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4243420000 = 2554331641
BaseRepresentation
bin1111110011101101…
…0111001101100000
3101221201202001220201
43330323113031200
532142303420000
61541023114544
7210104321611
oct37473271540
911851661821
104243420000
111888333286
129a5142a54
1352819c111
142c37d9c08
1519c80996a
hexfced7360

4243420000 has 120 divisors (see below), whose sum is σ = 10487324232. Its totient is φ = 1689600000.

The previous prime is 4243419979. The next prime is 4243420001. The reversal of 4243420000 is 243424.

It is a super-2 number, since 2×42434200002 = 36013226592800000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4243420000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6619680 + ... + 6620320.

Almost surely, 24243420000 is an apocalyptic number.

4243420000 is a gapful number since it is divisible by the number (40) 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 4243420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243662116).

4243420000 is an abundant number, since it is smaller than the sum of its proper divisors (6243904232).

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

4243420000 is an equidigital number, since it uses as much as digits as its factorization.

4243420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4243420000 is about 65141.5382071993. The cubic root of 4243420000 is about 1618.9695219648.

Adding to 4243420000 its reverse (243424), we get a palindrome (4243663424).

The spelling of 4243420000 in words is "four billion, two hundred forty-three million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 331 400 500 625 641 662 800 1000 1250 1282 1324 1655 2000 2500 2564 2648 3205 3310 4000 5000 5128 5296 6410 6620 8275 10000 10256 10592 12820 13240 16025 16550 20000 20512 25640 26480 32050 33100 41375 51280 52960 64100 66200 80125 82750 102560 128200 132400 160250 165500 206875 212171 256400 264800 320500 331000 400625 413750 424342 512800 641000 662000 801250 827500 848684 1060855 1282000 1324000 1602500 1655000 1697368 2121710 2564000 3205000 3310000 3394736 4243420 5304275 6410000 6620000 6789472 8486840 10608550 12820000 16973680 21217100 26521375 33947360 42434200 53042750 84868400 106085500 132606875 169736800 212171000 265213750 424342000 530427500 848684000 1060855000 2121710000 4243420000