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242334346050 = 23452280321347
BaseRepresentation
bin1110000110110001000…
…0001010101101000010
3212011111200211021210000
43201230100022231002
512432300043033200
6303154334020430
723336161645266
oct3415420125502
9764450737700
10242334346050
1193856469a55
123ab71347716
1319b0cbb0a94
14ba2c6dc0a6
156484d64300
hex386c40ab42

242334346050 has 120 divisors (see below), whose sum is σ = 673602239376. Its totient is φ = 64596411360.

The previous prime is 242334346049. The next prime is 242334346063. The reversal of 242334346050 is 50643433242.

242334346050 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 3 + 43 + 4 + 605 + 0 = 666.

It is a super-3 number, since 3×2423343460503 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242334345996 and 242334346014.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11341477 + ... + 11362823.

Almost surely, 2242334346050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242334346050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336801119688).

242334346050 is an abundant number, since it is smaller than the sum of its proper divisors (431267893326).

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

242334346050 is a wasteful number, since it uses less digits than its factorization.

242334346050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24174 (or 24160 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 242334346050 its reverse (50643433242), we get a palindrome (292977779292).

The spelling of 242334346050 in words is "two hundred forty-two billion, three hundred thirty-four million, three hundred forty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 2803 4050 5606 8409 14015 16818 21347 25227 28030 42045 42694 50454 64041 70075 75681 84090 106735 126135 128082 140150 151362 192123 210225 213470 227043 252270 320205 378405 384246 420450 454086 533675 576369 630675 640410 756810 960615 1067350 1135215 1152738 1261350 1601025 1729107 1892025 1921230 2270430 2881845 3202050 3458214 3784050 4803075 5676075 5763690 8645535 9606150 11352150 14409225 17291070 28818450 43227675 59835641 86455350 119671282 179506923 299178205 359013846 538520769 598356410 897534615 1077041538 1495891025 1615562307 1795069230 2692603845 2991782050 3231124614 4487673075 4846686921 5385207690 8077811535 8975346150 9693373842 13463019225 16155623070 24233434605 26926038450 40389057675 48466869210 80778115350 121167173025 242334346050