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14225449328896 = 28132181332
BaseRepresentation
bin1100111100000001111011…
…0110101010000100000000
31212100221101000121111102211
43033000132312222010000
53331032210012011041
650131025312351504
72665516616131531
oct317003666520400
955327330544384
1014225449328896
114594a85320303
121718ba2245594
137c25b98cca00
1437273045c688
1519a0836ee481
hexcf01edaa100

14225449328896 has 81 divisors (see below), whose sum is σ = 30749302160199. Its totient is φ = 6565229918208.

The previous prime is 14225449328837. The next prime is 14225449328903. The reversal of 14225449328896 is 69882394452241.

The square root of 14225449328896 is 3771664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3025985495296 + 11199463833600 = 1739536^2 + 3346560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 784497046 + ... + 784515178.

Almost surely, 214225449328896 is an apocalyptic number.

14225449328896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14225449328896 is the 3771664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14225449328896

14225449328896 is an abundant number, since it is smaller than the sum of its proper divisors (16523852831303).

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

14225449328896 is an frugal number, since it uses more digits than its factorization.

14225449328896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36308 (or 18148 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 67.

The spelling of 14225449328896 in words is "fourteen trillion, two hundred twenty-five billion, four hundred forty-nine million, three hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 18133 21632 36266 43264 72532 145064 235729 290128 471458 580256 942916 1160512 1885832 2321024 3064477 3771664 4642048 6128954 7543328 12257908 15086656 24515816 30173312 49031632 60346624 98063264 196126528 328805689 392253056 657611378 784506112 1315222756 2630445512 4274473957 5260891024 8548947914 10521782048 17097895828 21043564096 34195791656 42087128192 55568161441 68391583312 84174256384 111136322882 136783166624 222272645764 273566333248 444545291528 547132666496 889090583056 1094265332992 1778181166112 3556362332224 7112724664448 14225449328896