000011110010010000
31010201200222211220110111
410223113210003302100
520231304144242112
6403400331211104
732136454025500
oct4532744036220
91121628756414
10321444134032
1111436191961a
125236aba6a94
1324409768408
14117b5147a00
1585650db5a7
hex4ad7903c90

321444134032 has 60 divisors (see below), whose sum is σ = 726794502636. Its totient is φ = 137321533440.

The previous prime is 321444134029. The next prime is 321444134057. The reversal of 321444134032 is 230431444123.

It can be written as a sum of positive squares in 2 ways, for example, as 47052551056 + 274391582976 = 216916^2 + 523824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 321444133985 and 321444134003.

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 11 ways as a sum of consecutive naturals, for example, 409569 + ... + 900352.

Almost surely, 2321444134032 is an apocalyptic number.

It is an amenable number.

321444134032 is an abundant number, since it is smaller than the sum of its proper divisors (405350368604).

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

321444134032 is a wasteful number, since it uses less digits than its factorization.

321444134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310256 (or 1310243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 321444134032 its reverse (230431444123), we get a palindrome (551875578155).

The spelling of 321444134032 in words is "three hundred twenty-one billion, four hundred forty-four million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 313 392 626 784 1252 2191 2504 4382 5008 8764 15337 17528 30674 35056 61348 122696 245392 1309921 2619842 5239684 9169447 10479368 18338894 20958736 36677788 64186129 73355576 128372258 146711152 256744516 410005273 513489032 820010546 1026978064 1640021092 2870036911 3280042184 5740073822 6560084368 11480147644 20090258377 22960295288 40180516754 45920590576 80361033508 160722067016 321444134032