Search a number
-
+
2423330013330 = 23256127236197
BaseRepresentation
bin100011010000111001101…
…110011000000010010010
322120200001000221200201200
4203100321232120002102
5304200434440411310
65053132404212030
7340036243150452
oct43207156300222
98520030850650
102423330013330
11854801686536
123317a839a016
1314769943a715
148540b2c7d62
1543082b729c0
hex23439b98092

2423330013330 has 72 divisors (see below), whose sum is σ = 6405641665956. Its totient is φ = 635627456640.

The previous prime is 2423330013323. The next prime is 2423330013343. The reversal of 2423330013330 is 333100333242.

It is a happy number.

2423330013330 is a `hidden beast` number, since 2 + 4 + 23 + 3 + 300 + 1 + 3 + 330 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 507959820369 + 1915370192961 = 712713^2 + 1383969^2 .

It is a super-3 number, since 3×24233300133303 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2423330013294 and 2423330013303.

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 35 ways as a sum of consecutive naturals, for example, 3283209 + ... + 3952988.

Almost surely, 22423330013330 is an apocalyptic number.

2423330013330 is an abundant number, since it is smaller than the sum of its proper divisors (3982311652626).

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

2423330013330 is a wasteful number, since it uses less digits than its factorization.

2423330013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236332 (or 7236268 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 2423330013330 its reverse (333100333242), we get a palindrome (2756430346572).

The spelling of 2423330013330 in words is "two trillion, four hundred twenty-three billion, three hundred thirty million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 3721 5490 7442 11163 18605 22326 33489 37210 55815 66978 111630 167445 334890 7236197 14472394 21708591 36180985 43417182 65125773 72361970 108542955 130251546 217085910 325628865 441408017 651257730 882816034 1324224051 2207040085 2648448102 3972672153 4414080170 6621120255 7945344306 13242240510 19863360765 26925889037 39726721530 53851778074 80777667111 134629445185 161555334222 242333001333 269258890370 403888335555 484666002666 807776671110 1211665006665 2423330013330