Search a number
-
+
404421502144044 = 2237211412851534913
BaseRepresentation
bin101101111110100011011011…
…1111110011000111000101100
31222000221022120211121021120010
41123331012313332120320230
5411002020214022102134
63552044401230453220
7151120326556021200
oct13375066776307054
91860838524537503
10404421502144044
11107952217793740
123943771a964210
1314487a26622578
1471c2168732b00
1531b4de856cce9
hex16fd1b7f98e2c

404421502144044 has 288 divisors, whose sum is σ = 1227147902007552. Its totient is φ = 102446346240000.

The previous prime is 404421502143983. The next prime is 404421502144067. The reversal of 404421502144044 is 440441205124404.

It is a junction number, because it is equal to n+sod(n) for n = 404421502143993 and 404421502144011.

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, 755783532 + ... + 756318444.

It is an arithmetic number, because the mean of its divisors is an integer number (4260930215304).

Almost surely, 2404421502144044 is an apocalyptic number.

404421502144044 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 404421502144044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613573951003776).

404421502144044 is an abundant number, since it is smaller than the sum of its proper divisors (822726399863508).

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

404421502144044 is a wasteful number, since it uses less digits than its factorization.

404421502144044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537837 (or 537828 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 39.

Adding to 404421502144044 its reverse (440441205124404), we get a palindrome (844862707268448).

The spelling of 404421502144044 in words is "four hundred four trillion, four hundred twenty-one billion, five hundred two million, one hundred forty-four thousand, forty-four".