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42009438440 = 2353046934469
BaseRepresentation
bin100111000111111101…
…010010100011101000
311000102201011120211102
4213013331102203220
51142013404012230
631144320020532
73015014222624
oct470775224350
9130381146742
1042009438440
11168a8261972
128184a61748
133c664829a8
142067402184
15115d111045
hex9c7f528e8

42009438440 has 32 divisors (see below), whose sum is σ = 94527081000. Its totient is φ = 16802736384.

The previous prime is 42009438431. The next prime is 42009438481. The reversal of 42009438440 is 4483490024.

It can be written as a sum of positive squares in 4 ways, for example, as 35629582564 + 6379855876 = 188758^2 + 79874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42009438394 and 42009438403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1201526 + ... + 1235994.

Almost surely, 242009438440 is an apocalyptic number.

42009438440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42009438440 is an abundant number, since it is smaller than the sum of its proper divisors (52517642560).

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

42009438440 is a wasteful number, since it uses less digits than its factorization.

42009438440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64949 (or 64945 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 42009438440 in words is "forty-two billion, nine million, four hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 30469 34469 60938 68938 121876 137876 152345 172345 243752 275752 304690 344690 609380 689380 1218760 1378760 1050235961 2100471922 4200943844 5251179805 8401887688 10502359610 21004719220 42009438440