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4444042044200 = 2352112183638101
BaseRepresentation
bin100000010101011010110…
…0011000010001100101000
3120201211211221010201200012
41000222311203002030220
51040302344230403300
613241321552031052
7636033335052263
oct100526543021450
916654757121605
104444042044200
111463786972700
125b9350832488
132630c0a3bb55
14115142849cda
157a8ee168435
hex40ab58c2328

4444042044200 has 72 divisors (see below), whose sum is σ = 11357098418190. Its totient is φ = 1616015280000.

The previous prime is 4444042044193. The next prime is 4444042044203. The reversal of 4444042044200 is 24402404444.

It can be written as a sum of positive squares in 3 ways, for example, as 4046236848676 + 397805195524 = 2011526^2 + 630718^2 .

It is not an unprimeable number, because it can be changed into a prime (4444042044203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91794851 + ... + 91843250.

Almost surely, 24444042044200 is an apocalyptic number.

4444042044200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444042044200 is an abundant number, since it is smaller than the sum of its proper divisors (6913056373990).

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

4444042044200 is a wasteful number, since it uses less digits than its factorization.

4444042044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183638139 (or 183638119 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4444042044200 its reverse (24402404444), we get a palindrome (4468444448644).

The spelling of 4444042044200 in words is "four trillion, four hundred forty-four billion, forty-two million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 183638101 367276202 734552404 918190505 1469104808 1836381010 2020019111 3672762020 4040038222 4590952525 7345524040 8080076444 9181905050 10100095555 16160152888 18363810100 20200191110 22220210221 36727620200 40400382220 44440420442 50500477775 80800764440 88880840884 101000955550 111101051105 177761681768 202001911100 222202102210 404003822200 444404204420 555505255525 888808408840 1111010511050 2222021022100 4444042044200