Search a number
-
+
14214848778 = 23213891076379
BaseRepresentation
bin11010011110100010…
…10110000100001010
31100200122202010200200
431033101112010022
5213103000130103
610310305313030
71012154135544
oct151721260412
940618663620
1014214848778
116034a03309
122908635776
131456c94a30
1498bc42694
15582e220a3
hex34f45610a

14214848778 has 96 divisors (see below), whose sum is σ = 33859425600. Its totient is φ = 4283566848.

The previous prime is 14214848731. The next prime is 14214848783. The reversal of 14214848778 is 87784841241.

14214848778 is a `hidden beast` number, since 14 + 2 + 1 + 484 + 87 + 78 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2225193 + ... + 2231571.

It is an arithmetic number, because the mean of its divisors is an integer number (352702350).

Almost surely, 214214848778 is an apocalyptic number.

14214848778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14214848778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16929712800).

14214848778 is an abundant number, since it is smaller than the sum of its proper divisors (19644576822).

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

14214848778 is a wasteful number, since it uses less digits than its factorization.

14214848778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6593 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The spelling of 14214848778 in words is "fourteen billion, two hundred fourteen million, eight hundred forty-eight thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 107 117 178 214 234 267 321 534 642 801 963 1157 1391 1602 1926 2314 2782 3471 4173 6379 6942 8346 9523 10413 12519 12758 19046 19137 20826 25038 28569 38274 57138 57411 82927 85707 114822 123799 165854 171414 247598 248781 371397 497562 567731 682553 742794 746343 1114191 1135462 1365106 1492686 1703193 2047659 2228382 3406386 4095318 5109579 6142977 7380503 8873189 10219158 12285954 14761006 17746378 22141509 26619567 44283018 53239134 60747217 66424527 79858701 121494434 132849054 159717402 182241651 364483302 546724953 789713821 1093449906 1579427642 2369141463 4738282926 7107424389 14214848778