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42004383360 = 2735179713267
BaseRepresentation
bin100111000111101010…
…000000011010000000
311000102100122202120020
4213013222000122000
51142011110231420
631144015413440
73014623240032
oct470752003200
9130370582506
1042004383360
11168a5419a15
128183224280
133c65402b14
142066887c52
15115c963340
hex9c7a80680

42004383360 has 256 divisors, whose sum is σ = 143237082240. Its totient is φ = 10432806912.

The previous prime is 42004383349. The next prime is 42004383371. The reversal of 42004383360 is 6338340024.

It is an interprime number because it is at equal distance from previous prime (42004383349) and next prime (42004383371).

It is a super-3 number, since 3×420043833603 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3159447 + ... + 3172713.

Almost surely, 242004383360 is an apocalyptic number.

42004383360 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 42004383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71618541120).

42004383360 is an abundant number, since it is smaller than the sum of its proper divisors (101232698880).

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

42004383360 is a wasteful number, since it uses less digits than its factorization.

42004383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13403 (or 13391 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 42004383360 in words is "forty-two billion, four million, three hundred eighty-three thousand, three hundred sixty".