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242258464852242 = 233125111094679083
BaseRepresentation
bin110111000101010100110001…
…101111011100100100010010
31011202202200102221121211021020
4313011110301233130210102
5223223130314000232432
62215124000301340310
7102012411412024566
oct6705246157344422
91152680387554236
10242258464852242
1170211268820203
1223207391867696
13a523b4bab99a7
1443b752d6b16a6
151d01a72cc222c
hexdc5531bdc912

242258464852242 has 64 divisors (see below), whose sum is σ = 502592016568320. Its totient is φ = 77766342840000.

The previous prime is 242258464852181. The next prime is 242258464852253.

It is a happy number.

242258464852242 is nontrivially palindromic in base 10.

242258464852242 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, 49435233 + ... + 54114315.

It is an arithmetic number, because the mean of its divisors is an integer number (7853000258880).

Almost surely, 2242258464852242 is an apocalyptic number.

242258464852242 is an abundant number, since it is smaller than the sum of its proper divisors (260333551716078).

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

242258464852242 is a wasteful number, since it uses less digits than its factorization.

242258464852242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680479.

The product of its digits is 157286400, while the sum is 60.

The spelling of 242258464852242 in words is "two hundred forty-two trillion, two hundred fifty-eight billion, four hundred sixty-four million, eight hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 31 62 93 186 251 502 753 1109 1506 2218 3327 6654 7781 15562 23343 34379 46686 68758 103137 206274 278359 556718 835077 1670154 4679083 8629129 9358166 14037249 17258258 25887387 28074498 51774774 145051573 290103146 435154719 870309438 1174449833 2348899666 3523349499 5189103047 7046698998 10378206094 15567309141 31134618282 36407944823 72815889646 109223834469 160862194457 218447668938 321724388914 482586583371 965173166742 1302464864797 2604929729594 3907394594391 7814789188782 40376410808707 80752821617414 121129232426121 242258464852242