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321431104104440 = 235112273321392537
BaseRepresentation
bin100100100010101110000001…
…0110001111010011111111000
31120011002111212022021002220212
41021011130002301322133320
5314112311400122320230
63055343224414010252
7124463426255630201
oct11105340261723770
91504074768232825
10321431104104440
1193466190636890
12300736024a6988
1310a47a91344735
1459534c41d45a8
152726262375895
hex1245702c7a7f8

321431104104440 has 64 divisors (see below), whose sum is σ = 789314361924960. Its totient is φ = 116832614686720.

The previous prime is 321431104104307. The next prime is 321431104104463. The reversal of 321431104104440 is 44401401134123.

It is a super-3 number, since 3×3214311041044403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321431104104397 and 321431104104406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159696149 + ... + 161696388.

Almost surely, 2321431104104440 is an apocalyptic number.

It is an amenable number.

321431104104440 is an abundant number, since it is smaller than the sum of its proper divisors (467883257820520).

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

321431104104440 is a wasteful number, since it uses less digits than its factorization.

321431104104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321394832 (or 321394828 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 321431104104440 its reverse (44401401134123), we get a palindrome (365832505238563).

The spelling of 321431104104440 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, one hundred four million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2273 4546 9092 11365 18184 22730 25003 45460 50006 90920 100012 125015 200024 250030 500060 1000120 321392537 642785074 1285570148 1606962685 2571140296 3213925370 3535317907 6427850740 7070635814 12855701480 14141271628 17676589535 28282543256 35353179070 70706358140 141412716280 730525236601 1461050473202 2922100946404 3652626183005 5844201892808 7305252366010 8035777602611 14610504732020 16071555205222 29221009464040 32143110410444 40178888013055 64286220820888 80357776026110 160715552052220 321431104104440