Search a number
-
+
32420253441 = 3349267111593
BaseRepresentation
bin11110001100011001…
…011100111100000001
310002200102102111221110
4132030121130330001
51012344041102231
622521010313533
72225255415222
oct361431347401
9102612374843
1032420253441
111282742a294
1263495888a9
133098922624
1417d7a5b249
15c9b351046
hex78c65cf01

32420253441 has 16 divisors (see below), whose sum is σ = 43370835200. Its totient is φ = 21541645440.

The previous prime is 32420253431. The next prime is 32420253473. The reversal of 32420253441 is 14435202423.

It is not a de Polignac number, because 32420253441 - 29 = 32420252929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32420253399 and 32420253408.

It is not an unprimeable number, because it can be changed into a prime (32420253421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2790741 + ... + 2802333.

It is an arithmetic number, because the mean of its divisors is an integer number (2710677200).

Almost surely, 232420253441 is an apocalyptic number.

It is an amenable number.

32420253441 is a deficient number, since it is larger than the sum of its proper divisors (10950581759).

32420253441 is a wasteful number, since it uses less digits than its factorization.

32420253441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14616.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 32420253441 its reverse (14435202423), we get a palindrome (46855455864).

The spelling of 32420253441 in words is "thirty-two billion, four hundred twenty million, two hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 349 1047 2671 8013 11593 34779 932179 2796537 4045957 12137871 30964903 92894709 10806751147 32420253441