Search a number
-
+
14055505352 = 2372281127601
BaseRepresentation
bin11010001011100010…
…11111110111001000
31100021112220122121022
431011301133313020
5212241202132402
610242414132012
71005210552500
oct150561376710
940245818538
1014055505352
115a62a6a229
1228831b1008
13142cc74095
14974a04a00
15573e492a2
hex345c5fdc8

14055505352 has 48 divisors (see below), whose sum is σ = 30766118220. Its totient is φ = 6002304000.

The previous prime is 14055505333. The next prime is 14055505357. The reversal of 14055505352 is 25350555041.

It can be written as a sum of positive squares in 2 ways, for example, as 13826467396 + 229037956 = 117586^2 + 15134^2 .

It is not an unprimeable number, because it can be changed into a prime (14055505357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46352 + ... + 173952.

Almost surely, 214055505352 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 14055505352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383059110).

14055505352 is an abundant number, since it is smaller than the sum of its proper divisors (16710612868).

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

14055505352 is a wasteful number, since it uses less digits than its factorization.

14055505352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127902 (or 127891 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 35.

The spelling of 14055505352 in words is "fourteen billion, fifty-five million, five hundred five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 281 392 562 1124 1967 2248 3934 7868 13769 15736 27538 55076 110152 127601 255202 510404 893207 1020808 1786414 3572828 6252449 7145656 12504898 25009796 35855881 50019592 71711762 143423524 250991167 286847048 501982334 1003964668 1756938169 2007929336 3513876338 7027752676 14055505352