Search a number
-
+
242012251210340 = 225134494283484027
BaseRepresentation
bin110111000001101111011110…
…010000111100001001100100
31011201220010220220012220000002
4313001233132100330021210
5223210112042302212330
62214414520544440432
7101655544123425662
oct6701573620741144
91151803826186002
10242012251210340
117012690161a926
1223187719319118
13a5068712c9aa0
1443a9653abdc32
151cea4625cbe45
hexdc1bde43c264

242012251210340 has 96 divisors (see below), whose sum is σ = 548668196899200. Its totient is φ = 89138352070656.

The previous prime is 242012251210337. The next prime is 242012251210357. The reversal of 242012251210340 is 43012152210242.

242012251210340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 499755407 + ... + 500239433.

It is an arithmetic number, because the mean of its divisors is an integer number (5715293717700).

Almost surely, 2242012251210340 is an apocalyptic number.

242012251210340 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 242012251210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274334098449600).

242012251210340 is an abundant number, since it is smaller than the sum of its proper divisors (306655945688860).

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

242012251210340 is a wasteful number, since it uses less digits than its factorization.

242012251210340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488781 (or 488779 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 242012251210340 in words is "two hundred forty-two trillion, twelve billion, two hundred fifty-one million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 449 898 1796 2245 4283 4490 5837 8566 8980 11674 17132 21415 23348 29185 42830 55679 58370 85660 111358 116740 222716 278395 484027 556790 968054 1113580 1923067 1936108 2420135 3846134 4840270 6292351 7692268 9615335 9680540 12584702 19230670 24999871 25169404 31461755 38461340 49999742 62923510 99999484 124999355 125847020 217328123 249998710 434656246 499997420 869312492 1086640615 2073087641 2173281230 2825265599 4146175282 4346562460 5650531198 8292350564 10365438205 11301062396 14126327995 20730876410 26950139333 28252655990 41461752820 53900278666 56505311980 107800557332 134750696665 269501393330 539002786660 930816350809 1861632701618 3723265403236 4654081754045 9308163508090 12100612560517 18616327016180 24201225121034 48402450242068 60503062802585 121006125605170 242012251210340