Search a number
-
+
12442411044 = 22327217414913
BaseRepresentation
bin10111001011010000…
…00010000000100100
31012010010120222012200
423211220002000210
5200440224123134
65414352014500
7620222514600
oct134550020044
935103528180
1012442411044
115305464638
1224b2b31430
131233a051cb
148606a2500
154cc510499
hex2e5a02024

12442411044 has 108 divisors (see below), whose sum is σ = 38738860524. Its totient is φ = 3345850368.

The previous prime is 12442411031. The next prime is 12442411067. The reversal of 12442411044 is 44011424421.

It is a happy number.

12442411044 is a `hidden beast` number, since 1 + 244 + 2 + 411 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7697956644 + 4744454400 = 87738^2 + 68880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12442410999 and 12442411017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177469 + ... + 237444.

It is an arithmetic number, because the mean of its divisors is an integer number (358693153).

Almost surely, 212442411044 is an apocalyptic number.

12442411044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12442411044 is an abundant number, since it is smaller than the sum of its proper divisors (26296449480).

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

12442411044 is a wasteful number, since it uses less digits than its factorization.

12442411044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414954 (or 414942 counting only the distinct ones).

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

Adding to 12442411044 its reverse (44011424421), we get a palindrome (56453835465).

The spelling of 12442411044 in words is "twelve billion, four hundred forty-two million, four hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 4284 4998 7497 9996 14994 29988 414913 829826 1244739 1659652 2489478 2904391 3734217 4978956 5808782 7053521 7468434 8713173 11617564 14107042 14936868 17426346 20330737 21160563 26139519 28214084 34852692 40661474 42321126 49374647 52279038 60992211 63481689 81322948 84642252 98749294 104558076 121984422 126963378 148123941 182976633 197498588 243968844 253926756 296247882 345622529 365953266 444371823 592495764 691245058 731906532 888743646 1036867587 1382490116 1777487292 2073735174 3110602761 4147470348 6221205522 12442411044