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13142302231314 = 2317250320897213
BaseRepresentation
bin1011111100111110111001…
…0000011000101100010010
31201112101120122020212200010
42333033232100120230102
53210310413332400224
643541253523135350
72524333333534344
oct277175620305422
951471518225603
1013142302231314
114207689a99343
121583096514556
137444104c4059
1433613b303294
1517bcdc56ae29
hexbf3ee418b12

13142302231314 has 96 divisors (see below), whose sum is σ = 27994491423360. Its totient is φ = 4112338249728.

The previous prime is 13142302231271. The next prime is 13142302231319. The reversal of 13142302231314 is 41313220324131.

It is not an unprimeable number, because it can be changed into a prime (13142302231319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1822026372 + ... + 1822033584.

It is an arithmetic number, because the mean of its divisors is an integer number (291609285660).

Almost surely, 213142302231314 is an apocalyptic number.

13142302231314 is an abundant number, since it is smaller than the sum of its proper divisors (14852189192046).

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

13142302231314 is a wasteful number, since it uses less digits than its factorization.

13142302231314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13142302231314 its reverse (41313220324131), we get a palindrome (54455522555445).

The spelling of 13142302231314 in words is "thirteen trillion, one hundred forty-two billion, three hundred two million, two hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 289 503 578 867 1006 1509 1734 2089 3018 4178 6267 7213 8551 12534 14426 17102 21639 25653 35513 43278 51306 71026 106539 122621 145367 213078 245242 290734 367863 436101 603721 735726 872202 1050767 1207442 1811163 2084557 2101534 3152301 3622326 3628139 4169114 6253671 6304602 7256278 10884417 12507342 15067957 17863039 21768834 30135914 35726078 45203871 53589117 61678363 90407742 107178234 123356726 185035089 256155269 303671663 370070178 512310538 607343326 768465807 911014989 1048532171 1536931614 1822029978 2097064342 3145596513 4354639573 6291193026 7579182371 8709279146 13063918719 15158364742 22737547113 26127837438 45475094226 128846100307 257692200614 386538300921 773076601842 2190383705219 4380767410438 6571151115657 13142302231314