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301414430420 = 225113133369217
BaseRepresentation
bin1000110001011011011…
…00110011011011010100
31001211000002102112111222
410120231230303123110
514414244043233140
6350245021145512
730530221246235
oct4305554633324
91054002375458
10301414430420
11106913651864
124a4bb0bb298
1322566b9069c
1410834d2d08c
157c919545b5
hex462db336d4

301414430420 has 24 divisors (see below), whose sum is σ = 638571815784. Its totient is φ = 119498817536.

The previous prime is 301414430417. The next prime is 301414430437. The reversal of 301414430420 is 24034414103.

It can be written as a sum of positive squares in 4 ways, for example, as 33019977796 + 268394452624 = 181714^2 + 518068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 301414430420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66682349 + ... + 66686868.

It is an arithmetic number, because the mean of its divisors is an integer number (26607158991).

Almost surely, 2301414430420 is an apocalyptic number.

It is an amenable number.

301414430420 is an abundant number, since it is smaller than the sum of its proper divisors (337157385364).

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

301414430420 is a wasteful number, since it uses less digits than its factorization.

301414430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133369339 (or 133369337 counting only the distinct ones).

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

Adding to 301414430420 its reverse (24034414103), we get a palindrome (325448844523).

The spelling of 301414430420 in words is "three hundred one billion, four hundred fourteen million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 133369217 266738434 533476868 666846085 1333692170 2667384340 15070721521 30141443042 60282886084 75353607605 150707215210 301414430420