Search a number
-
+
4440003102020 = 2251724375358569
BaseRepresentation
bin100000010011100010011…
…0011101100010101000100
3120201110102110011012121002
41000213010303230111010
51040221111243231040
613235413111312432
7635531262444533
oct100470463542504
916643373135532
104440003102020
111461aa4000662
125b860407b718
132628c9034235
14114c7c27a31a
157a76479ea15
hex409c4cec544

4440003102020 has 48 divisors (see below), whose sum is σ = 9876530406960. Its totient is φ = 1670844370944.

The previous prime is 4440003101993. The next prime is 4440003102103. The reversal of 4440003102020 is 202013000444.

It can be written as a sum of positive squares in 8 ways, for example, as 1801737074944 + 2638266027076 = 1342288^2 + 1624274^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4440003101983 and 4440003102001.

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 15 ways as a sum of consecutive naturals, for example, 1850705 + ... + 3507864.

It is an arithmetic number, because the mean of its divisors is an integer number (205761050145).

Almost surely, 24440003102020 is an apocalyptic number.

It is an amenable number.

4440003102020 is an abundant number, since it is smaller than the sum of its proper divisors (5436527304940).

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

4440003102020 is a wasteful number, since it uses less digits than its factorization.

4440003102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361032 (or 5361030 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4440003102020 its reverse (202013000444), we get a palindrome (4642016102464).

The spelling of 4440003102020 in words is "four trillion, four hundred forty billion, three million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2437 4874 9748 12185 24370 41429 48740 82858 165716 207145 414290 828580 5358569 10717138 21434276 26792845 53585690 91095673 107171380 182191346 364382692 455478365 910956730 1821913460 13058832653 26117665306 52235330612 65294163265 130588326530 222000155101 261176653060 444000310202 888000620404 1110000775505 2220001551010 4440003102020