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434130034020 = 223526351075387
BaseRepresentation
bin1100101000101000010…
…10101001110101100100
31112111120021020201221220
412110110022221311210
524103044242042040
6531234145140340
743236101255244
oct6242412516544
91474507221856
10434130034020
111581280a5091
127017932a6b0
1331c27552c47
1417024d2db24
15b45cdd12d0
hex65142a9d64

434130034020 has 96 divisors (see below), whose sum is σ = 1220651486208. Its totient is φ = 115283839872.

The previous prime is 434130034007. The next prime is 434130034027. The reversal of 434130034020 is 20430031434.

It is not an unprimeable number, because it can be changed into a prime (434130034027) by changing a digit.

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, 80585767 + ... + 80591153.

It is an arithmetic number, because the mean of its divisors is an integer number (12715119648).

Almost surely, 2434130034020 is an apocalyptic number.

It is an amenable number.

434130034020 is an abundant number, since it is smaller than the sum of its proper divisors (786521452188).

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

434130034020 is a wasteful number, since it uses less digits than its factorization.

434130034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 434130034020 its reverse (20430031434), we get a palindrome (454560065454).

The spelling of 434130034020 in words is "four hundred thirty-four billion, one hundred thirty million, thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 263 526 789 1052 1315 1578 2630 3156 3945 5107 5260 5387 7890 10214 10774 15321 15780 16161 20428 21548 25535 26935 30642 32322 51070 53870 61284 64644 76605 80805 102140 107740 153210 161610 306420 323220 1343141 1416781 2686282 2833562 4029423 4250343 5372564 5667124 6715705 7083905 8058846 8500686 13431410 14167810 16117692 17001372 20147115 21251715 26862820 27511409 28335620 40294230 42503430 55022818 80588460 82534227 85006860 110045636 137557045 165068454 275114090 330136908 412671135 550228180 825342270 1650684540 7235500567 14471001134 21706501701 28942002268 36177502835 43413003402 72355005670 86826006804 108532508505 144710011340 217065017010 434130034020