Search a number
-
+
14011441434 = 23219413832609
BaseRepresentation
bin11010000110010010…
…11010000100011010
31100011110222222021100
431003021122010122
5212143412111214
610234201452230
71004134200324
oct150311320432
940143888240
1014011441434
115a40103371
1228704a1076
131423ab6863
1496cc14614
15570143309
hex34325a11a

14011441434 has 96 divisors (see below), whose sum is σ = 32833382400. Its totient is φ = 4303825920.

The previous prime is 14011441357. The next prime is 14011441471. The reversal of 14011441434 is 43414411041.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14011441398 and 14011441407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5369122 + ... + 5371730.

It is an arithmetic number, because the mean of its divisors is an integer number (342014400).

Almost surely, 214011441434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011441434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416691200).

14011441434 is an abundant number, since it is smaller than the sum of its proper divisors (18821940966).

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

14011441434 is a wasteful number, since it uses less digits than its factorization.

14011441434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14011441434 its reverse (43414411041), we get a palindrome (57425852475).

The spelling of 14011441434 in words is "fourteen billion, eleven million, four hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 383 738 766 779 1149 1558 2298 2337 2609 3447 4674 5218 6894 7011 7277 7827 14022 14554 15654 15703 21831 23481 31406 43662 46962 47109 49571 65493 94218 99142 106969 130986 141327 148713 213938 282654 297426 298357 320907 446139 596714 641814 892278 895071 962721 999247 1790142 1925442 1998494 2032411 2685213 2997741 4064822 5370426 5995482 6097233 8993223 12194466 17986446 18291699 18985693 36583398 37971386 40969127 56957079 81938254 113914158 122907381 170871237 245814762 341742474 368722143 737444286 778413413 1556826826 2335240239 4670480478 7005720717 14011441434