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14020030080 = 2732571918301
BaseRepresentation
bin11010000111010100…
…01010111010000000
31100012002011022200100
431003222022322000
5212203111430310
610235105522400
71004300201160
oct150352127200
940162138610
1014020030080
115a44a3a121
122873343400
131425802bb4
1497000c5a0
15570c8cec0
hex343a8ae80

14020030080 has 384 divisors, whose sum is σ = 58244284800. Its totient is φ = 3035750400.

The previous prime is 14020030051. The next prime is 14020030081. The reversal of 14020030080 is 8003002041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×140200300802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14020030081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756930 + ... + 775230.

It is an arithmetic number, because the mean of its divisors is an integer number (151677825).

Almost surely, 214020030080 is an apocalyptic number.

14020030080 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 14020030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29122142400).

14020030080 is an abundant number, since it is smaller than the sum of its proper divisors (44224254720).

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

14020030080 is a wasteful number, since it uses less digits than its factorization.

14020030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18352 (or 18337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 14020030080 in words is "fourteen billion, twenty million, thirty thousand, eighty".