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84240400140 = 22345138348193
BaseRepresentation
bin100111001110100011…
…1100111111100001100
322001102212011201110000
41032131013213330030
52340011020301030
6102411032044300
76041361405141
oct1163507477414
9261385151400
1084240400140
11327a9567506
12143abb33690
137c367b7520
144111dca3c8
1522d08cd860
hex139d1e7f0c

84240400140 has 240 divisors, whose sum is σ = 288028163808. Its totient is φ = 20485840896.

The previous prime is 84240400129. The next prime is 84240400159. The reversal of 84240400140 is 4100404248.

It is a happy number.

84240400140 is a `hidden beast` number, since 8 + 4 + 240 + 400 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723884 + ... + 1772076.

Almost surely, 284240400140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84240400140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144014081904).

84240400140 is an abundant number, since it is smaller than the sum of its proper divisors (203787763668).

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

84240400140 is a wasteful number, since it uses less digits than its factorization.

84240400140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48310 (or 48299 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 84240400140 its reverse (4100404248), we get a palindrome (88340804388).

The spelling of 84240400140 in words is "eighty-four billion, two hundred forty million, four hundred thousand, one hundred forty".