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242394385572 = 22336183443293
BaseRepresentation
bin1110000110111111010…
…1001100110010100100
3212011122212210121112000
43201233311030302210
512432410430314242
6303204320525300
723340521165523
oct3415765146244
9764585717460
10242394385572
1193887347599
123ab89480830
1319b1c472a21
14ba3668a4ba
15648a273a4c
hex386fd4cca4

242394385572 has 96 divisors (see below), whose sum is σ = 646429042560. Its totient is φ = 78515879040.

The previous prime is 242394385549. The next prime is 242394385609. The reversal of 242394385572 is 275583493242.

242394385572 is a `hidden beast` number, since 2 + 4 + 2 + 39 + 4 + 38 + 5 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 325158 + ... + 768450.

It is an arithmetic number, because the mean of its divisors is an integer number (6733635860).

Almost surely, 2242394385572 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 242394385572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323214521280).

242394385572 is an abundant number, since it is smaller than the sum of its proper divisors (404034656988).

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

242394385572 is a wasteful number, since it uses less digits than its factorization.

242394385572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443450 (or 443442 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 242394385572 in words is "two hundred forty-two billion, three hundred ninety-four million, three hundred eighty-five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 83 108 122 166 183 244 249 332 366 498 549 732 747 996 1098 1494 1647 2196 2241 2988 3294 4482 5063 6588 8964 10126 15189 20252 30378 45567 60756 91134 136701 182268 273402 443293 546804 886586 1329879 1773172 2659758 3989637 5319516 7979274 11968911 15958548 23937822 27040873 36793319 47875644 54081746 73586638 81122619 108163492 110379957 147173276 162245238 220759914 243367857 324490476 331139871 441519828 486735714 662279742 730103571 973471428 993419613 1324559484 1460207142 1986839226 2244392459 2920414284 3973678452 4488784918 6733177377 8977569836 13466354754 20199532131 26932709508 40399064262 60598596393 80798128524 121197192786 242394385572