Search a number
-
+
404401035113244 = 223213171071129942043
BaseRepresentation
bin101101111110011001111010…
…0000010110111001100011100
31222000212100202110021101111100
41123330303310002313030130
5411001201304442110434
63552031134255153100
7151116003433103361
oct13374636402671434
91860770673241440
10404401035113244
11107944574676554
1239433768515790
1314485b14267160
1471c11863d8468
1531b45eb7ec699
hex16fccf40b731c

404401035113244 has 288 divisors, whose sum is σ = 1176652330963200. Its totient is φ = 116004083779584.

The previous prime is 404401035113219. The next prime is 404401035113347. The reversal of 404401035113244 is 442311530104404.

It is a happy number.

404401035113244 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 0 + 103 + 511 + 32 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404401035113199 and 404401035113208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9618727287 + ... + 9618769329.

It is an arithmetic number, because the mean of its divisors is an integer number (4085598371400).

Almost surely, 2404401035113244 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 404401035113244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588326165481600).

404401035113244 is an abundant number, since it is smaller than the sum of its proper divisors (772251295849956).

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

404401035113244 is a wasteful number, since it uses less digits than its factorization.

404401035113244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53489 (or 53484 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 404401035113244 its reverse (442311530104404), we get a palindrome (846712565217648).

The spelling of 404401035113244 in words is "four hundred four trillion, four hundred one billion, thirty-five million, one hundred thirteen thousand, two hundred forty-four".