Search a number
-
+
303444242000 = 2453773196277
BaseRepresentation
bin1000110101001101010…
…11111010111001010000
31002000020112212122112122
410122212223322321100
514432423211221000
6351222251113412
730631426333244
oct4324653727120
91060215778478
10303444242000
11107765400299
124a986a42868
13227cb575023
1410988748424
157d5ec55085
hex46a6afae50

303444242000 has 80 divisors (see below), whose sum is σ = 734681115792. Its totient is φ = 121220057600.

The previous prime is 303444241967. The next prime is 303444242033. The reversal of 303444242000 is 242444303.

It is an interprime number because it is at equal distance from previous prime (303444241967) and next prime (303444242033).

It can be written as a sum of positive squares in 8 ways, for example, as 120065022016 + 183379219984 = 346504^2 + 428228^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1447862 + ... + 1644138.

Almost surely, 2303444242000 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 303444242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367340557896).

303444242000 is an abundant number, since it is smaller than the sum of its proper divisors (431236873792).

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

303444242000 is a wasteful number, since it uses less digits than its factorization.

303444242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197073 (or 197057 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 303444242000 its reverse (242444303), we get a palindrome (303686686303).

The spelling of 303444242000 in words is "three hundred three billion, four hundred forty-four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 773 1000 1546 2000 3092 3865 6184 7730 12368 15460 19325 30920 38650 61840 77300 96625 154600 193250 196277 309200 386500 392554 773000 785108 981385 1546000 1570216 1962770 3140432 3925540 4906925 7851080 9813850 15702160 19627700 24534625 39255400 49069250 78510800 98138500 151722121 196277000 303444242 392554000 606888484 758610605 1213776968 1517221210 2427553936 3034442420 3793053025 6068884840 7586106050 12137769680 15172212100 18965265125 30344424200 37930530250 60688848400 75861060500 151722121000 303444242000