Search a number
-
+
14130332131041 = 337237687422869
BaseRepresentation
bin1100110110011111100101…
…1011010101111011100001
31212000211212010211012112000
43031213321123111323201
53323002410011143131
650015215052554213
72655611542240020
oct315477133257341
955024763735460
1014130332131041
114558705124785
121702677782969
137b663b896509
1436bca9ab28b7
15197867ebace6
hexcd9f96d5ee1

14130332131041 has 64 divisors (see below), whose sum is σ = 24967868620800. Its totient is φ = 7722388352448.

The previous prime is 14130332131031. The next prime is 14130332131057. The reversal of 14130332131041 is 14013123303141.

14130332131041 is a `hidden beast` number, since 1 + 4 + 1 + 303 + 3 + 2 + 1 + 310 + 41 = 666.

It is not a de Polignac number, because 14130332131041 - 25 = 14130332131009 is a prime.

It is a super-2 number, since 2×141303321310412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14130332130996 and 14130332131014.

It is not an unprimeable number, because it can be changed into a prime (14130332131021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33203955 + ... + 33626823.

It is an arithmetic number, because the mean of its divisors is an integer number (390122947200).

Almost surely, 214130332131041 is an apocalyptic number.

It is an amenable number.

14130332131041 is a deficient number, since it is larger than the sum of its proper divisors (10837536489759).

14130332131041 is a wasteful number, since it uses less digits than its factorization.

14130332131041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430595 (or 430589 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 14130332131041 its reverse (14013123303141), we get a palindrome (28143455434182).

The spelling of 14130332131041 in words is "fourteen trillion, one hundred thirty billion, three hundred thirty-two million, one hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 7687 23061 53809 69183 161427 176801 207549 422869 484281 530403 1237607 1268607 1452843 1591209 2960083 3712821 3805821 4773627 8880249 9725987 11138463 11417463 26640747 29177961 33415389 68081909 79922241 87533883 204245727 262601649 612737181 1838211543 3250594003 9751782009 22754158021 29255346027 68262474063 74763662069 87766038081 204787422189 224290986207 523345634483 614362266567 672872958621 1570036903449 2018618875863 4710110710347 14130332131041