Search a number
-
+
242201244411 = 327378458453
BaseRepresentation
bin1110000110010001010…
…0011011001011111011
3212011011102101000122200
43201210110123023323
512432012004310121
6303133221121243
723332654416000
oct3414424331373
9764142330580
10242201244411
11937983197a5
123ab34859223
1319abb44a609
14ba18b718a7
156478321a26
hex386451b2fb

242201244411 has 24 divisors (see below), whose sum is σ = 407983960800. Its totient is φ = 138400709328.

The previous prime is 242201244371. The next prime is 242201244413. The reversal of 242201244411 is 114442102242.

242201244411 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 0 + 1 + 244 + 411 = 666.

It is not a de Polignac number, because 242201244411 - 213 = 242201236219 is a prime.

It is a super-3 number, since 3×2422012444113 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (242201244413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39226140 + ... + 39232313.

It is an arithmetic number, because the mean of its divisors is an integer number (16999331700).

Almost surely, 2242201244411 is an apocalyptic number.

242201244411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242201244411 is a deficient number, since it is larger than the sum of its proper divisors (165782716389).

242201244411 is an equidigital number, since it uses as much as digits as its factorization.

242201244411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78458480 (or 78458463 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 242201244411 its reverse (114442102242), we get a palindrome (356643346653).

The spelling of 242201244411 in words is "two hundred forty-two billion, two hundred one million, two hundred forty-four thousand, four hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 78458453 235375359 549209171 706126077 1647627513 3844464197 4942882539 11533392591 26911249379 34600177773 80733748137 242201244411