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1040144375808 = 2133219742519
BaseRepresentation
bin11110010001011010110…
…11111010000000000000
310200102210110011000100200
433020231123322000000
5114020203430011213
62113500303445200
7135101514213366
oct17105533720000
93612713130320
101040144375808
1137113942468a
121497062b6800
137711522b075
14384b3c77636
151c0cac6b273
hexf22d6fa000

1040144375808 has 168 divisors, whose sum is σ = 3162823341600. Its totient is φ = 328466202624.

The previous prime is 1040144375801. The next prime is 1040144375819. The reversal of 1040144375808 is 8085734410401.

1040144375808 is a `hidden beast` number, since 10 + 4 + 0 + 14 + 43 + 7 + 580 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1040144375801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029573 + ... + 1772091.

Almost surely, 21040144375808 is an apocalyptic number.

1040144375808 is a gapful number since it is divisible by the number (18) 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 1040144375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581411670800).

1040144375808 is an abundant number, since it is smaller than the sum of its proper divisors (2122678965792).

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

1040144375808 is an equidigital number, since it uses as much as digits as its factorization.

1040144375808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742570 (or 742543 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1040144375808 in words is "one trillion, forty billion, one hundred forty-four million, three hundred seventy-five thousand, eight hundred eight".