Search a number
-
+
14404343100 = 22352717403483
BaseRepresentation
bin11010110101001000…
…01101010100111100
31101011212022110000220
431122210031110330
5214000002434400
610341155021340
71016644616250
oct153244152474
941155273026
1014404343100
116121970194
12295bb9a850
131487311254
149a908c260
155948a37a0
hex35a90d53c

14404343100 has 144 divisors (see below), whose sum is σ = 50432272128. Its totient is φ = 3098741760.

The previous prime is 14404343077. The next prime is 14404343111. The reversal of 14404343100 is 134340441.

14404343100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144043431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 166042 + ... + 237441.

It is an arithmetic number, because the mean of its divisors is an integer number (350224112).

Almost surely, 214404343100 is an apocalyptic number.

14404343100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14404343100 is an abundant number, since it is smaller than the sum of its proper divisors (36027929028).

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

14404343100 is a wasteful number, since it uses less digits than its factorization.

14404343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403524 (or 403517 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14404343100 its reverse (134340441), we get a palindrome (14538683541).

The spelling of 14404343100 in words is "fourteen billion, four hundred four million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 403483 806966 1210449 1613932 2017415 2420898 2824381 4034830 4841796 5648762 6052245 6859211 8069660 8473143 10087075 11297524 12104490 13718422 14121905 16946286 20174150 20577633 24208980 27436844 28243810 30261225 33892572 34296055 40348300 41155266 42365715 48014477 56487620 60522450 68592110 70609525 82310532 84731430 96028954 102888165 121044900 137184220 141219050 144043431 169462860 171480275 192057908 205776330 211828575 240072385 282438100 288086862 342960550 411552660 423657150 480144770 514440825 576173724 685921100 720217155 847314300 960289540 1028881650 1200361925 1440434310 2057763300 2400723850 2880868620 3601085775 4801447700 7202171550 14404343100