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14071703100 = 223527133713931
BaseRepresentation
bin11010001101011110…
…10010011000111100
31100022200101120201220
431012233102120330
5212304323444400
610244153233340
71005465334320
oct150657223074
940280346656
1014071703100
115a711228a4
122888702850
131433425950
14976c1d980
155755987a0
hex346bd263c

14071703100 has 288 divisors, whose sum is σ = 51467705856. Its totient is φ = 2888524800.

The previous prime is 14071703033. The next prime is 14071703197. The reversal of 14071703100 is 130717041.

It is a super-2 number, since 2×140717031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1003135 + ... + 1017065.

It is an arithmetic number, because the mean of its divisors is an integer number (178707312).

Almost surely, 214071703100 is an apocalyptic number.

14071703100 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 14071703100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25733852928).

14071703100 is an abundant number, since it is smaller than the sum of its proper divisors (37396002756).

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

14071703100 is a wasteful number, since it uses less digits than its factorization.

14071703100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14005 (or 13998 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The spelling of 14071703100 in words is "fourteen billion, seventy-one million, seven hundred three thousand, one hundred".