Search a number
-
+
434580621344 = 25206323092851
BaseRepresentation
bin1100101001011110000…
…01100000100000100000
31112112201200002221120022
412110233001200200200
524110010114340334
6531351002533012
743253212222022
oct6245701404040
91475650087508
10434580621344
11158339482001
1270284207168
1331c999c706c
1417068b02012
15b48773882e
hex652f060820

434580621344 has 48 divisors (see below), whose sum is σ = 856666419840. Its totient is φ = 217014777600.

The previous prime is 434580621287. The next prime is 434580621347. The reversal of 434580621344 is 443126085434.

It is a junction number, because it is equal to n+sod(n) for n = 434580621295 and 434580621304.

It is not an unprimeable number, because it can be changed into a prime (434580621347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152429519 + ... + 152432369.

It is an arithmetic number, because the mean of its divisors is an integer number (17847217080).

Almost surely, 2434580621344 is an apocalyptic number.

It is an amenable number.

434580621344 is a deficient number, since it is larger than the sum of its proper divisors (422085798496).

434580621344 is a wasteful number, since it uses less digits than its factorization.

434580621344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233 (or 7225 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 434580621344 in words is "four hundred thirty-four billion, five hundred eighty million, six hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 2063 2309 2851 4126 4618 5702 8252 9236 11404 16504 18472 22808 33008 36944 45616 66016 73888 91232 4763467 5881613 6582959 9526934 11763226 13165918 19053868 23526452 26331836 38107736 47052904 52663672 76215472 94105808 105327344 152430944 188211616 210654688 13580644417 27161288834 54322577668 108645155336 217290310672 434580621344