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212421440430 = 23253176136717
BaseRepresentation
bin1100010111010101001…
…1011111001110101110
3202022022000102020102200
43011311103133032232
511440014342043210
6241330212402330
721230000311023
oct3056523371656
9668260366380
10212421440430
11820a6402251
12352036163a6
1317053891224
14a3d1a8554a
1557d3be10c0
hex31754df3ae

212421440430 has 48 divisors (see below), whose sum is σ = 570111744384. Its totient is φ = 54818435520.

The previous prime is 212421440417. The next prime is 212421440459. The reversal of 212421440430 is 34044124212.

212421440430 is a `hidden beast` number, since 2 + 1 + 242 + 14 + 404 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212421440394 and 212421440403.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38065569 + ... + 38071148.

It is an arithmetic number, because the mean of its divisors is an integer number (11877328008).

Almost surely, 2212421440430 is an apocalyptic number.

212421440430 is an abundant number, since it is smaller than the sum of its proper divisors (357690303954).

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

212421440430 is a wasteful number, since it uses less digits than its factorization.

212421440430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76136761 (or 76136758 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 212421440430 its reverse (34044124212), we get a palindrome (246465564642).

The spelling of 212421440430 in words is "two hundred twelve billion, four hundred twenty-one million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 76136717 152273434 228410151 380683585 456820302 685230453 761367170 1142050755 1370460906 2284101510 2360238227 3426152265 4720476454 6852304530 7080714681 11801191135 14161429362 21242144043 23602382270 35403573405 42484288086 70807146810 106210720215 212421440430