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444044000204 = 22729222138521
BaseRepresentation
bin1100111011000110001…
…01011011101111001100
31120110011012010101212122
412131203011123233030
524233400231001304
6535554015552112
744036552503610
oct6354305335714
91513135111778
10444044000204
11161355297672
127208552b638
1332b4747981c
14176c5899340
15b83d4479be
hex676315bbcc

444044000204 has 72 divisors (see below), whose sum is σ = 920291325408. Its totient is φ = 183637762560.

The previous prime is 444044000201. The next prime is 444044000261. The reversal of 444044000204 is 402000440444.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (444044000201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52107464 + ... + 52115984.

It is an arithmetic number, because the mean of its divisors is an integer number (12781823964).

Almost surely, 2444044000204 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 444044000204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460145662704).

444044000204 is an abundant number, since it is smaller than the sum of its proper divisors (476247325204).

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

444044000204 is a wasteful number, since it uses less digits than its factorization.

444044000204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10803 (or 10772 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 444044000204 its reverse (402000440444), we get a palindrome (846044440648).

The spelling of 444044000204 in words is "four hundred forty-four billion, forty-four million, two hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 841 1682 2213 3364 4426 5887 8521 8852 11774 15491 17042 23548 30982 34084 59647 61964 64177 119294 128354 238588 247109 256708 449239 494218 898478 988436 1729763 1796956 1861133 3459526 3722266 6919052 7166161 7444532 13027931 14332322 18856973 26055862 28664644 37713946 50163127 52111724 75427892 100326254 131998811 200652508 263997622 527995244 546852217 1093704434 2187408868 3827965519 7655931038 15311862076 15858714293 31717428586 63434857172 111011000051 222022000102 444044000204