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1031404322432 = 27111724315881
BaseRepresentation
bin11110000001001000111…
…11001111111010000000
310122121020100012022002002
433000210133033322000
5113344304001304212
62105453130043132
7134342106042251
oct17004437177200
93577210168062
101031404322432
11368463940180
12147a872794a8
1376351593953
1437cc51aab28
151bc687daac2
hexf0247cfe80

1031404322432 has 192 divisors, whose sum is σ = 2387088766080. Its totient is φ = 440143872000.

The previous prime is 1031404322407. The next prime is 1031404322479. The reversal of 1031404322432 is 2342234041301.

It is a junction number, because it is equal to n+sod(n) for n = 1031404322395 and 1031404322404.

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 23 ways as a sum of consecutive naturals, for example, 175376132 + ... + 175382012.

It is an arithmetic number, because the mean of its divisors is an integer number (12432753990).

Almost surely, 21031404322432 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 1031404322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193544383040).

1031404322432 is an abundant number, since it is smaller than the sum of its proper divisors (1355684443648).

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

1031404322432 is a wasteful number, since it uses less digits than its factorization.

1031404322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1031404322432 its reverse (2342234041301), we get a palindrome (3373638363733).

The spelling of 1031404322432 in words is "one trillion, thirty-one billion, four hundred four million, three hundred twenty-two thousand, four hundred thirty-two".