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143325810040 = 23574779891549
BaseRepresentation
bin1000010101111011100…
…0100100110101111000
3111200221121210112102211
42011132320210311320
54322012401410130
6145502025304504
713232514166330
oct2053670446570
9450847715384
10143325810040
1155869757486
122393b635134
131069191012a
146d192060c0
153adcbc1a2a
hex215ee24d78

143325810040 has 256 divisors, whose sum is σ = 385689600000. Its totient is φ = 46922084352.

The previous prime is 143325810031. The next prime is 143325810041. The reversal of 143325810040 is 40018523341.

143325810040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 143325809984 and 143325810011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143325810041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 92527186 + ... + 92528734.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600000).

Almost surely, 2143325810040 is an apocalyptic number.

143325810040 is a gapful number since it is divisible by the number (10) 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 143325810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800000).

143325810040 is an abundant number, since it is smaller than the sum of its proper divisors (242363789960).

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

143325810040 is a wasteful number, since it uses less digits than its factorization.

143325810040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 143325810040 in words is "one hundred forty-three billion, three hundred twenty-five million, eight hundred ten thousand, forty".