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214434423430312 = 23372334397082431
BaseRepresentation
bin110000110000011011100111…
…101000101101110010101000
31001010020201201122212211100011
4300300123213220231302220
5211101243144344232222
62040021451510221304
763111242625140341
oct6060334750556250
91033221648784304
10214434423430312
1162364145806a98
12200729b2654834
139286105490b27
143ad4977d570c8
1519bcde89c5c77
hexc306e7a2dca8

214434423430312 has 64 divisors (see below), whose sum is σ = 415648103270400. Its totient is φ = 103635101790720.

The previous prime is 214434423430301. The next prime is 214434423430319. The reversal of 214434423430312 is 213034324434412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214434423430319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26735737 + ... + 33818167.

It is an arithmetic number, because the mean of its divisors is an integer number (6494501613600).

Almost surely, 2214434423430312 is an apocalyptic number.

It is an amenable number.

214434423430312 is a deficient number, since it is larger than the sum of its proper divisors (201213679840088).

214434423430312 is a wasteful number, since it uses less digits than its factorization.

214434423430312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083146 (or 7083142 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 214434423430312 its reverse (213034324434412), we get a palindrome (427468747864724).

The spelling of 214434423430312 in words is "two hundred fourteen trillion, four hundred thirty-four billion, four hundred twenty-three million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 37 74 148 233 296 439 466 878 932 1756 1864 3512 8621 16243 17242 32486 34484 64972 68968 102287 129944 204574 409148 818296 3784619 7082431 7569238 14164862 15138476 28329724 30276952 56659448 262049947 524099894 1048199788 1650206423 2096399576 3109187209 3300412846 6218374418 6600825692 12436748836 13201651384 24873497672 61057637651 115039926733 122115275302 230079853466 244230550604 460159706932 488461101208 724440619697 920319413864 1448881239394 2897762478788 5795524957576 26804302928789 53608605857578 107217211715156 214434423430312