Search a number
-
+
14256022440 = 23351110800017
BaseRepresentation
bin11010100011011100…
…11010001110101000
31100210112012222100010
431101232122032220
5213144020204230
610314340011520
71013164122432
oct152156321650
940715188303
1014256022440
116056175730
12291a390ba0
13146267c84a
149934bd652
155868569b0
hex351b9a3a8

14256022440 has 64 divisors (see below), whose sum is σ = 46656077760. Its totient is φ = 3456005120.

The previous prime is 14256022409. The next prime is 14256022457. The reversal of 14256022440 is 4422065241.

14256022440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14256022398 and 14256022407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5398689 + ... + 5401328.

It is an arithmetic number, because the mean of its divisors is an integer number (729001215).

Almost surely, 214256022440 is an apocalyptic number.

14256022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14256022440 is an abundant number, since it is smaller than the sum of its proper divisors (32400055320).

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

14256022440 is a wasteful number, since it uses less digits than its factorization.

14256022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800042 (or 10800038 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14256022440 its reverse (4422065241), we get a palindrome (18678087681).

The spelling of 14256022440 in words is "fourteen billion, two hundred fifty-six million, twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 10800017 21600034 32400051 43200068 54000085 64800102 86400136 108000170 118800187 129600204 162000255 216000340 237600374 259200408 324000510 356400561 432000680 475200748 594000935 648001020 712801122 950401496 1188001870 1296002040 1425602244 1782002805 2376003740 2851204488 3564005610 4752007480 7128011220 14256022440