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80214243840 = 293356717321
BaseRepresentation
bin100101010110100100…
…1000011101000000000
321200001021020210022000
41022231021003220000
52303234321300330
6100503325344000
75536532552133
oct1125511035000
9250037223260
1080214243840
1131022938705
1213667708000
137744638513
143c4d3c821a
1521471dd560
hex12ad243a00

80214243840 has 320 divisors, whose sum is σ = 289197025920. Its totient is φ = 21069987840.

The previous prime is 80214243839. The next prime is 80214243841. The reversal of 80214243840 is 4834241208.

80214243840 is a `hidden beast` number, since 8 + 0 + 214 + 2 + 438 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80214243839) and next prime (80214243841).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80214243795 and 80214243804.

It is not an unprimeable number, because it can be changed into a prime (80214243841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4622380 + ... + 4639700.

It is an arithmetic number, because the mean of its divisors is an integer number (903740706).

Almost surely, 280214243840 is an apocalyptic number.

80214243840 is a gapful number since it is divisible by the number (80) 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 80214243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144598512960).

80214243840 is an abundant number, since it is smaller than the sum of its proper divisors (208982782080).

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

80214243840 is a wasteful number, since it uses less digits than its factorization.

80214243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17420 (or 17398 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 80214243840 in words is "eighty billion, two hundred fourteen million, two hundred forty-three thousand, eight hundred forty".