Search a number
-
+
14141221110030 = 2357434393567259
BaseRepresentation
bin1100110111001000001001…
…1101100000000100001110
31212001212222000100122120010
43031302002131200010032
53323142210101010110
650024215353334050
72656445433106320
oct315620235400416
955055860318503
1014141221110030
114562292723873
1217047b6407326
137b76857bbb51
1436c61dd23610
15197ca3e2a020
hexcdc8276010e

14141221110030 has 128 divisors (see below), whose sum is σ = 39779800473600. Its totient is φ = 3149917352064.

The previous prime is 14141221110001. The next prime is 14141221110047. The reversal of 14141221110030 is 3001112214141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14141221109979 and 14141221110006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180541 + ... + 5747799.

It is an arithmetic number, because the mean of its divisors is an integer number (310779691200).

Almost surely, 214141221110030 is an apocalyptic number.

14141221110030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141221110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889900236800).

14141221110030 is an abundant number, since it is smaller than the sum of its proper divisors (25638579363570).

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

14141221110030 is a wasteful number, since it uses less digits than its factorization.

14141221110030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567758.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 14141221110030 its reverse (3001112214141), we get a palindrome (17142333324171).

The spelling of 14141221110030 in words is "fourteen trillion, one hundred forty-one billion, two hundred twenty-one million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 439 602 645 878 903 1290 1317 1505 1806 2195 2634 3010 3073 4390 4515 6146 6585 9030 9219 13170 15365 18438 18877 30730 37754 46095 56631 92190 94385 113262 132139 188770 264278 283155 396417 566310 660695 792834 1321390 1982085 3567259 3964170 7134518 10701777 17836295 21403554 24970813 35672590 49941626 53508885 74912439 107017770 124854065 149824878 153392137 249708130 306784274 374562195 460176411 749124390 766960685 920352822 1073744959 1533921370 1566026701 2147489918 2300882055 3132053402 3221234877 4601764110 4698080103 5368724795 6442469754 7830133505 9396160206 10737449590 10962186907 15660267010 16106174385 21924373814 23490400515 32212348770 32886560721 46980801030 54810934535 65773121442 67339148143 109621869070 134678296286 164432803605 202017444429 328865607210 336695740715 404034888858 471374037001 673391481430 942748074002 1010087222145 1414122111003 2020174444290 2356870185005 2828244222006 4713740370010 7070610555015 14141221110030