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243424131420 = 223553153149999
BaseRepresentation
bin1110001010110100110…
…1010111100101011100
3212021022122110010021010
43202231031113211130
512442013034201140
6303454423535220
723405163656151
oct3425515274534
9767278403233
10243424131420
1194265637918
123b2162ba510
1319c548c62b2
14bad333c228
1564ea87d880
hex38ad35795c

243424131420 has 96 divisors (see below), whose sum is σ = 694915200000. Its totient is φ = 63645454080.

The previous prime is 243424131409. The next prime is 243424131437. The reversal of 243424131420 is 24131424342.

243424131420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4843581 + ... + 4893579.

It is an arithmetic number, because the mean of its divisors is an integer number (7238700000).

Almost surely, 2243424131420 is an apocalyptic number.

243424131420 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 243424131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347457600000).

243424131420 is an abundant number, since it is smaller than the sum of its proper divisors (451491068580).

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

243424131420 is a wasteful number, since it uses less digits than its factorization.

243424131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51595 (or 51593 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 243424131420 its reverse (24131424342), we get a palindrome (267555555762).

The spelling of 243424131420 in words is "two hundred forty-three billion, four hundred twenty-four million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1531 1590 3062 3180 4593 6124 7655 9186 15310 18372 22965 30620 45930 49999 81143 91860 99998 149997 162286 199996 243429 249995 299994 324572 405715 486858 499990 599988 749985 811430 973716 999980 1217145 1499970 1622860 2434290 2649947 2999940 4868580 5299894 7949841 10599788 13249735 15899682 26499470 31799364 39749205 52998940 76548469 79498410 153096938 158996820 229645407 306193876 382742345 459290814 765484690 918581628 1148227035 1530969380 2296454070 4057068857 4592908140 8114137714 12171206571 16228275428 20285344285 24342413142 40570688570 48684826284 60856032855 81141377140 121712065710 243424131420