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21144234000 = 243539773607
BaseRepresentation
bin10011101100010010…
…110110100000010000
32000120120121101012210
4103230102312200100
5321300410442000
613414042152120
71345655011041
oct235422664020
960516541183
1021144234000
118a70406a5a
1241211b2640
131cbc775386
14104825a8c8
1583b43d350
hex4ec4b6810

21144234000 has 160 divisors (see below), whose sum is σ = 68257702656. Its totient is φ = 5631129600.

The previous prime is 21144233969. The next prime is 21144234019. The reversal of 21144234000 is 43244112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5860197 + ... + 5863803.

Almost surely, 221144234000 is an apocalyptic number.

21144234000 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 21144234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34128851328).

21144234000 is an abundant number, since it is smaller than the sum of its proper divisors (47113468656).

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

21144234000 is a wasteful number, since it uses less digits than its factorization.

21144234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21144234000 its reverse (43244112), we get a palindrome (21187478112).

The spelling of 21144234000 in words is "twenty-one billion, one hundred forty-four million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 977 1000 1200 1500 1954 2000 2931 3000 3607 3908 4885 5862 6000 7214 7816 9770 10821 11724 14428 14655 15632 18035 19540 21642 23448 24425 28856 29310 36070 39080 43284 46896 48850 54105 57712 58620 72140 73275 78160 86568 90175 97700 108210 117240 122125 144280 146550 173136 180350 195400 216420 234480 244250 270525 288560 293100 360700 366375 390800 432840 450875 488500 541050 586200 721400 732750 865680 901750 977000 1082100 1172400 1352625 1442800 1465500 1803500 1954000 2164200 2705250 2931000 3524039 3607000 4328400 5410500 5862000 7048078 7214000 10572117 10821000 14096156 17620195 21144234 21642000 28192312 35240390 42288468 52860585 56384624 70480780 84576936 88100975 105721170 140961560 169153872 176201950 211442340 264302925 281923120 352403900 422884680 440504875 528605850 704807800 845769360 881009750 1057211700 1321514625 1409615600 1762019500 2114423400 2643029250 3524039000 4228846800 5286058500 7048078000 10572117000 21144234000