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242134222330 = 257111359409987
BaseRepresentation
bin1110000110000001010…
…0110000010111111010
3212010222202020221122101
43201200110300113322
512431342330103310
6303122424414014
723331211634230
oct3414024602772
9763882227571
10242134222330
1193763502050
123ab1631730a
1319aaa5b2390
14ba0dcc6950
1564724d343a
hex38605305fa

242134222330 has 128 divisors (see below), whose sum is σ = 595105781760. Its totient is φ = 68484061440.

The previous prime is 242134222313. The next prime is 242134222399. The reversal of 242134222330 is 33222431242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385597 + ... + 795583.

It is an arithmetic number, because the mean of its divisors is an integer number (4649263920).

Almost surely, 2242134222330 is an apocalyptic number.

242134222330 is an abundant number, since it is smaller than the sum of its proper divisors (352971559430).

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

242134222330 is a wasteful number, since it uses less digits than its factorization.

242134222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410084.

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 242134222330 its reverse (33222431242), we get a palindrome (275356653572).

It can be divided in two parts, 242134 and 222330, that added together give a palindrome (464464).

The spelling of 242134222330 in words is "two hundred forty-two billion, one hundred thirty-four million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 59 65 70 77 91 110 118 130 143 154 182 286 295 385 413 455 590 649 715 767 770 826 910 1001 1298 1430 1534 2002 2065 3245 3835 4130 4543 5005 5369 6490 7670 8437 9086 10010 10738 16874 22715 26845 42185 45430 53690 59059 84370 118118 295295 409987 590590 819974 2049935 2869909 4099870 4509857 5329831 5739818 9019714 10659662 14349545 22549285 24189233 26649155 28699090 31568999 37308817 45098570 48378466 53298310 58628141 63137998 74617634 117256282 120946165 157844995 169324631 186544085 241892330 266081563 293140705 314460029 315689990 338649262 373088170 410396987 532163126 586281410 628920058 820793974 846623155 1330407815 1572300145 1693246310 1862570941 2051984935 2201220203 2660815630 3144600290 3459060319 3725141882 4103969870 4402440406 6918120638 9312854705 11006101015 17295301595 18625709410 22012202030 24213422233 34590603190 48426844466 121067111165 242134222330