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242343110403104 = 252310712012562277
BaseRepresentation
bin110111000110100011100111…
…000000100110010000100000
31011210001202221001011100000112
4313012203213000212100200
5223231022142230344404
62215230515445310452
7102021466123236344
oct6706434700462040
91153052831140015
10242343110403104
1170244154a50417
122321b875405428
13a52bb1b4ca069
1443bb67d403624
151d03d7903056e
hexdc68e7026420

242343110403104 has 96 divisors (see below), whose sum is σ = 502928517442176. Its totient is φ = 114724370534400.

The previous prime is 242343110403101. The next prime is 242343110403133. The reversal of 242343110403104 is 401304011343242.

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

It is not an unprimeable number, because it can be changed into a prime (242343110403101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93300014 + ... + 95862290.

It is an arithmetic number, because the mean of its divisors is an integer number (5238838723356).

Almost surely, 2242343110403104 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 242343110403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251464258721088).

242343110403104 is an abundant number, since it is smaller than the sum of its proper divisors (260585407039072).

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

242343110403104 is a wasteful number, since it uses less digits than its factorization.

242343110403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563618 (or 2563610 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 242343110403104 its reverse (401304011343242), we get a palindrome (643647121746346).

The spelling of 242343110403104 in words is "two hundred forty-two trillion, three hundred forty-three billion, one hundred ten million, four hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 107 184 214 368 428 736 856 1201 1712 2402 2461 3424 4804 4922 9608 9844 19216 19688 27623 38432 39376 55246 78752 110492 128507 220984 257014 441968 514028 883936 1028056 2056112 2562277 2955661 4112224 5124554 5911322 10249108 11822644 20498216 23645288 40996432 47290576 58932371 81992864 94581152 117864742 235729484 274163639 471458968 548327278 942917936 1096654556 1885835872 2193309112 3077294677 4386618224 6154589354 6305763697 8773236448 12309178708 12611527394 24618357416 25223054788 49236714832 50446109576 70777777571 98473429664 100892219152 141555555142 201784438304 283111110284 329270530439 566222220568 658541060878 1132444441136 1317082121756 2264888882272 2634164243512 5268328487024 7573222200097 10536656974048 15146444400194 30292888800388 60585777600776 121171555201552 242343110403104