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1042098757326 = 2321131297131431
BaseRepresentation
bin11110010101000011110…
…11010001111011001110
310200121211122122212210100
433022201323101323032
5114033204240213301
62114422240551530
7135201115166604
oct17124173217316
93617748585710
101042098757326
11371a51643420
12149b709225a6
13773670c2433
143861b659874
151c19261c286
hexf2a1ed1ece

1042098757326 has 288 divisors, whose sum is σ = 2597041294848. Its totient is φ = 299445120000.

The previous prime is 1042098757321. The next prime is 1042098757327. The reversal of 1042098757326 is 6237578902401.

It is a happy number.

1042098757326 is a `hidden beast` number, since 1 + 0 + 42 + 0 + 9 + 8 + 7 + 573 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042098757321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2417862331 + ... + 2417862761.

It is an arithmetic number, because the mean of its divisors is an integer number (9017504496).

It is a 1-persistent number, because it is pandigital, but 2⋅1042098757326 = 2084197514652 is not.

Almost surely, 21042098757326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042098757326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298520647424).

1042098757326 is an abundant number, since it is smaller than the sum of its proper divisors (1554942537522).

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

1042098757326 is a wasteful number, since it uses less digits than its factorization.

1042098757326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1042098757326 in words is "one trillion, forty-two billion, ninety-eight million, seven hundred fifty-seven thousand, three hundred twenty-six".