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14144102214 = 23115913726513
BaseRepresentation
bin11010010110000110…
…11101111101000110
31100111201121211122120
431023003131331012
5212431342232324
610255301110410
71010334612414
oct151303357506
940451554576
1014144102214
115aa8a82380
1228a89b8406
131445424468
149826a82b4
1557baea179
hex34b0ddf46

14144102214 has 64 divisors (see below), whose sum is σ = 31613172480. Its totient is φ = 4182533120.

The previous prime is 14144102207. The next prime is 14144102237. The reversal of 14144102214 is 41220144141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520222 + ... + 546734.

It is an arithmetic number, because the mean of its divisors is an integer number (493955820).

Almost surely, 214144102214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14144102214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15806586240).

14144102214 is an abundant number, since it is smaller than the sum of its proper divisors (17469070266).

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

14144102214 is a wasteful number, since it uses less digits than its factorization.

14144102214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26725.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14144102214 its reverse (41220144141), we get a palindrome (55364246355).

The spelling of 14144102214 in words is "fourteen billion, one hundred forty-four million, one hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 59 66 118 137 177 274 354 411 649 822 1298 1507 1947 3014 3894 4521 8083 9042 16166 24249 26513 48498 53026 79539 88913 159078 177826 266739 291643 533478 583286 874929 1564267 1749858 3128534 3632281 4692801 7264562 9385602 10896843 17206937 21793686 34413874 39955091 51620811 79910182 103241622 119865273 214304579 239730546 428609158 642913737 1285827474 2357350369 4714700738 7072051107 14144102214