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14130330241020 = 22357215571560683
BaseRepresentation
bin1100110110011111100101…
…0100001000011111111100
31212000211212000021011220020
43031213321110020133330
53323002404020203040
650015214544252140
72655611520205530
oct315477124103774
955024760234806
1014130330241020
114558704053784
121702677011050
137b663b384166
1436bca973dbc0
15197867c45cd0
hexcd9f95087fc

14130330241020 has 96 divisors (see below), whose sum is σ = 45219183303168. Its totient is φ = 3229637874432.

The previous prime is 14130330240977. The next prime is 14130330241021. The reversal of 14130330241020 is 2014203303141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130330241021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8273599 + ... + 9834281.

It is an arithmetic number, because the mean of its divisors is an integer number (471033159408).

Almost surely, 214130330241020 is an apocalyptic number.

14130330241020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14130330241020 is an abundant number, since it is smaller than the sum of its proper divisors (31088853062148).

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

14130330241020 is a wasteful number, since it uses less digits than its factorization.

14130330241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582259 (or 1582257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14130330241020 its reverse (2014203303141), we get a palindrome (16144533544161).

The spelling of 14130330241020 in words is "fourteen trillion, one hundred thirty billion, three hundred thirty million, two hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 21557 43114 64671 86228 107785 129342 150899 215570 258684 301798 323355 431140 452697 603596 646710 754495 905394 1293420 1508990 1560683 1810788 2263485 3017980 3121366 4526970 4682049 6242732 7803415 9053940 9364098 10924781 15606830 18728196 21849562 23410245 31213660 32774343 43699124 46820490 54623905 65548686 93640980 109247810 131097372 163871715 218495620 327743430 655486860 33643643431 67287286862 100930930293 134574573724 168218217155 201861860586 235505504017 336436434310 403723721172 471011008034 504654651465 672872868620 706516512051 942022016068 1009309302930 1177527520085 1413033024102 2018618605860 2355055040170 2826066048204 3532582560255 4710110080340 7065165120510 14130330241020