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2143240000 = 2654114871
BaseRepresentation
bin111111110111111…
…0011111101000000
312112100212212120021
41333233303331000
513342132140000
6552401023224
7104053145056
oct17757637500
95470785507
102143240000
119aa891a30
124b9924b14
1328204a365
141649041d6
15c825911a
hex7fbf3f40

2143240000 has 140 divisors (see below), whose sum is σ = 5798868768. Its totient is φ = 779200000.

The previous prime is 2143239977. The next prime is 2143240003. The reversal of 2143240000 is 423412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 437565 + ... + 442435.

Almost surely, 22143240000 is an apocalyptic number.

2143240000 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 2143240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899434384).

2143240000 is an abundant number, since it is smaller than the sum of its proper divisors (3655628768).

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

2143240000 is an equidigital number, since it uses as much as digits as its factorization.

2143240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2143240000 is about 46295.1401337117. The cubic root of 2143240000 is about 1289.3087657444.

Adding to 2143240000 its reverse (423412), we get a palindrome (2143663412).

The spelling of 2143240000 in words is "two billion, one hundred forty-three million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 4871 5000 5500 6875 8000 8800 9742 10000 11000 13750 17600 19484 20000 22000 24355 27500 38968 40000 44000 48710 53581 55000 77936 88000 97420 107162 110000 121775 155872 194840 214324 220000 243550 267905 311744 389680 428648 440000 487100 535810 608875 779360 857296 974200 1071620 1217750 1339525 1558720 1714592 1948400 2143240 2435500 2679050 3044375 3429184 3896800 4286480 4871000 5358100 6088750 6697625 7793600 8572960 9742000 10716200 12177500 13395250 17145920 19484000 21432400 24355000 26790500 33488125 38968000 42864800 48710000 53581000 66976250 85729600 97420000 107162000 133952500 194840000 214324000 267905000 428648000 535810000 1071620000 2143240000