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242140421011424 = 251315711119333433
BaseRepresentation
bin110111000011100110110101…
…110001111011011111100000
31011202100101202021022101200212
4313003212311301323133200
5223214212040234331144
62214553435044233252
7102001032234651305
oct6703466561733740
91152311667271625
10242140421011424
11701761a3089471
12231a852909b828
13a515988c69b80
1443b19320910ac
151ced96491e49e
hexdc39b5c7b7e0

242140421011424 has 96 divisors (see below), whose sum is σ = 516702236964480. Its totient is φ = 111034968625152.

The previous prime is 242140421011417. The next prime is 242140421011457. The reversal of 242140421011424 is 424110124041242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726037412 + ... + 726370844.

It is an arithmetic number, because the mean of its divisors is an integer number (5382314968380).

Almost surely, 2242140421011424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242140421011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258351118482240).

242140421011424 is an abundant number, since it is smaller than the sum of its proper divisors (274561815953056).

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

242140421011424 is a wasteful number, since it uses less digits than its factorization.

242140421011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344732 (or 344724 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 242140421011424 its reverse (424110124041242), we get a palindrome (666250545052666).

The spelling of 242140421011424 in words is "two hundred forty-two trillion, one hundred forty billion, four hundred twenty-one million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 157 208 314 416 628 1256 2041 2512 4082 5024 8164 11119 16328 22238 32656 44476 65312 88952 144547 177904 289094 333433 355808 578188 666866 1156376 1333732 1745683 2312752 2667464 3491366 4334629 4625504 5334928 6982732 8669258 10669856 13965464 17338516 22693879 27930928 34677032 45387758 52348981 55861856 69354064 90775516 104697962 138708128 181551032 209395924 363102064 418791848 680536753 726204128 837583696 1361073506 1675167392 2722147012 3707441527 5444294024 7414883054 10888588048 14829766108 21777176096 29659532216 48196739851 59319064432 96393479702 118638128864 192786959404 385573918808 582068319739 771147837616 1164136639478 1542295675232 2328273278956 4656546557912 7566888156607 9313093115824 15133776313214 18626186231648 30267552626428 60535105252856 121070210505712 242140421011424