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21423144300 = 22352374014813
BaseRepresentation
bin10011111100111010…
…110011110101101100
32001022000102111012220
4103330322303311230
5322333311104200
613501444155340
71355612502435
oct237472636554
961260374186
1021423144300
1190a3896438
12419a698b50
13203549aa5c
14107330048c
15855b834a0
hex4fceb3d6c

21423144300 has 144 divisors (see below), whose sum is σ = 63831560352. Its totient is φ = 5543424000.

The previous prime is 21423144283. The next prime is 21423144313. The reversal of 21423144300 is 344132412.

It is a super-2 number, since 2×214231443002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4448694 + ... + 4453506.

Almost surely, 221423144300 is an apocalyptic number.

21423144300 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 21423144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31915780176).

21423144300 is an abundant number, since it is smaller than the sum of its proper divisors (42408416052).

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

21423144300 is a wasteful number, since it uses less digits than its factorization.

21423144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21423144300 its reverse (344132412), we get a palindrome (21767276712).

The spelling of 21423144300 in words is "twenty-one billion, four hundred twenty-three million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 401 444 555 740 802 925 1110 1203 1604 1850 2005 2220 2406 2775 3700 4010 4812 4813 5550 6015 8020 9626 10025 11100 12030 14439 14837 19252 20050 24060 24065 28878 29674 30075 40100 44511 48130 57756 59348 60150 72195 74185 89022 96260 120300 120325 144390 148370 178044 178081 222555 240650 288780 296740 356162 360975 370925 445110 481300 534243 712324 721950 741850 890220 890405 1068486 1112775 1443900 1483700 1780810 1930013 2136972 2225550 2671215 3561620 3860026 4451100 4452025 5342430 5790039 7720052 8904050 9650065 10684860 11580078 13356075 17808100 19300130 23160156 26712150 28950195 38600260 48250325 53424300 57900390 71410481 96500650 115800780 142820962 144750975 193001300 214231443 285641924 289501950 357052405 428462886 579003900 714104810 856925772 1071157215 1428209620 1785262025 2142314430 3570524050 4284628860 5355786075 7141048100 10711572150 21423144300