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412104440000 = 2654116071543
BaseRepresentation
bin1011111111100110101…
…01101011100011000000
31110101201021012122002102
411333303111223203000
523222442214040000
6513152420205532
741526221641361
oct5776325534300
91411637178072
10412104440000
11149855238320
1267a50b398a8
132cb2730c586
1415d35a09b68
15aabe3e93d5
hex5ff356b8c0

412104440000 has 280 divisors, whose sum is σ = 1117343935488. Its totient is φ = 149512320000.

The previous prime is 412104439997. The next prime is 412104440009. The reversal of 412104440000 is 44401214.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (412104440009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267079229 + ... + 267080771.

Almost surely, 2412104440000 is an apocalyptic number.

412104440000 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 412104440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558671967744).

412104440000 is an abundant number, since it is smaller than the sum of its proper divisors (705239495488).

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

412104440000 is a wasteful number, since it uses less digits than its factorization.

412104440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 412104440000 its reverse (44401214), we get a palindrome (412148841214).

The spelling of 412104440000 in words is "four hundred twelve billion, one hundred four million, four hundred forty thousand".