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242312524116 = 2231331110345427
BaseRepresentation
bin1110000110101011110…
…0111011000101010100
3212011110011202121201020
43201222330323011110
512432224001232431
6303152234201140
723335505320425
oct3415274730524
9764404677636
10242312524116
11938451148a3
123ab65b831b0
1319b085102b0
14ba2985b64c
156482ea3696
hex386af3b154

242312524116 has 96 divisors (see below), whose sum is σ = 629113110528. Its totient is φ = 72085610880.

The previous prime is 242312524073. The next prime is 242312524127. The reversal of 242312524116 is 611425213242.

It is a congruent number.

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, 5311395 + ... + 5356821.

It is an arithmetic number, because the mean of its divisors is an integer number (6553261568).

Almost surely, 2242312524116 is an apocalyptic number.

242312524116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242312524116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314556555264).

242312524116 is an abundant number, since it is smaller than the sum of its proper divisors (386800586412).

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

242312524116 is a wasteful number, since it uses less digits than its factorization.

242312524116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46581 (or 46579 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

Adding to 242312524116 its reverse (611425213242), we get a palindrome (853737737358).

The spelling of 242312524116 in words is "two hundred forty-two billion, three hundred twelve million, five hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1103 1209 1612 2206 2418 3309 4412 4836 6618 13236 14339 28678 34193 43017 45427 57356 68386 86034 90854 102579 136281 136772 172068 181708 205158 272562 410316 444509 545124 590551 889018 1181102 1333527 1408237 1771653 1778036 2362204 2667054 2816474 3543306 4224711 5334108 5632948 7086612 8449422 16898844 18307081 36614162 50105981 54921243 73228324 100211962 109842486 150317943 200423924 219684972 300635886 601271772 651377753 1302755506 1553285411 1954133259 2605511012 3106570822 3908266518 4659856233 6213141644 7816533036 9319712466 18639424932 20192710343 40385420686 60578131029 80770841372 121156262058 242312524116