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14240707100 = 22521910174209
BaseRepresentation
bin11010100001100111…
…11111001000011100
31100202110101212122022
431100303333020130
5213131110111400
610313031435312
71012620004334
oct152063771034
940673355568
1014240707100
116048565024
122915225b38
13145c449809
149914540c4
1558532db85
hex350cff21c

14240707100 has 72 divisors (see below), whose sum is σ = 32851282800. Its totient is φ = 5342976000.

The previous prime is 14240707073. The next prime is 14240707109. The reversal of 14240707100 is 170704241.

It is a self number, because there is not a number n which added to its sum of digits gives 14240707100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240707109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154796 + ... + 229004.

Almost surely, 214240707100 is an apocalyptic number.

14240707100 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 14240707100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425641400).

14240707100 is an abundant number, since it is smaller than the sum of its proper divisors (18610575700).

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

14240707100 is a wasteful number, since it uses less digits than its factorization.

14240707100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74343 (or 74336 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The spelling of 14240707100 in words is "fourteen billion, two hundred forty million, seven hundred seven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 380 404 475 505 950 1010 1900 1919 2020 2525 3838 5050 7676 9595 10100 19190 38380 47975 74209 95950 148418 191900 296836 371045 742090 1409971 1484180 1855225 2819942 3710450 5639884 7049855 7420900 7495109 14099710 14990218 28199420 29980436 35249275 37475545 70498550 74951090 140997100 142407071 149902180 187377725 284814142 374755450 569628284 712035355 749510900 1424070710 2848141420 3560176775 7120353550 14240707100