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41439609000 = 23325319323857
BaseRepresentation
bin100110100101111111…
…100100000010101000
310221221222221020210100
4212211333210002220
51134332014442000
631012002345400
72664624602406
oct464577440250
9127858836710
1041439609000
1116635640649
12804605b260
133ba53bb8ca
142011870476
1511280a2a00
hex9a5fe40a8

41439609000 has 192 divisors, whose sum is σ = 140797509840. Its totient is φ = 10992844800.

The previous prime is 41439608993. The next prime is 41439609031. The reversal of 41439609000 is 90693414.

41439609000 is a `hidden beast` number, since 4 + 1 + 43 + 9 + 609 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2218975236 + 39220633764 = 47106^2 + 198042^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1725072 + ... + 1748928.

Almost surely, 241439609000 is an apocalyptic number.

41439609000 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 41439609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70398754920).

41439609000 is an abundant number, since it is smaller than the sum of its proper divisors (99357900840).

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

41439609000 is a wasteful number, since it uses less digits than its factorization.

41439609000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24077 (or 24060 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 41439609000 in words is "forty-one billion, four hundred thirty-nine million, six hundred nine thousand".