Search a number
-
+
14104301110400 = 275217259270241
BaseRepresentation
bin1100110100111110100111…
…0110111000010010000000
31211221100122222212100021102
43031033221312320102000
53322041102041013100
645555232041513532
72654000505225404
oct315175166702200
954840588770242
1014104301110400
114548667307686
1216b9611aa28a8
137b4050881417
1436a91a825104
15196d42a3acd5
hexcd3e9db8480

14104301110400 has 96 divisors (see below), whose sum is σ = 36891562734180. Its totient is φ = 5309854515200.

The previous prime is 14104301110373. The next prime is 14104301110441. The reversal of 14104301110400 is 401110340141.

It can be written as a sum of positive squares in 6 ways, for example, as 9359536760896 + 4744764349504 = 3059336^2 + 2178248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129580721 + ... + 129689520.

Almost surely, 214104301110400 is an apocalyptic number.

14104301110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14104301110400 is an abundant number, since it is smaller than the sum of its proper divisors (22787261623780).

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

14104301110400 is a wasteful number, since it uses less digits than its factorization.

14104301110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259270282 (or 259270265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14104301110400 its reverse (401110340141), we get a palindrome (14505411450541).

The spelling of 14104301110400 in words is "fourteen trillion, one hundred four billion, three hundred one million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 320 340 400 425 544 640 680 800 850 1088 1360 1600 1700 2176 2720 3200 3400 5440 6800 10880 13600 27200 54400 259270241 518540482 1037080964 1296351205 2074161928 2592702410 4148323856 4407594097 5185404820 6481756025 8296647712 8815188194 10370809640 12963512050 16593295424 17630376388 20741619280 22037970485 25927024100 33186590848 35260752776 41483238560 44075940970 51854048200 70521505552 82966477120 88151881940 103708096400 110189852425 141043011104 165932954240 176303763880 207416192800 220379704850 282086022208 352607527760 414832385600 440759409700 564172044416 705215055520 829664771200 881518819400 1410430111040 1763037638800 2820860222080 3526075277600 7052150555200 14104301110400