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4214424000 = 26353175601
BaseRepresentation
bin1111101100110011…
…0000000111000000
3101212201011220212210
43323030300013000
532112343032000
61534105422120
7206303004303
oct37314600700
911781156783
104214424000
111872a29146
1299749a940
13522189117
142bda0cb3a
15199ecd350
hexfb3301c0

4214424000 has 112 divisors (see below), whose sum is σ = 13916107296. Its totient is φ = 1123840000.

The previous prime is 4214423971. The next prime is 4214424047. The reversal of 4214424000 is 4244124.

It is a super-2 number, since 2×42144240002 = 35522739303552000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63801 + ... + 111800.

It is an arithmetic number, because the mean of its divisors is an integer number (124250958).

Almost surely, 24214424000 is an apocalyptic number.

4214424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214424000 is an abundant number, since it is smaller than the sum of its proper divisors (9701683296).

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

4214424000 is a wasteful number, since it uses less digits than its factorization.

4214424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175631 (or 175611 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4214424000 is about 64918.5951788854. The cubic root of 4214424000 is about 1615.2735273337.

Adding to 4214424000 its reverse (4244124), we get a palindrome (4218668124).

The spelling of 4214424000 in words is "four billion, two hundred fourteen million, four hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 175601 351202 526803 702404 878005 1053606 1404808 1756010 2107212 2634015 2809616 3512020 4214424 4390025 5268030 5619232 7024040 8428848 8780050 10536060 11238464 13170075 14048080 16857696 17560100 21072120 21950125 26340150 28096160 33715392 35120200 42144240 43900250 52680300 56192320 65850375 70240400 84288480 87800500 105360600 131700750 140480800 168576960 175601000 210721200 263401500 280961600 351202000 421442400 526803000 702404000 842884800 1053606000 1404808000 2107212000 4214424000