Search a number
-
+
14128172454 = 2311795035387
BaseRepresentation
bin11010010100001101…
…01100110110100110
31100110121122112010110
431022012230312212
5212413303004304
610253531433450
71010052325104
oct151206546646
940417575113
1014128172454
115a9aa92090
1228a35b5886
131442037876
1498051cc74
1557a500289
hex34a1acda6

14128172454 has 64 divisors (see below), whose sum is σ = 31283159040. Its totient is φ = 4217884320.

The previous prime is 14128172453. The next prime is 14128172467. The reversal of 14128172454 is 45427182141.

14128172454 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 (14128172453) 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, 2619949 + ... + 2625335.

It is an arithmetic number, because the mean of its divisors is an integer number (488799360).

Almost surely, 214128172454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14128172454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641579520).

14128172454 is an abundant number, since it is smaller than the sum of its proper divisors (17154986586).

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

14128172454 is a wasteful number, since it uses less digits than its factorization.

14128172454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985.

The product of its digits is 71680, while the sum is 39.

The spelling of 14128172454 in words is "fourteen billion, one hundred twenty-eight million, one hundred seventy-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 503 869 1006 1509 1738 2607 3018 5214 5387 5533 10774 11066 16161 16599 32322 33198 39737 59257 79474 118514 119211 177771 238422 355542 425573 437107 851146 874214 1276719 1311321 2553438 2622642 2709661 4681303 5419322 8128983 9362606 14043909 16257966 28087818 29806271 59612542 89418813 178837626 214063219 428126438 642189657 1284379314 2354695409 4709390818 7064086227 14128172454