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404010104420 = 2251317433211097
BaseRepresentation
bin1011110000100001110…
…00001111011001100100
31102121211011021210002202
411320100320033121210
523104403041320140
6505333310354032
741121514140356
oct5702070173144
91377734253082
10404010104420
1114638119818a
12663721bb918
132c137389cb0
14157a89c70d6
15a7989b7915
hex5e10e0f664

404010104420 has 96 divisors (see below), whose sum is σ = 969669374688. Its totient is φ = 140073172992.

The previous prime is 404010104411. The next prime is 404010104447. The reversal of 404010104420 is 24401010404.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 188736375844 + 215273728576 = 434438^2 + 463976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404010104392 and 404010104401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808312 + ... + 2019408.

It is an arithmetic number, because the mean of its divisors is an integer number (10100722653).

Almost surely, 2404010104420 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 404010104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484834687344).

404010104420 is an abundant number, since it is smaller than the sum of its proper divisors (565659270268).

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

404010104420 is a wasteful number, since it uses less digits than its factorization.

404010104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211569 (or 211567 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 404010104420 its reverse (24401010404), we get a palindrome (428411114824).

The spelling of 404010104420 in words is "four hundred four billion, ten million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 433 442 866 884 1105 1732 2165 2210 4330 4420 5629 7361 8660 11258 14722 22516 28145 29444 36805 56290 73610 95693 112580 147220 191386 211097 382772 422194 478465 844388 956930 1055485 1913860 2110970 2744261 3588649 4221940 5488522 7177298 10977044 13721305 14354596 17943245 27442610 35886490 46652437 54885220 71772980 91405001 93304874 182810002 186609748 233262185 365620004 457025005 466524370 914050010 933048740 1188265013 1553885017 1828100020 2376530026 3107770034 4753060052 5941325065 6215540068 7769425085 11882650130 15538850170 20200505221 23765300260 31077700340 40401010442 80802020884 101002526105 202005052210 404010104420