Search a number
-
+
2444000042020 = 225536337363841
BaseRepresentation
bin100011100100001001110…
…000010001110000100100
322122122101120020221112211
4203210021300101300210
5310020303002321040
65110431430453204
7341400412406665
oct43441160216044
98578346227484
102444000042020
11862549343a79
123357b6804204
1314961188c824
148640c58536c
15438926408ea
hex23909c11c24

2444000042020 has 48 divisors (see below), whose sum is σ = 5230077391728. Its totient is φ = 959000739840.

The previous prime is 2444000042017. The next prime is 2444000042087. The reversal of 2444000042020 is 202400004442.

It can be written as a sum of positive squares in 8 ways, for example, as 297827781696 + 2146172260324 = 545736^2 + 1464982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2444000041982 and 2444000042000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6535300 + ... + 6899140.

It is an arithmetic number, because the mean of its divisors is an integer number (108959945661).

Almost surely, 22444000042020 is an apocalyptic number.

2444000042020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444000042020 is an abundant number, since it is smaller than the sum of its proper divisors (2786077349708).

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

2444000042020 is a wasteful number, since it uses less digits than its factorization.

2444000042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370240 (or 370238 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2444000042020 its reverse (202400004442), we get a palindrome (2646400046462).

The spelling of 2444000042020 in words is "two trillion, four hundred forty-four billion, forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 6337 12674 25348 31685 63370 126740 335861 363841 671722 727682 1343444 1455364 1679305 1819205 3358610 3638410 6717220 7276820 19283573 38567146 77134292 96417865 192835730 385671460 2305660417 4611320834 9222641668 11528302085 23056604170 46113208340 122200002101 244400004202 488800008404 611000010505 1222000021010 2444000042020