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14182048000836 = 2236697392
BaseRepresentation
bin1100111001100000001111…
…1011101110101101000100
31212012210100022100121000000
43032120003323232231010
53324324313242011321
650055050511321300
72662422241002432
oct316300373565504
955183308317000
1014182048000836
11457863340a141
1217106ab220230
137bb490c7acc1
143705b4259d52
15198d932eb826
hexce603eeeb44

14182048000836 has 63 divisors (see below), whose sum is σ = 37211387234511. Its totient is φ = 4727281547304.

The previous prime is 14182048000823. The next prime is 14182048000891. The reversal of 14182048000836 is 63800084028141.

The square root of 14182048000836 is 3765906.

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

14182048000836 is a `hidden beast` number, since 14 + 1 + 82 + 0 + 480 + 0 + 0 + 83 + 6 = 666.

It is a super-2 number, since 2×141820480008362 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14182048000791 and 14182048000800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 203324055 + ... + 203393793.

Almost surely, 214182048000836 is an apocalyptic number.

14182048000836 is the 3765906-th square number.

It is an amenable number.

14182048000836 is an abundant number, since it is smaller than the sum of its proper divisors (23029339233675).

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

14182048000836 is an frugal number, since it uses more digits than its factorization.

14182048000836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139500 (or 69744 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 14182048000836 in words is "fourteen trillion, one hundred eighty-two billion, forty-eight million, eight hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 69739 139478 209217 278956 418434 627651 836868 1255302 1882953 2510604 3765906 5648859 7531812 11297718 16946577 22595436 33893154 50839731 67786308 101679462 203358924 4863528121 9727056242 14590584363 19454112484 29181168726 43771753089 58362337452 87543506178 131315259267 175087012356 262630518534 393945777801 525261037068 787891555602 1181837333403 1575783111204 2363674666806 3545512000209 4727349333612 7091024000418 14182048000836