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14414341104 = 24322413131327
BaseRepresentation
bin11010110110010100…
…10110001111110000
31101012120010101201100
431123022112033300
5214010032403404
610342153204400
71020125610042
oct153312261760
941176111640
1014414341104
1161275798a9
122963400700
131489401c27
149aa531a92
155956cad39
hex35b2963f0

14414341104 has 120 divisors (see below), whose sum is σ = 40667561792. Its totient is φ = 4765962240.

The previous prime is 14414341103. The next prime is 14414341111. The reversal of 14414341104 is 40114341441.

It is a super-3 number, since 3×144143411043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414341103) 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, 10861689 + ... + 10863015.

Almost surely, 214414341104 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 14414341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20333780896).

14414341104 is an abundant number, since it is smaller than the sum of its proper divisors (26253220688).

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

14414341104 is a wasteful number, since it uses less digits than its factorization.

14414341104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14414341104 its reverse (40114341441), we get a palindrome (54528682545).

The spelling of 14414341104 in words is "fourteen billion, four hundred fourteen million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 313 482 626 723 939 964 1252 1327 1446 1878 1928 2169 2504 2654 2817 2892 3756 3856 3981 4338 5008 5308 5634 5784 7512 7962 8676 10616 11268 11568 11943 15024 15924 17352 21232 22536 23886 31848 34704 45072 47772 63696 75433 95544 150866 191088 226299 301732 319807 415351 452598 603464 639614 678897 830702 905196 959421 1206928 1246053 1279228 1357794 1661404 1810392 1918842 2492106 2558456 2715588 2878263 3322808 3620784 3738159 3837684 4984212 5116912 5431176 5756526 6645616 7476318 7675368 9968424 10862352 11513052 14952636 15350736 19936848 23026104 29905272 46052208 59810544 100099591 200199182 300298773 400398364 600597546 800796728 900896319 1201195092 1601593456 1801792638 2402390184 3603585276 4804780368 7207170552 14414341104