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385143124440 = 2335191091579871
BaseRepresentation
bin1011001101011000101…
…00011011000111011000
31100211010021201220010110
411212230110123013120
522302233114440230
6452533213444320
736553130354004
oct5465424330730
91324107656113
10385143124440
1113937a286948
12627877a06a0
132a41b654809
14148d8d97704
15a0424564b0
hex59ac51b1d8

385143124440 has 256 divisors, whose sum is σ = 1235342592000. Its totient is φ = 95782901760.

The previous prime is 385143124391. The next prime is 385143124441. The reversal of 385143124440 is 44421341583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385143124441) 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, 39012705 + ... + 39022575.

It is an arithmetic number, because the mean of its divisors is an integer number (4825557000).

Almost surely, 2385143124440 is an apocalyptic number.

385143124440 is a gapful number since it is divisible by the number (30) 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 385143124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617671296000).

385143124440 is an abundant number, since it is smaller than the sum of its proper divisors (850199467560).

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

385143124440 is a wasteful number, since it uses less digits than its factorization.

385143124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 385143124440 in words is "three hundred eighty-five billion, one hundred forty-three million, one hundred twenty-four thousand, four hundred forty".