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412122040144 = 2442701603209
BaseRepresentation
bin1011111111101000110…
…00110100011101010000
31110101202111022210221121
411333310120310131100
523223011220241034
6513154245332024
741526524353633
oct5776430643520
91411674283847
10412122040144
111498641695a1
1267a56a07014
132cb2ab62569
1415d380abc1a
15aac0c241b4
hex5ff4634750

412122040144 has 20 divisors (see below), whose sum is σ = 798506476020. Its totient is φ = 206055852800.

The previous prime is 412122040093. The next prime is 412122040147. The reversal of 412122040144 is 441040221214.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 389625640000 + 22496400144 = 624200^2 + 149988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412122040147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381612 + ... + 984820.

It is an arithmetic number, because the mean of its divisors is an integer number (39925323801).

Almost surely, 2412122040144 is an apocalyptic number.

It is an amenable number.

412122040144 is a deficient number, since it is larger than the sum of its proper divisors (386384435876).

412122040144 is a wasteful number, since it uses less digits than its factorization.

412122040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645918 (or 645912 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 412122040144 its reverse (441040221214), we get a palindrome (853162261358).

The spelling of 412122040144 in words is "four hundred twelve billion, one hundred twenty-two million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 42701 85402 170804 341608 603209 683216 1206418 2412836 4825672 9651344 25757627509 51515255018 103030510036 206061020072 412122040144