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441224432321112 = 2332111373405754957
BaseRepresentation
bin110010001010010101001000…
…1100011100000001001011000
32010212020122101022121202012200
41210110222101203200021120
5430313010114133233422
64202223412253210200
7161636261516011116
oct14424522143401130
92125218338552180
10441224432321112
1111865125a391280
12415a0301790960
1315c2739314644b
147ad553b062ab6
1536023d79722ac
hex1914a918e0258

441224432321112 has 96 divisors (see below), whose sum is σ = 1304567110763280. Its totient is φ = 133606991911680.

The previous prime is 441224432321089. The next prime is 441224432321203. The reversal of 441224432321112 is 211123234422144.

441224432321112 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 2 + 4 + 432 + 3 + 211 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201790063 + ... + 203964894.

Almost surely, 2441224432321112 is an apocalyptic number.

It is an amenable number.

441224432321112 is an abundant number, since it is smaller than the sum of its proper divisors (863342678442168).

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

441224432321112 is a wasteful number, since it uses less digits than its factorization.

441224432321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405756353 (or 405756346 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 441224432321112 its reverse (211123234422144), we get a palindrome (652347666743256).

The spelling of 441224432321112 in words is "four hundred forty-one trillion, two hundred twenty-four billion, four hundred thirty-two million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1373 2746 4119 5492 8238 10984 12357 15103 16476 24714 30206 32952 45309 49428 60412 90618 98856 120824 135927 181236 271854 362472 543708 1087416 405754957 811509914 1217264871 1623019828 2434529742 3246039656 3651794613 4463304527 4869059484 7303589226 8926609054 9738118968 13389913581 14607178452 17853218108 26779827162 29214356904 35706436216 40169740743 53559654324 80339481486 107119308648 160678962972 321357925944 557101555961 1114203111922 1671304667883 2228406223844 3342609335766 4456812447688 5013914003649 6128117115571 6685218671532 10027828007298 12256234231142 13370437343064 18384351346713 20055656014596 24512468462284 36768702693426 40111312029192 49024936924568 55153054040139 73537405386852 110306108080278 147074810773704 220612216160556 441224432321112