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14274157144 = 23132320992843
BaseRepresentation
bin11010100101100111…
…00101101001011000
31100211210100022110211
431102303211221120
5213213141012034
610320224420504
71013504222332
oct152263455130
940753308424
1014274157144
116065431595
122924477734
13146635bc40
14995a80452
15588239d64
hex352ce5a58

14274157144 has 64 divisors (see below), whose sum is σ = 30100896000. Its totient is φ = 6296416896.

The previous prime is 14274157133. The next prime is 14274157159. The reversal of 14274157144 is 44175147241.

14274157144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14274157097 and 14274157106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5019387 + ... + 5022229.

It is an arithmetic number, because the mean of its divisors is an integer number (470326500).

Almost surely, 214274157144 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 14274157144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050448000).

14274157144 is an abundant number, since it is smaller than the sum of its proper divisors (15826738856).

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

14274157144 is a wasteful number, since it uses less digits than its factorization.

14274157144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4980 counting only the distinct ones).

The product of its digits is 125440, while the sum is 40.

The spelling of 14274157144 in words is "fourteen billion, two hundred seventy-four million, one hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 2099 2392 2843 4198 5686 8396 11372 16792 22744 27287 36959 48277 54574 65389 73918 96554 109148 130778 147836 193108 218296 261556 295672 386216 523112 627601 850057 1255202 1700114 2510404 3400228 5020808 5967457 6800456 11934914 23869828 47739656 77576941 137251511 155153882 274503022 310307764 549006044 620615528 1098012088 1784269643 3568539286 7137078572 14274157144