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39422071040 = 2851122967131
BaseRepresentation
bin100100101101101111…
…010001000100000000
310202202101120201000012
4210231233101010000
51121214022233130
630035451444052
72563626034502
oct445557210400
9122671521005
1039422071040
111579a805500
127782456628
133943413971
141c9d92bd72
15105adc8995
hex92dbd1100

39422071040 has 432 divisors, whose sum is σ = 109806459840. Its totient is φ = 13530316800.

The previous prime is 39422071037. The next prime is 39422071049. The reversal of 39422071040 is 4017022493.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 39422070988 and 39422071006.

It is not an unprimeable number, because it can be changed into a prime (39422071049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300931775 + ... + 300931905.

It is an arithmetic number, because the mean of its divisors is an integer number (254181620).

Almost surely, 239422071040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39422071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54903229920).

39422071040 is an abundant number, since it is smaller than the sum of its proper divisors (70384388800).

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

39422071040 is a wasteful number, since it uses less digits than its factorization.

39422071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 39422071040 in words is "thirty-nine billion, four hundred twenty-two million, seventy-one thousand, forty".