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242241143310 = 23255982755163
BaseRepresentation
bin1110000110011010110…
…0101000001000001110
3212011021012110002122200
43201212230220020032
512432102213041220
6303141204222330
723333650513215
oct3414654501016
9764235402580
10242241143310
11938088a03a1
123ab4609a9a6
1319ac67aa12a
14ba2019a07c
15647baa3890
hex3866b2820e

242241143310 has 96 divisors (see below), whose sum is σ = 641288119680. Its totient is φ = 63424826304.

The previous prime is 242241143297. The next prime is 242241143327. The reversal of 242241143310 is 13341142242.

242241143310 is a `hidden beast` number, since 2 + 4 + 224 + 1 + 1 + 433 + 1 + 0 = 666.

242241143310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2422411433102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363789 + ... + 4418951.

It is an arithmetic number, because the mean of its divisors is an integer number (6680084580).

Almost surely, 2242241143310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242241143310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320644059840).

242241143310 is an abundant number, since it is smaller than the sum of its proper divisors (399046976370).

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

242241143310 is a wasteful number, since it uses less digits than its factorization.

242241143310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56062 (or 56059 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 242241143310 its reverse (13341142242), we get a palindrome (255582285552).

The spelling of 242241143310 in words is "two hundred forty-two billion, two hundred forty-one million, one hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 827 885 1062 1654 1770 2481 2655 4135 4962 5310 7443 8270 12405 14886 24810 37215 48793 55163 74430 97586 110326 146379 165489 243965 275815 292758 330978 439137 487930 496467 551630 731895 827445 878274 992934 1463790 1654890 2195685 2482335 3254617 4391370 4964670 6509234 9763851 16273085 19527702 29291553 32546170 45619801 48819255 58583106 91239602 97638510 136859403 146457765 228099005 273718806 292915530 410578209 456198010 684297015 821156418 1368594030 2052891045 2691568259 4105782090 5383136518 8074704777 13457841295 16149409554 24224114331 26915682590 40373523885 48448228662 80747047770 121120571655 242241143310