Search a number
-
+
14114121310 = 2517219401641
BaseRepresentation
bin11010010010100010…
…00110011001011110
31100102122012122120201
431021101012121132
5212401203340220
610252310334114
71006522023502
oct151121063136
940378178521
1014114121310
115a93065273
12289a95a33a
13143c158093
1497c702302
15579176d0a
hex34944665e

14114121310 has 96 divisors (see below), whose sum is σ = 28523443680. Its totient is φ = 5013504000.

The previous prime is 14114121283. The next prime is 14114121319. The reversal of 14114121310 is 1312141141.

It is a super-2 number, since 2×141141213102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114121319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22018590 + ... + 22019230.

It is an arithmetic number, because the mean of its divisors is an integer number (297119205).

Almost surely, 214114121310 is an apocalyptic number.

14114121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14114121310 is an abundant number, since it is smaller than the sum of its proper divisors (14409322370).

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

14114121310 is a wasteful number, since it uses less digits than its factorization.

14114121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 14114121310 its reverse (1312141141), we get a palindrome (15426262451).

It can be divided in two parts, 14114 and 121310, that added together give a square (135424 = 3682).

The spelling of 14114121310 in words is "fourteen billion, one hundred fourteen million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 10 17 19 34 38 85 95 170 190 289 323 401 578 641 646 802 1282 1445 1615 2005 2890 3205 3230 4010 5491 6410 6817 7619 10897 10982 12179 13634 15238 21794 24358 27455 34085 38095 54485 54910 60895 68170 76190 108970 115889 121790 129523 185249 207043 231778 257041 259046 370498 414086 514082 579445 647615 926245 1035215 1158890 1285205 1295230 1852490 2070430 2201891 2570410 3519731 4369697 4403782 4883779 7039462 8739394 9767558 11009455 17598655 21848485 22018910 24418895 35197310 43696970 48837790 74284849 83024243 148569698 166048486 371424245 415121215 742848490 830242430 1411412131 2822824262 7057060655 14114121310