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4441102333344 = 253253823353527
BaseRepresentation
bin100000010100000011001…
…0100111011010110100000
3120201120021001112221111100
41000220012110323112200
51040230334144131334
613240114135514400
7635600440656555
oct100500624732640
916646231487440
104441102333344
1114625085403a6
125b8870228a00
13262a429a6081
14114d44258a2c
157a7cb032c99
hex40a0653b5a0

4441102333344 has 144 divisors (see below), whose sum is σ = 12883346566272. Its totient is φ = 1450667073024.

The previous prime is 4441102333337. The next prime is 4441102333357. The reversal of 4441102333344 is 4433332011444.

4441102333344 is a `hidden beast` number, since 4 + 4 + 411 + 0 + 233 + 3 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 4441102333299 and 4441102333308.

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, 12385509 + ... + 12739035.

It is an arithmetic number, because the mean of its divisors is an integer number (89467684488).

Almost surely, 24441102333344 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 4441102333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441673283136).

4441102333344 is an abundant number, since it is smaller than the sum of its proper divisors (8442244232928).

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

4441102333344 is a wasteful number, since it uses less digits than its factorization.

4441102333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354419 (or 354408 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4441102333344 its reverse (4433332011444), we get a palindrome (8874434344788).

The spelling of 4441102333344 in words is "four trillion, four hundred forty-one billion, one hundred two million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 823 848 954 1272 1646 1696 1908 2469 2544 3292 3816 4938 5088 6584 7407 7632 9876 13168 14814 15264 19752 26336 29628 39504 43619 59256 79008 87238 118512 130857 174476 237024 261714 348952 353527 392571 523428 697904 707054 785142 1046856 1060581 1395808 1414108 1570284 2093712 2121162 2828216 3140568 3181743 4187424 4242324 5656432 6281136 6363486 8484648 11312864 12562272 12726972 16969296 18736931 25453944 33938592 37473862 50907888 56210793 74947724 101815776 112421586 149895448 168632379 224843172 290952721 299790896 337264758 449686344 581905442 599581792 674529516 872858163 899372688 1163810884 1349059032 1745716326 1798745376 2327621768 2618574489 2698118064 3491432652 4655243536 5237148978 5396236128 6982865304 9310487072 10474297956 13965730608 15420494213 20948595912 27931461216 30840988426 41897191824 46261482639 61681976852 83794383648 92522965278 123363953704 138784447917 185045930556 246727907408 277568895834 370091861112 493455814816 555137791668 740183722224 1110275583336 1480367444448 2220551166672 4441102333344