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434130331223241 = 321791091409960259
BaseRepresentation
bin110001010110101101101100…
…0001011011100010011001001
32002221010110021012211201001100
41202231123120023130103021
5423400242404243120431
64135152415414412013
7160304611212423522
oct14255333013342311
92087113235751040
10434130331223241
11116366704248364
1240835449661009
131583141216aa23
14792c03d3bd849
15352cad5d514e6
hex18ad6d82dc4c9

434130331223241 has 48 divisors (see below), whose sum is σ = 631322808480000. Its totient is φ = 287464631050080.

The previous prime is 434130331223213. The next prime is 434130331223333. The reversal of 434130331223241 is 142322133031434.

434130331223241 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 303 + 3 + 1 + 22 + 324 + 1 = 666.

It is not a de Polignac number, because 434130331223241 - 217 = 434130331092169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434130331223196 and 434130331223205.

It is not an unprimeable number, because it can be changed into a prime (434130331243241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7204376370 + ... + 7204436628.

It is an arithmetic number, because the mean of its divisors is an integer number (13152558510000).

Almost surely, 2434130331223241 is an apocalyptic number.

It is an amenable number.

434130331223241 is a deficient number, since it is larger than the sum of its proper divisors (197192477256759).

434130331223241 is a wasteful number, since it uses less digits than its factorization.

434130331223241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65634 (or 65631 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 434130331223241 its reverse (142322133031434), we get a palindrome (576452464254675).

The spelling of 434130331223241 in words is "four hundred thirty-four trillion, one hundred thirty billion, three hundred thirty-one million, two hundred twenty-three thousand, two hundred forty-one".

Divisors: 1 3 9 179 537 1091 1611 3273 4099 9819 12297 36891 60259 180777 195289 542331 585867 733721 1757601 2201163 4472009 6603489 10786361 13416027 32359083 40248081 65742569 97077249 197227707 247001641 591683121 741004923 800489611 2223014769 2401468833 7204406499 11767919851 35303759553 44213293739 105911278659 132639881217 269478790331 397919643651 808436370993 2425309112979 48236703469249 144710110407747 434130331223241