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430124120420 = 225281154949409
BaseRepresentation
bin1100100001001010110…
…01010011100101100100
31112010020002102020120112
412100211121103211210
524021343233323140
6525332444352152
743034606461661
oct6204531234544
91463202366515
10430124120420
11156461941995
126b43b845658
1331739640977
1416b64cbaa68
15b2c638dc65
hex6425653964

430124120420 has 48 divisors (see below), whose sum is σ = 907078662000. Its totient is φ = 171323228160.

The previous prime is 430124120417. The next prime is 430124120431. The reversal of 430124120420 is 24021421034.

It can be written as a sum of positive squares in 8 ways, for example, as 6403840576 + 423720279844 = 80024^2 + 650938^2 .

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, 8680676 + ... + 8730084.

It is an arithmetic number, because the mean of its divisors is an integer number (18897472125).

Almost surely, 2430124120420 is an apocalyptic number.

It is an amenable number.

430124120420 is an abundant number, since it is smaller than the sum of its proper divisors (476954541580).

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

430124120420 is a wasteful number, since it uses less digits than its factorization.

430124120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51248 (or 51246 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 430124120420 its reverse (24021421034), we get a palindrome (454145541454).

The spelling of 430124120420 in words is "four hundred thirty billion, one hundred twenty-four million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 1549 2810 3098 5620 6196 7745 15490 30980 49409 98818 197636 247045 435269 494090 870538 988180 1741076 2176345 4352690 8705380 13883929 27767858 55535716 69419645 76534541 138839290 153069082 277678580 306138164 382672705 765345410 1530690820 21506206021 43012412042 86024824084 107531030105 215062060210 430124120420