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413230304000 = 285312913447
BaseRepresentation
bin1100000001101100111…
…00100000101100000000
31110111121201201110011002
412000312130200230000
523232243424212000
6513500235311132
741566142425613
oct6006634405400
91414551643132
10413230304000
1114a282808638
1268105bab4a8
132cc766477a7
141600135c17a
15ab3818d8d5
hex6036720b00

413230304000 has 72 divisors (see below), whose sum is σ = 1029408420768. Its totient is φ = 165292108800.

The previous prime is 413230303991. The next prime is 413230304059. The reversal of 413230304000 is 403032314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6424724 + ... + 6488723.

Almost surely, 2413230304000 is an apocalyptic number.

413230304000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413230304000 is an abundant number, since it is smaller than the sum of its proper divisors (616178116768).

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

413230304000 is an equidigital number, since it uses as much as digits as its factorization.

413230304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12913478 (or 12913454 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 413230304000 its reverse (403032314), we get a palindrome (413633336314).

The spelling of 413230304000 in words is "four hundred thirteen billion, two hundred thirty million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 12913447 25826894 51653788 64567235 103307576 129134470 206615152 258268940 322836175 413230304 516537880 645672350 826460608 1033075760 1291344700 1614180875 1652921216 2066151520 2582689400 3228361750 3305842432 4132303040 5165378800 6456723500 8264606080 10330757600 12913447000 16529212160 20661515200 25826894000 41323030400 51653788000 82646060800 103307576000 206615152000 413230304000