Search a number
-
+
302423424074000 = 2453229660313153
BaseRepresentation
bin100010011000011010111000…
…0110000111000000100010000
31110122210101201101220001120022
41010300311300300320010100
5304114401133030332000
62551111223020403012
7120462241242305105
oct10460656060700420
91418711641801508
10302423424074000
11883a8065800149
1229b038289a6468
13cc99539186828
14549752c406aac
1524e6ad98b1585
hex1130d70c38110

302423424074000 has 80 divisors (see below), whose sum is σ = 734453114931120. Its totient is φ = 120441118924800.

The previous prime is 302423424073951. The next prime is 302423424074021. The reversal of 302423424074000 is 470424324203.

It can be written as a sum of positive squares in 8 ways, for example, as 4246369091584 + 298177054982416 = 2060672^2 + 17267804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 329698577 + ... + 330614576.

It is an arithmetic number, because the mean of its divisors is an integer number (9180663936639).

Almost surely, 2302423424074000 is an apocalyptic number.

It is an amenable number.

302423424074000 is an abundant number, since it is smaller than the sum of its proper divisors (432029690857120).

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

302423424074000 is a wasteful number, since it uses less digits than its factorization.

302423424074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660313405 (or 660313389 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 35.

Adding to 302423424074000 its reverse (470424324203), we get a palindrome (302893848398203).

The spelling of 302423424074000 in words is "three hundred two trillion, four hundred twenty-three billion, four hundred twenty-four million, seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 229 250 400 458 500 916 1000 1145 1832 2000 2290 3664 4580 5725 9160 11450 18320 22900 28625 45800 57250 91600 114500 229000 458000 660313153 1320626306 2641252612 3301565765 5282505224 6603131530 10565010448 13206263060 16507828825 26412526120 33015657650 52825052240 66031315300 82539144125 132062630600 151211712037 165078288250 264125261200 302423424074 330156576500 604846848148 660313153000 756058560185 1209693696296 1320626306000 1512117120370 2419387392592 3024234240740 3780292800925 6048468481480 7560585601850 12096936962960 15121171203700 18901464004625 30242342407400 37802928009250 60484684814800 75605856018500 151211712037000 302423424074000