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412320424000 = 265351540053
BaseRepresentation
bin1100000000000000011…
…01100110000001000000
31110102021022121202102211
412000000031212001000
523223413012032000
6513230053351504
741534453530342
oct6000015460100
91412238552384
10412320424000
111499561482a1
1267ab1338594
132cb5cca2064
1415d5658d292
15aad335e7ba
hex6000366040

412320424000 has 56 divisors (see below), whose sum is σ = 1021111549848. Its totient is φ = 164928166400.

The previous prime is 412320423971. The next prime is 412320424003. The reversal of 412320424000 is 424023214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94789696 + 412225634304 = 9736^2 + 642048^2 .

It is not an unprimeable number, because it can be changed into a prime (412320424003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25762027 + ... + 25778026.

Almost surely, 2412320424000 is an apocalyptic number.

412320424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412320424000 is an abundant number, since it is smaller than the sum of its proper divisors (608791125848).

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

412320424000 is an equidigital number, since it uses as much as digits as its factorization.

412320424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51540080 (or 51540060 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 412320424000 its reverse (424023214), we get a palindrome (412744447214).

The spelling of 412320424000 in words is "four hundred twelve billion, three hundred twenty million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 51540053 103080106 206160212 257700265 412320424 515400530 824640848 1030801060 1288501325 1649281696 2061602120 2577002650 3298563392 4123204240 5154005300 6442506625 8246408480 10308010600 12885013250 16492816960 20616021200 25770026500 41232042400 51540053000 82464084800 103080106000 206160212000 412320424000