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42841443645 = 33571113794013
BaseRepresentation
bin100111111001100011…
…001000110100111101
311002120200201211102000
4213321203020310331
51200214402144040
631403040452513
73044436156030
oct477143106475
9132520654360
1042841443645
1117194972780
12837761a139
134069960470
142105add017
1511ab1ab130
hex9f98c8d3d

42841443645 has 256 divisors, whose sum is σ = 103580467200. Its totient is φ = 16222602240.

The previous prime is 42841443607. The next prime is 42841443661. The reversal of 42841443645 is 54634414824.

It is a happy number.

42841443645 is a `hidden beast` number, since 4 + 284 + 1 + 4 + 4 + 364 + 5 = 666.

It is not a de Polignac number, because 42841443645 - 27 = 42841443517 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42841443645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10673659 + ... + 10677671.

It is an arithmetic number, because the mean of its divisors is an integer number (404611200).

Almost surely, 242841443645 is an apocalyptic number.

42841443645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42841443645 is an abundant number, since it is smaller than the sum of its proper divisors (60739023555).

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

42841443645 is a wasteful number, since it uses less digits than its factorization.

42841443645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4131 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 42841443645 in words is "forty-two billion, eight hundred forty-one million, four hundred forty-three thousand, six hundred forty-five".