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14413228404 = 22329674911259
BaseRepresentation
bin11010110110001100…
…00110100101110100
31101012111000212101020
431123012012211310
5214004241302104
610342113301140
71020113264031
oct153306064564
941174025336
1014413228404
116126989913
122962b647b0
131489102623
149aa322388
1559555b2d9
hex35b186974

14413228404 has 96 divisors (see below), whose sum is σ = 35409830400. Its totient is φ = 4556576640.

The previous prime is 14413228397. The next prime is 14413228409. The reversal of 14413228404 is 40482231441.

14413228404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413228409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11447527 + ... + 11448785.

It is an arithmetic number, because the mean of its divisors is an integer number (368852400).

Almost surely, 214413228404 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 14413228404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704915200).

14413228404 is an abundant number, since it is smaller than the sum of its proper divisors (20996601996).

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

14413228404 is a wasteful number, since it uses less digits than its factorization.

14413228404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 14413228404 its reverse (40482231441), we get a palindrome (54895459845).

The spelling of 14413228404 in words is "fourteen billion, four hundred thirteen million, two hundred twenty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 491 804 982 1259 1473 1943 1964 2518 2946 3777 3886 5036 5829 5892 7554 7772 11658 14239 15108 23316 28478 32897 36511 42717 56956 65794 73022 84353 85434 98691 109533 131588 146044 168706 170868 197382 219066 253059 337412 394764 438132 506118 618169 954013 1012236 1236338 1854507 1908026 2446237 2472676 2862039 3709014 3816052 4892474 5724078 7338711 7418028 9784948 11448156 14677422 17926901 29354844 35853802 41417323 53780703 71707604 82834646 107561406 124251969 165669292 215122812 248503938 497007876 1201102367 2402204734 3603307101 4804409468 7206614202 14413228404