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4444034241020 = 22511101226788223
BaseRepresentation
bin100000010101011010100…
…0101010001000111111100
3120201211211101110021201112
41000222311011101013330
51040302340231203040
613241321112501152
7636033211532423
oct100526505210774
916654741407645
104444034241020
111463782522aa0
125b934a0aa7b8
132630bc23919a
141151417b82ba
157a8ed626365
hex40ab51511fc

4444034241020 has 96 divisors (see below), whose sum is σ = 10286331181056. Its totient is φ = 1599288416000.

The previous prime is 4444034241001. The next prime is 4444034241037. The reversal of 4444034241020 is 201424304444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50328629 + ... + 50416851.

It is an arithmetic number, because the mean of its divisors is an integer number (107149283136).

Almost surely, 24444034241020 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 4444034241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143165590528).

4444034241020 is an abundant number, since it is smaller than the sum of its proper divisors (5842296940036).

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

4444034241020 is a wasteful number, since it uses less digits than its factorization.

4444034241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90611 (or 90609 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4444034241020 its reverse (201424304444), we get a palindrome (4645458545464).

It can be divided in two parts, 444403424 and 1020, that added together give a palindrome (444404444).

The spelling of 4444034241020 in words is "four trillion, four hundred forty-four billion, thirty-four million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2267 4444 4534 5555 9068 11110 11335 22220 22670 24937 45340 49874 88223 99748 124685 176446 228967 249370 352892 441115 457934 498740 882230 915868 970453 1144835 1764460 1940906 2289670 2518637 3881812 4579340 4852265 5037274 8910523 9704530 10074548 12593185 17821046 19409060 25186370 35642092 44552615 50372740 89105230 98015753 178210460 196031506 200001541 392063012 400003082 490078765 800006164 980157530 1000007705 1960315060 2000015410 2200016951 4000030820 4400033902 8800067804 11000084755 20200155641 22000169510 40400311282 44000339020 80800622564 101000778205 202001556410 222201712051 404003112820 444403424102 888806848204 1111008560255 2222017120510 4444034241020