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404341030104 = 2331141191195581
BaseRepresentation
bin1011110001001001001…
…10100111110011011000
31102122200012222112210120
411320210212213303120
523111042300430404
6505430211313240
741132643022314
oct5704446476330
91378605875716
10404341030104
11146530a74590
1266444bab820
132c18aac51cb
14157da92ab44
15a7b7a849d9
hex5e249a7cd8

404341030104 has 128 divisors (see below), whose sum is σ = 1135564738560. Its totient is φ = 118912640000.

The previous prime is 404341030103. The next prime is 404341030111. The reversal of 404341030104 is 401030143404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404341030103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1969594 + ... + 2165174.

It is an arithmetic number, because the mean of its divisors is an integer number (8871599520).

Almost surely, 2404341030104 is an apocalyptic number.

404341030104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404341030104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567782369280).

404341030104 is an abundant number, since it is smaller than the sum of its proper divisors (731223708456).

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

404341030104 is a wasteful number, since it uses less digits than its factorization.

404341030104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195833 (or 195829 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 404341030104 its reverse (401030143404), we get a palindrome (805371173508).

The spelling of 404341030104 in words is "four hundred four billion, three hundred forty-one million, thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 191 246 264 328 382 451 492 573 764 902 984 1146 1353 1528 1804 2101 2292 2706 3608 4202 4584 5412 6303 7831 8404 10824 12606 15662 16808 23493 25212 31324 46986 50424 62648 86141 93972 172282 187944 195581 258423 344564 391162 516846 586743 689128 782324 1033692 1173486 1564648 2067384 2151391 2346972 4302782 4693944 6454173 8018821 8605564 12908346 16037642 17211128 24056463 25816692 32075284 37355971 48112926 51633384 64150568 74711942 88207031 96225852 112067913 149423884 176414062 192451704 224135826 264621093 298847768 352828124 410915681 448271652 529242186 705656248 821831362 896543304 1058484372 1232747043 1531594811 1643662724 2116968744 2465494086 3063189622 3287325448 4594784433 4930988172 6126379244 9189568866 9861976344 12252758488 16847542921 18379137732 33695085842 36758275464 50542628763 67390171684 101085257526 134780343368 202170515052 404341030104