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494029841040 = 24345292269337
BaseRepresentation
bin1110011000001100111…
…10010010001010010000
31202020011210022012210000
413030012132102022100
531043233114403130
61014542034010000
750456343235161
oct7140636221220
91666153265700
10494029841040
11180575a6972a
127b8b5716900
13377822cc838
1419ca8381768
15ccb6942260
hex7306792290

494029841040 has 600 divisors, whose sum is σ = 1788944774760. Its totient is φ = 126349590528.

The previous prime is 494029841029. The next prime is 494029841047. The reversal of 494029841040 is 40148920494.

It can be written as a sum of positive squares in 12 ways, for example, as 265056106896 + 228973734144 = 514836^2 + 478512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (494029841047) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1465963752 + ... + 1465964088.

Almost surely, 2494029841040 is an apocalyptic number.

494029841040 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 494029841040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894472387380).

494029841040 is an abundant number, since it is smaller than the sum of its proper divisors (1294914933720).

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

494029841040 is a wasteful number, since it uses less digits than its factorization.

494029841040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 494029841040 in words is "four hundred ninety-four billion, twenty-nine million, eight hundred forty-one thousand, forty".