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241323650060 = 2251922723312007
BaseRepresentation
bin1110000011000000000…
…0101010110000001100
3212001220021000121112012
43200300000222300030
512423212323300220
6302510151200352
723302140115613
oct3406000526014
9761807017465
10241323650060
1193387a00109
123a92a9760b8
13199ab69a30c
14b9743a887a
15642626dac5
hex383002ac0c

241323650060 has 96 divisors (see below), whose sum is σ = 538146685440. Its totient is φ = 90647797248.

The previous prime is 241323650027. The next prime is 241323650201. The reversal of 241323650060 is 60056323142.

241323650060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241323649999 and 241323650026.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20092577 + ... + 20104583.

It is an arithmetic number, because the mean of its divisors is an integer number (5605694640).

Almost surely, 2241323650060 is an apocalyptic number.

241323650060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241323650060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269073342720).

241323650060 is an abundant number, since it is smaller than the sum of its proper divisors (296823035380).

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

241323650060 is a wasteful number, since it uses less digits than its factorization.

241323650060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12495 (or 12493 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 241323650060 in words is "two hundred forty-one billion, three hundred twenty-three million, six hundred fifty thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 233 380 454 466 908 932 1135 1165 2270 2330 4313 4427 4540 4660 8626 8854 12007 17252 17708 21565 22135 24014 43130 44270 48028 52891 60035 86260 88540 105782 120070 211564 228133 240140 264455 456266 528910 912532 1004929 1057820 1140665 2009858 2281330 2725589 2797631 4019716 4562660 5024645 5451178 5595262 10049290 10902356 11190524 13627945 13988155 20098580 27255890 27976310 51786191 53154989 54511780 55952620 103572382 106309978 207144764 212619956 258930955 265774945 517861910 531549890 635062237 1035723820 1063099780 1270124474 2540248948 3175311185 6350622370 12066182503 12701244740 24132365006 48264730012 60330912515 120661825030 241323650060