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404020031423140 = 2251117315496853031
BaseRepresentation
bin101101111011101000011111…
…0011101001000001010100100
31221222111221022122121112202201
41123313100332131020022210
5410423431011021020030
63551140123511544244
7151046325005136136
oct13367207635101244
91858457278545681
10404020031423140
11107807a29a59a20
123939195708b084
1314458c053a3a92
1471aa9610cd056
1531a974c9b02ca
hex16f743e7482a4

404020031423140 has 96 divisors (see below), whose sum is σ = 931524416121600. Its totient is φ = 145972828454400.

The previous prime is 404020031423093. The next prime is 404020031423143. The reversal of 404020031423140 is 41324130020404.

It is a junction number, because it is equal to n+sod(n) for n = 404020031423099 and 404020031423108.

It is not an unprimeable number, because it can be changed into a prime (404020031423143) 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, 55528425 + ... + 62381455.

It is an arithmetic number, because the mean of its divisors is an integer number (9703379334600).

Almost surely, 2404020031423140 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 404020031423140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465762208060800).

404020031423140 is an abundant number, since it is smaller than the sum of its proper divisors (527504384698460).

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

404020031423140 is a wasteful number, since it uses less digits than its factorization.

404020031423140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854773 (or 6854771 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 404020031423140 its reverse (41324130020404), we get a palindrome (445344161443544).

The spelling of 404020031423140 in words is "four hundred four trillion, twenty billion, thirty-one million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 1549 1730 1903 3098 3460 3806 6196 7612 7745 9515 15490 17039 19030 30980 34078 38060 68156 85195 170390 267977 340780 535954 1071908 1339885 2679770 2947747 5359540 5895494 6853031 11790988 13706062 14738735 27412124 29477470 34265155 58954940 68530310 75383341 137060620 150766682 301533364 376916705 753833410 1185574363 1507666820 2371148726 4742297452 5927871815 10615345019 11855743630 13041317993 21230690038 23711487260 26082635986 42461380076 52165271972 53076725095 65206589965 106153450190 116768795209 130413179930 212306900380 233537590418 260826359860 467075180836 583843976045 1167687952090 1836454688287 2335375904180 3672909376574 7345818753148 9182273441435 18364546882870 20201001571157 36729093765740 40402003142314 80804006284628 101005007855785 202010015711570 404020031423140