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242113231343120 = 2452927349295773
BaseRepresentation
bin110111000011001101100001…
…001001100100111000010000
31011202020210120101011010122212
4313003031201021210320100
5223213240344210434440
62214533141043251252
7101666050401411314
oct6703154111447020
91152223511133585
10242113231343120
117016571023a215
12231a31bb379b28
13a513244bab847
1443b04b2d99b44
151cecdc28c1465
hexdc3361264e10

242113231343120 has 120 divisors (see below), whose sum is σ = 590979626035656. Its totient is φ = 92224896454656.

The previous prime is 242113231343059. The next prime is 242113231343167. The reversal of 242113231343120 is 21343132311242.

It can be written as a sum of positive squares in 12 ways, for example, as 6661024162816 + 235452207180304 = 2580896^2 + 15344452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19736447 + ... + 29559326.

Almost surely, 2242113231343120 is an apocalyptic number.

242113231343120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242113231343120 is an abundant number, since it is smaller than the sum of its proper divisors (348866394692536).

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

242113231343120 is a wasteful number, since it uses less digits than its factorization.

242113231343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49295917 (or 49295882 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 242113231343120 its reverse (21343132311242), we get a palindrome (263456363654362).

The spelling of 242113231343120 in words is "two hundred forty-two trillion, one hundred thirteen billion, two hundred thirty-one million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 73 80 116 145 146 232 290 292 365 464 580 584 730 841 1160 1168 1460 1682 2117 2320 2920 3364 4205 4234 5840 6728 8410 8468 10585 13456 16820 16936 21170 33640 33872 42340 61393 67280 84680 122786 169360 245572 306965 491144 613930 982288 1227860 2455720 4911440 49295773 98591546 197183092 246478865 394366184 492957730 788732368 985915460 1429577417 1971830920 2859154834 3598591429 3943661840 5718309668 7147887085 7197182858 11436619336 14295774170 14394365716 17992957145 22873238672 28591548340 28788731432 35985914290 41457745093 57183096680 57577462864 71971828580 82915490186 104359151441 114366193360 143943657160 165830980372 207288725465 208718302882 287887314320 331661960744 414577450930 417436605764 521795757205 663323921488 829154901860 834873211528 1043591514410 1658309803720 1669746423056 2087183028820 3026415391789 3316619607440 4174366057640 6052830783578 8348732115280 12105661567156 15132076958945 24211323134312 30264153917890 48422646268624 60528307835780 121056615671560 242113231343120