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412347994240 = 2757132544627
BaseRepresentation
bin1100000000000011101…
…10110001000010000000
31110102100020111110200211
412000001312301002000
523223442041303430
6513232520323504
741535240056140
oct6000166610200
91412306443624
10412347994240
1114996a769216
1267aba613594
132cb65906100
1415d5a0c8920
15aad59a872a
hex6001db1080

412347994240 has 192 divisors, whose sum is σ = 1219923149760. Its totient is φ = 130501103616.

The previous prime is 412347994217. The next prime is 412347994243. The reversal of 412347994240 is 42499743214.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (412347994243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484807 + ... + 1029433.

It is an arithmetic number, because the mean of its divisors is an integer number (6353766405).

Almost surely, 2412347994240 is an apocalyptic number.

412347994240 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 412347994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609961574880).

412347994240 is an abundant number, since it is smaller than the sum of its proper divisors (807575155520).

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

412347994240 is a wasteful number, since it uses less digits than its factorization.

412347994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544679 (or 544654 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 412347994240 in words is "four hundred twelve billion, three hundred forty-seven million, nine hundred ninety-four thousand, two hundred forty".