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243444141444 = 223710744361141
BaseRepresentation
bin1110001010111001100…
…1101100110110000100
3212021101001002201212010
43202232121230312010
512442033200011234
6303500420454220
723405526026340
oct3425631546604
9767331081763
10243444141444
1194275964729
123b220b4a370
1319c58ab114a
14bad5c6a620
1564ec4d26e9
hex38ae66cd84

243444141444 has 96 divisors (see below), whose sum is σ = 656741385216. Its totient is φ = 68748750720.

The previous prime is 243444141397. The next prime is 243444141481. The reversal of 243444141444 is 444141444342.

243444141444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3951114 + ... + 4012254.

It is an arithmetic number, because the mean of its divisors is an integer number (6841056096).

Almost surely, 2243444141444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243444141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328370692608).

243444141444 is an abundant number, since it is smaller than the sum of its proper divisors (413297243772).

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

243444141444 is a wasteful number, since it uses less digits than its factorization.

243444141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61705 (or 61703 counting only the distinct ones).

The product of its digits is 393216, while the sum is 39.

Adding to 243444141444 its reverse (444141444342), we get a palindrome (687585585786).

The spelling of 243444141444 in words is "two hundred forty-three billion, four hundred forty-four million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 443 642 749 886 1284 1329 1498 1772 2247 2658 2996 3101 4494 5316 6202 8988 9303 12404 18606 37212 47401 61141 94802 122282 142203 183423 189604 244564 284406 331807 366846 427987 568812 663614 733692 855974 995421 1283961 1327228 1711948 1990842 2567922 3981684 5135844 6542087 13084174 19626261 26168348 27085463 39252522 45794609 54170926 78505044 81256389 91589218 108341852 137383827 162512778 183178436 189598241 274767654 325025556 379196482 549535308 568794723 758392964 1137589446 2275178892 2898144541 5796289082 8694433623 11592578164 17388867246 20287011787 34777734492 40574023574 60861035361 81148047148 121722070722 243444141444