Search a number
-
+
2304114140000 = 2554941312239
BaseRepresentation
bin100001100001110111111…
…001111010001101100000
322011021022200020211210202
4201201313321322031200
5300222311204440000
64522255002244332
7325316045020601
oct41416771721540
98137280224722
102304114140000
11809195400392
123126771b66a8
1313937a83923a
147d73c177da8
153ee0695add5
hex21877e7a360

2304114140000 has 120 divisors (see below), whose sum is σ = 5669531794080. Its totient is φ = 921472448000.

The previous prime is 2304114139993. The next prime is 2304114140017. The reversal of 2304114140000 is 414114032.

2304114140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188253881 + ... + 188266119.

It is an arithmetic number, because the mean of its divisors is an integer number (47246098284).

Almost surely, 22304114140000 is an apocalyptic number.

2304114140000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304114140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834765897040).

2304114140000 is an abundant number, since it is smaller than the sum of its proper divisors (3365417654080).

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

2304114140000 is an equidigital number, since it uses as much as digits as its factorization.

2304114140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21682 (or 21659 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2304114140000 its reverse (414114032), we get a palindrome (2304528254032).

The spelling of 2304114140000 in words is "two trillion, three hundred four billion, one hundred fourteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 9413 10000 12239 18826 20000 24478 37652 47065 48956 61195 75304 94130 97912 122390 150608 188260 195824 235325 244780 301216 305975 376520 391648 470650 489560 611950 753040 941300 979120 1176625 1223900 1506080 1529875 1882600 1958240 2353250 2447800 3059750 3765200 4706500 4895600 5883125 6119500 7530400 7649375 9413000 9791200 11766250 12239000 15298750 18826000 23532500 24478000 30597500 37652000 47065000 48956000 61195000 94130000 115205707 122390000 188260000 230411414 244780000 460822828 576028535 921645656 1152057070 1843291312 2304114140 2880142675 3686582624 4608228280 5760285350 9216456560 11520570700 14400713375 18432913120 23041141400 28801426750 46082282800 57602853500 72003566875 92164565600 115205707000 144007133750 230411414000 288014267500 460822828000 576028535000 1152057070000 2304114140000