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14014114144 = 255349116829
BaseRepresentation
bin11010000110100111…
…00110100101100000
31100011200000202112121
431003103212211200
5212200103123034
610234335034024
71004166001432
oct150323464540
940150022477
1014014114144
115a41669418
12287136b914
131424511244
1496d30c652
155704c01b4
hex3434e6960

14014114144 has 48 divisors (see below), whose sum is σ = 28169784720. Its totient is φ = 6860439040.

The previous prime is 14014114129. The next prime is 14014114171. The reversal of 14014114144 is 44141141041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824322 + ... + 841150.

It is an arithmetic number, because the mean of its divisors is an integer number (586870515).

Almost surely, 214014114144 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 14014114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084892360).

14014114144 is an abundant number, since it is smaller than the sum of its proper divisors (14155670576).

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

14014114144 is a wasteful number, since it uses less digits than its factorization.

14014114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17383 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 14014114144 its reverse (44141141041), we get a palindrome (58155255185).

The spelling of 14014114144 in words is "fourteen billion, fourteen million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 491 848 982 1696 1964 3928 7856 15712 16829 26023 33658 52046 67316 104092 134632 208184 269264 416368 538528 832736 891937 1783874 3567748 7135496 8263039 14270992 16526078 28541984 33052156 66104312 132208624 264417248 437941067 875882134 1751764268 3503528536 7007057072 14014114144