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21304240000 = 2754283941
BaseRepresentation
bin10011110101110101…
…001110011110000000
32000222201200112011221
4103311311032132000
5322112341140000
613441555444424
71352640023611
oct236565163600
960881615157
1021304240000
11904276291a
1241668b6714
132016968794
1410615cbc08
1584a4e761a
hex4f5d4e780

21304240000 has 160 divisors (see below), whose sum is σ = 53279538840. Its totient is φ = 8482560000.

The previous prime is 21304239889. The next prime is 21304240007. The reversal of 21304240000 is 4240312.

It is a tau number, because it is divible by the number of its divisors (160).

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 (21304240007) 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, 22639530 + ... + 22640470.

Almost surely, 221304240000 is an apocalyptic number.

21304240000 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 21304240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26639769420).

21304240000 is an abundant number, since it is smaller than the sum of its proper divisors (31975298840).

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

21304240000 is an frugal number, since it uses more digits than its factorization.

21304240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1231 counting only the distinct ones).

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

Adding to 21304240000 its reverse (4240312), we get a palindrome (21308480312).

The spelling of 21304240000 in words is "twenty-one billion, three hundred four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 283 320 400 500 566 625 640 800 941 1000 1132 1250 1415 1600 1882 2000 2264 2500 2830 3200 3764 4000 4528 4705 5000 5660 7075 7528 8000 9056 9410 10000 11320 14150 15056 16000 18112 18820 20000 22640 23525 28300 30112 35375 36224 37640 40000 45280 47050 56600 60224 70750 75280 80000 90560 94100 113200 117625 120448 141500 150560 176875 181120 188200 226400 235250 266303 283000 301120 353750 376400 452800 470500 532606 566000 588125 602240 707500 752800 905600 941000 1065212 1132000 1176250 1331515 1415000 1505600 1882000 2130424 2264000 2352500 2663030 2830000 3011200 3764000 4260848 4528000 4705000 5326060 5660000 6657575 7528000 8521696 9410000 10652120 11320000 13315150 15056000 17043392 18820000 21304240 22640000 26630300 33287875 34086784 37640000 42608480 53260600 66575750 75280000 85216960 106521200 133151500 166439375 170433920 213042400 266303000 332878750 426084800 532606000 665757500 852169600 1065212000 1331515000 2130424000 2663030000 4260848000 5326060000 10652120000 21304240000