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242325436736 = 2637214147797
BaseRepresentation
bin1110000110101110111…
…0001011100101000000
3212011111002001122111102
43201223232023211000
512432240302433421
6303153415033532
723336023140515
oct3415356134500
9764432048442
10242325436736
1193851434289
123ab6a36b8a8
1319b0b0b17b6
14ba2b45d30c
1564841a460b
hex386bb8b940

242325436736 has 56 divisors (see below), whose sum is σ = 494101883016. Its totient is φ = 117830522880.

The previous prime is 242325436711. The next prime is 242325436741. The reversal of 242325436736 is 637634523242.

It can be written as a sum of positive squares in 4 ways, for example, as 147056910400 + 95268526336 = 383480^2 + 308656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5045990 + ... + 5093786.

It is an arithmetic number, because the mean of its divisors is an integer number (8823247911).

Almost surely, 2242325436736 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 242325436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247050941508).

242325436736 is an abundant number, since it is smaller than the sum of its proper divisors (251776446280).

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

242325436736 is a wasteful number, since it uses less digits than its factorization.

242325436736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49987 (or 49977 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 47.

Adding to 242325436736 its reverse (637634523242), we get a palindrome (879959959978).

The spelling of 242325436736 in words is "two hundred forty-two billion, three hundred twenty-five million, four hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2141 2368 4282 8564 17128 34256 47797 68512 79217 95594 137024 158434 191188 316868 382376 633736 764752 1267472 1529504 1768489 2534944 3059008 3536978 5069888 7073956 14147912 28295824 56591648 102333377 113183296 204666754 409333508 818667016 1637334032 3274668064 3786334949 6549336128 7572669898 15145339796 30290679592 60581359184 121162718368 242325436736