Search a number
-
+
44442210420 = 22325246901169
BaseRepresentation
bin101001011000111101…
…100101000001110100
311020201020212012121100
4221120331211001310
51212004201213140
632225542450100
73132214361406
oct513075450164
9136636765540
1044442210420
1117936518523
128743733930
1342634a423a
142218552b76
1512519ac530
hexa58f65074

44442210420 has 36 divisors (see below), whose sum is σ = 134808038820. Its totient is φ = 11851256064.

The previous prime is 44442210367. The next prime is 44442210457. The reversal of 44442210420 is 2401224444.

44442210420 is a `hidden beast` number, since 4 + 4 + 442 + 210 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35131504356 + 9310706064 = 187434^2 + 96492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×444422104203 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123450405 + ... + 123450764.

It is an arithmetic number, because the mean of its divisors is an integer number (3744667745).

Almost surely, 244442210420 is an apocalyptic number.

It is an amenable number.

44442210420 is an abundant number, since it is smaller than the sum of its proper divisors (90365828400).

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

44442210420 is a wasteful number, since it uses less digits than its factorization.

44442210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246901184 (or 246901179 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 44442210420 its reverse (2401224444), we get a palindrome (46843434864).

The spelling of 44442210420 in words is "forty-four billion, four hundred forty-two million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 246901169 493802338 740703507 987604676 1234505845 1481407014 2222110521 2469011690 2962814028 3703517535 4444221042 4938023380 7407035070 8888442084 11110552605 14814070140 22221105210 44442210420