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404023415444244 = 2232233330491457437
BaseRepresentation
bin101101111011101010000100…
…0001010001001001100010100
31221222112021001111020122000200
41123313110020022021030110
5410424004423323203434
63551141443355140500
7151046504605632651
oct13367241012111424
91858467044218020
10404023415444244
11107809406171082
1239392540444730
13144593244c382b
1471aaba26dac28
1531a9899b0d199
hex16f7508289314

404023415444244 has 72 divisors (see below), whose sum is σ = 1025696331714600. Its totient is φ = 134092320279552.

The previous prime is 404023415444227. The next prime is 404023415444281. The reversal of 404023415444244 is 442444514320404.

404023415444244 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 23 + 4 + 1 + 544 + 42 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25401479040144 + 378621936404100 = 5039988^2 + 19458210^2 .

It is a super-2 number, since 2×4040234154442442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404023415444244.

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, 276486294 + ... + 277943730.

It is an arithmetic number, because the mean of its divisors is an integer number (14245782384925).

Almost surely, 2404023415444244 is an apocalyptic number.

It is an amenable number.

404023415444244 is an abundant number, since it is smaller than the sum of its proper divisors (621672916270356).

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

404023415444244 is a wasteful number, since it uses less digits than its factorization.

404023415444244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490729 (or 1490724 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 45.

Adding to 404023415444244 its reverse (442444514320404), we get a palindrome (846467929764648).

The spelling of 404023415444244 in words is "four hundred four trillion, twenty-three billion, four hundred fifteen million, four hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 33049 66098 99147 132196 198294 297441 396588 594882 1189764 1457437 2914874 4372311 5829748 7700417 8744622 13116933 15400834 17489244 23101251 26233866 30801668 46202502 52467732 69303753 92405004 138607506 277215012 339582821 679165642 1018748463 1358331284 2037496926 3056245389 4074993852 6112490778 12224981556 48166835413 96333670826 144500506239 192667341652 289001012478 433501518717 578002024956 867003037434 1734006074868 11222872651229 22445745302458 33668617953687 44891490604916 67337235907374 101005853861061 134674471814748 202011707722122 404023415444244