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14412204144 = 24321342118287
BaseRepresentation
bin11010110110000100…
…01100100001110000
31101012102002211100200
431123002030201300
5214004011013034
610342035315200
71020101466612
oct153302144160
941172084320
1014412204144
11612634a318
12296274bb00
131488b34360
149aa136db2
15595407a99
hex35b08c870

14412204144 has 120 divisors (see below), whose sum is σ = 43542338112. Its totient is φ = 4423749120.

The previous prime is 14412204113. The next prime is 14412204151. The reversal of 14412204144 is 44140221441.

It is a happy number.

14412204144 is a `hidden beast` number, since 1 + 4 + 412 + 204 + 1 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778969 + ... + 797255.

Almost surely, 214412204144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14412204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21771169056).

14412204144 is an abundant number, since it is smaller than the sum of its proper divisors (29130133968).

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

14412204144 is a wasteful number, since it uses less digits than its factorization.

14412204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18735 (or 18726 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14412204144 its reverse (44140221441), we get a palindrome (58552425585).

The spelling of 14412204144 in words is "fourteen billion, four hundred twelve million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 421 468 624 842 936 1263 1684 1872 2526 3368 3789 5052 5473 6736 7578 10104 10946 15156 16419 18287 20208 21892 30312 32838 36574 43784 49257 54861 60624 65676 73148 87568 98514 109722 131352 146296 164583 197028 219444 237731 262704 292592 329166 394056 438888 475462 658332 713193 788112 877776 950924 1316664 1426386 1901848 2139579 2633328 2852772 3803696 4279158 5705544 7698827 8558316 11411088 15397654 17116632 23096481 30795308 34233264 46192962 61590616 69289443 92385924 100084751 123181232 138578886 184771848 200169502 277157772 300254253 369543696 400339004 554315544 600508506 800678008 900762759 1108631088 1201017012 1601356016 1801525518 2402034024 3603051036 4804068048 7206102072 14412204144