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434123232420 = 2235191351328181
BaseRepresentation
bin1100101000100111100…
…00101101010010100100
31112111112210110011220210
412110103300231102210
524103041021414140
6531233343255420
743235656406433
oct6242360552244
91474483404823
10434123232420
11158124279a29
1270176baa570
1331c26011127
141702407d11a
15b45c4dad80
hex6513c2d4a4

434123232420 has 96 divisors (see below), whose sum is σ = 1279661201280. Its totient is φ = 109661230080.

The previous prime is 434123232407. The next prime is 434123232479. The reversal of 434123232420 is 24232321434.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 15390730 + ... + 15418910.

It is an arithmetic number, because the mean of its divisors is an integer number (13329804180).

Almost surely, 2434123232420 is an apocalyptic number.

It is an amenable number.

434123232420 is an abundant number, since it is smaller than the sum of its proper divisors (845537968860).

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

434123232420 is a wasteful number, since it uses less digits than its factorization.

434123232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41725 (or 41723 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 434123232420 its reverse (24232321434), we get a palindrome (458355553854).

The spelling of 434123232420 in words is "four hundred thirty-four billion, one hundred twenty-three million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 13513 27026 28181 40539 54052 56362 67565 81078 84543 112724 135130 140905 162156 169086 202695 256747 270260 281810 338172 405390 422715 513494 535439 563620 770241 810780 845430 1026988 1070878 1283735 1540482 1606317 1690860 2141756 2567470 2677195 3080964 3212634 3851205 5134940 5354390 6425268 7702410 8031585 10708780 15404820 16063170 32126340 380809853 761619706 1142429559 1523239412 1904049265 2284859118 3808098530 4569718236 5712147795 7235387207 7616197060 11424295590 14470774414 21706161621 22848591180 28941548828 36176936035 43412323242 72353872070 86824646484 108530808105 144707744140 217061616210 434123232420