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243420354520 = 235710115715479
BaseRepresentation
bin1110001010110011111…
…0111101011111011000
3212021022101100020022221
43202230332331133120
512442011102321040
6303454210553424
723405116605610
oct3425476753730
9767271306287
10243420354520
1194263498212
123b214b98874
1319c53ba3145
14bad2a37a40
1564ea38474a
hex38acfbd7d8

243420354520 has 128 divisors (see below), whose sum is σ = 632653286400. Its totient is φ = 82564416000.

The previous prime is 243420354493. The next prime is 243420354523. The reversal of 243420354520 is 25453024342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243420354523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44425141 + ... + 44430619.

It is an arithmetic number, because the mean of its divisors is an integer number (4942603800).

Almost surely, 2243420354520 is an apocalyptic number.

243420354520 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 243420354520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316326643200).

243420354520 is an abundant number, since it is smaller than the sum of its proper divisors (389232931880).

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

243420354520 is a wasteful number, since it uses less digits than its factorization.

243420354520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 243420354520 its reverse (25453024342), we get a palindrome (268873378862).

The spelling of 243420354520 in words is "two hundred forty-three billion, four hundred twenty million, three hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 1571 2020 2828 3142 3535 4040 5479 5656 6284 7070 7855 10958 10997 12568 14140 15710 21916 21994 27395 28280 31420 38353 43832 43988 54790 54985 62840 76706 87976 109580 109970 153412 158671 191765 219160 219940 306824 317342 383530 439880 553379 634684 767060 793355 1106758 1110697 1269368 1534120 1586710 2213516 2221394 2766895 3173420 3873653 4427032 4442788 5533790 5553485 6346840 7747306 8607509 8885576 11067580 11106970 15494612 17215018 19368265 22135160 22213940 30989224 34430036 38736530 43037545 44427880 60252563 68860072 77473060 86075090 120505126 154946120 172150180 241010252 301262815 344300360 482020504 602525630 869358409 1205051260 1738716818 2410102520 3477433636 4346792045 6085508863 6954867272 8693584090 12171017726 17387168180 24342035452 30427544315 34774336360 48684070904 60855088630 121710177260 243420354520