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4444244420 = 22571110128573
BaseRepresentation
bin1000010001110010…
…11100100111000100
3102110201122000020012
410020321130213010
533100211310140
62012555325352
7215063311550
oct41071344704
912421560205
104444244420
111980729680
12a40450858
1355a984735
14302354860
151b0278265
hex108e5c9c4

4444244420 has 96 divisors (see below), whose sum is σ = 11751457536. Its totient is φ = 1371456000.

The previous prime is 4444244417. The next prime is 4444244423. The reversal of 4444244420 is 244424444.

It is an interprime number because it is at equal distance from previous prime (4444244417) and next prime (4444244423).

It is a super-3 number, since 3×44442444203 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4444244423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141254 + ... + 169826.

It is an arithmetic number, because the mean of its divisors is an integer number (122411016).

Almost surely, 24444244420 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 4444244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875728768).

4444244420 is an abundant number, since it is smaller than the sum of its proper divisors (7307213116).

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

4444244420 is a wasteful number, since it uses less digits than its factorization.

4444244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28701 (or 28699 counting only the distinct ones).

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

The square root of 4444244420 is about 66665.1664664538. The cubic root of 4444244420 is about 1644.1167173819.

Adding to 4444244420 its reverse (244424444), we get a palindrome (4688668864).

It can be divided in two parts, 444424 and 4420, that added together give a palindrome (448844).

The spelling of 4444244420 in words is "four billion, four hundred forty-four million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 28573 31108 38885 57146 77770 114292 142865 155540 200011 285730 314303 400022 571460 628606 800044 1000055 1257212 1571515 2000110 2200121 2885873 3143030 4000220 4400242 5771746 6286060 8800484 11000605 11543492 14429365 20201111 22001210 28858730 31744603 40402222 44002420 57717460 63489206 80804444 101005555 126978412 158723015 202011110 222212221 317446030 404022220 444424442 634892060 888848884 1111061105 2222122210 4444244420