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424340330000 = 2454271315641
BaseRepresentation
bin1100010110011001010…
…01111001011000010000
31111120022000012020200112
412023030221321120100
523423022111030000
6522534513540452
742441356202146
oct6131451713020
91446260166615
10424340330000
11153a64065604
126a2a6874728
13310272b6282
1416776aad596
15b088713235
hex62cca79610

424340330000 has 100 divisors (see below), whose sum is σ = 1027814765868. Its totient is φ = 169662720000.

The previous prime is 424340329993. The next prime is 424340330137. The reversal of 424340330000 is 33043424.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 56468967424 + 367871362576 = 237632^2 + 606524^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27122180 + ... + 27137820.

Almost surely, 2424340330000 is an apocalyptic number.

424340330000 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 424340330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513907382934).

424340330000 is an abundant number, since it is smaller than the sum of its proper divisors (603474435868).

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

424340330000 is a wasteful number, since it uses less digits than its factorization.

424340330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18382 (or 18361 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 424340330000 its reverse (33043424), we get a palindrome (424373373424).

The spelling of 424340330000 in words is "four hundred twenty-four billion, three hundred forty million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2713 5000 5426 10000 10852 13565 15641 21704 27130 31282 43408 54260 62564 67825 78205 108520 125128 135650 156410 217040 250256 271300 312820 339125 391025 542600 625640 678250 782050 1085200 1251280 1356500 1564100 1695625 1955125 2713000 3128200 3391250 3910250 5426000 6256400 6782500 7820500 9775625 13565000 15641000 19551250 27130000 31282000 39102500 42434033 78205000 84868066 156410000 169736132 212170165 339472264 424340330 678944528 848680660 1060850825 1697361320 2121701650 3394722640 4243403300 5304254125 8486806600 10608508250 16973613200 21217016500 26521270625 42434033000 53042541250 84868066000 106085082500 212170165000 424340330000