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4201031314305 = 325726728436263
BaseRepresentation
bin111101001000100000111…
…110101010101110000001
3112212121121002120120200200
4331020200332222232001
51022312203004024210
612533532132435413
7612341320662300
oct75104076525601
915777532516620
104201031314305
11137a713724541
1257a230a78b69
1324620399a057
1410748c3a0437
1574429c490c0
hex3d220faab81

4201031314305 has 72 divisors (see below), whose sum is σ = 8597078822592. Its totient is φ = 1891807638336.

The previous prime is 4201031314303. The next prime is 4201031314331. The reversal of 4201031314305 is 5034131301024.

It is a happy number.

4201031314305 is a `hidden beast` number, since 4 + 2 + 0 + 10 + 31 + 314 + 305 = 666.

It is not a de Polignac number, because 4201031314305 - 21 = 4201031314303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4201031314303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14070397 + ... + 14365866.

It is an arithmetic number, because the mean of its divisors is an integer number (119403872536).

Almost surely, 24201031314305 is an apocalyptic number.

4201031314305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4201031314305 is an abundant number, since it is smaller than the sum of its proper divisors (4396047508287).

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

4201031314305 is a wasteful number, since it uses less digits than its factorization.

4201031314305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28436355 (or 28436345 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 4201031314305 its reverse (5034131301024), we get a palindrome (9235162615329).

The spelling of 4201031314305 in words is "four trillion, two hundred one billion, thirty-one million, three hundred fourteen thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 67 105 147 201 245 315 335 441 469 603 735 1005 1407 2205 2345 3015 3283 4221 7035 9849 16415 21105 29547 49245 147735 28436263 85308789 142181315 199053841 255926367 426543945 597161523 995269205 1279631835 1393376887 1791484569 1905229621 2985807615 4180130661 5715688863 6966884435 8957422845 9526148105 12540391983 13336607347 17147066589 20900653305 28578444315 40009822041 62701959915 66683036735 85735332945 93356251429 120029466123 200049110205 280068754287 466781257145 600147330615 840206262861 1400343771435 4201031314305