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20444330000 = 24549912063
BaseRepresentation
bin10011000010100100…
…111011100000010000
31221202210121120102102
4103002210323200100
5313332222030000
613220400535532
71322425636433
oct230244734020
957683546372
1020444330000
1187413227a6
123b669215a8
131c0a76a8b3
14dbd30981a
157e9c893d5
hex4c293b810

20444330000 has 100 divisors (see below), whose sum is σ = 49571731968. Its totient is φ = 8165520000.

The previous prime is 20444329991. The next prime is 20444330017. The reversal of 20444330000 is 3344402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9908969 + ... + 9911031.

Almost surely, 220444330000 is an apocalyptic number.

20444330000 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 20444330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24785865984).

20444330000 is an abundant number, since it is smaller than the sum of its proper divisors (29127401968).

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

20444330000 is an equidigital number, since it uses as much as digits as its factorization.

20444330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 20444330000 its reverse (3344402), we get a palindrome (20447674402).

The spelling of 20444330000 in words is "twenty billion, four hundred forty-four million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 991 1000 1250 1982 2000 2063 2500 3964 4126 4955 5000 7928 8252 9910 10000 10315 15856 16504 19820 20630 24775 33008 39640 41260 49550 51575 79280 82520 99100 103150 123875 165040 198200 206300 247750 257875 396400 412600 495500 515750 619375 825200 991000 1031500 1238750 1289375 1982000 2044433 2063000 2477500 2578750 4088866 4126000 4955000 5157500 8177732 9910000 10222165 10315000 16355464 20444330 20630000 32710928 40888660 51110825 81777320 102221650 163554640 204443300 255554125 408886600 511108250 817773200 1022216500 1277770625 2044433000 2555541250 4088866000 5111082500 10222165000 20444330000