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14228646336 = 263243574477
BaseRepresentation
bin11010100000001011…
…11110100111000000
31100201121201010101100
431100011332213000
5213120013140321
610311521134400
71012412332632
oct152005764700
940647633340
1014228646336
116041777653
12291118a400
131459ab5c78
1498d9d4a52
1558424a326
hex35017e9c0

14228646336 has 84 divisors (see below), whose sum is σ = 41732379832. Its totient is φ = 4632574464.

The previous prime is 14228646329. The next prime is 14228646353. The reversal of 14228646336 is 63364682241.

14228646336 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 8 + 6 + 4 + 633 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14228646291 and 14228646300.

It is a congruent number.

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, 262471 + ... + 312006.

Almost surely, 214228646336 is an apocalyptic number.

14228646336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14228646336 is an abundant number, since it is smaller than the sum of its proper divisors (27503733496).

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

14228646336 is a wasteful number, since it uses less digits than its factorization.

14228646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574538 (or 574525 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 14228646336 in words is "fourteen billion, two hundred twenty-eight million, six hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 6192 8256 12384 24768 574477 1148954 1723431 2297908 3446862 4595816 5170293 6893724 9191632 10340586 13787448 18383264 20681172 24702511 27574896 36766528 41362344 49405022 55149792 74107533 82724688 98810044 110299584 148215066 165449376 197620088 222322599 296430132 330898752 395240176 444645198 592860264 790480352 889290396 1185720528 1580960704 1778580792 2371441056 3557161584 4742882112 7114323168 14228646336