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39482231040 = 2832571973353
BaseRepresentation
bin100100110001010100…
…110000100100000000
310202220120210011000100
4210301110300210000
51121324422343130
630045441122400
72565256266210
oct446124604400
9122816704010
1039482231040
111582076560a
12779a629400
133952a186b5
141ca790c240
15106130dc60
hex931530900

39482231040 has 864 divisors, whose sum is σ = 167059226880. Its totient is φ = 8408530944.

The previous prime is 39482231039. The next prime is 39482231051. The reversal of 39482231040 is 4013228493.

39482231040 is a `hidden beast` number, since 394 + 8 + 223 + 1 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 39482230986 and 39482231004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111847504 + ... + 111847856.

Almost surely, 239482231040 is an apocalyptic number.

39482231040 is a gapful number since it is divisible by the number (30) 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 39482231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83529613440).

39482231040 is an abundant number, since it is smaller than the sum of its proper divisors (127576995840).

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

39482231040 is a wasteful number, since it uses less digits than its factorization.

39482231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 39482231040 in words is "thirty-nine billion, four hundred eighty-two million, two hundred thirty-one thousand, forty".