Search a number
-
+
301434221420 = 225531951145757
BaseRepresentation
bin1000110001011101110…
…00010011001101101100
31001211001110200000122222
410120232320103031230
514414314130041140
6350251005254512
730530551415033
oct4305670231554
91054043600588
10301434221420
1110692383a062
124a505864438
132256accc937
141083780171a
157c935635b5
hex462ee1336c

301434221420 has 48 divisors (see below), whose sum is σ = 645290489088. Its totient is φ = 118237267200.

The previous prime is 301434221411. The next prime is 301434221423. The reversal of 301434221420 is 24122434103.

It is a self number, because there is not a number n which added to its sum of digits gives 301434221420.

It is not an unprimeable number, because it can be changed into a prime (301434221423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1995182 + ... + 2140938.

It is an arithmetic number, because the mean of its divisors is an integer number (13443551856).

Almost surely, 2301434221420 is an apocalyptic number.

It is an amenable number.

301434221420 is an abundant number, since it is smaller than the sum of its proper divisors (343856267668).

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

301434221420 is a wasteful number, since it uses less digits than its factorization.

301434221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147770 (or 147768 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 301434221420 its reverse (24122434103), we get a palindrome (325556655523).

The spelling of 301434221420 in words is "three hundred one billion, four hundred thirty-four million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1951 3902 7804 9755 19510 39020 103403 145757 206806 291514 413612 517015 583028 728785 1034030 1457570 2068060 2915140 7725121 15450242 30900484 38625605 77251210 154502420 284371907 568743814 1137487628 1421859535 2843719070 5687438140 15071711071 30143422142 60286844284 75358555355 150717110710 301434221420