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14142541430115 = 345734747930013
BaseRepresentation
bin1100110111001101000100…
…1010000111110101100011
31212002000101000202212020000
43031303101022013311203
53323202411101230430
650024554400351043
72656523234461110
oct315632112076543
955060330685200
1014142541430115
1145628aaa3a89a
121704b04615483
137b78361bcb37
1436c707413907
15197d2ecd0e60
hexcdcd1287d63

14142541430115 has 160 divisors (see below), whose sum is σ = 29118631956480. Its totient is φ = 6432857554176.

The previous prime is 14142541430077. The next prime is 14142541430123. The reversal of 14142541430115 is 51103414524141.

14142541430115 is a `hidden beast` number, since 1 + 41 + 42 + 541 + 4 + 30 + 1 + 1 + 5 = 666.

It is not a de Polignac number, because 14142541430115 - 28 = 14142541429859 is a prime.

It is a super-2 number, since 2×141425414301152 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14142541430115.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 471198849 + ... + 471228861.

It is an arithmetic number, because the mean of its divisors is an integer number (181991449728).

Almost surely, 214142541430115 is an apocalyptic number.

14142541430115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14142541430115 is an abundant number, since it is smaller than the sum of its proper divisors (14976090526365).

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

14142541430115 is a wasteful number, since it uses less digits than its factorization.

14142541430115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30863 (or 30854 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 14142541430115 its reverse (51103414524141), we get a palindrome (65245955954256).

The spelling of 14142541430115 in words is "fourteen trillion, one hundred forty-two billion, five hundred forty-one million, four hundred thirty thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 347 405 479 567 945 1041 1437 1735 2395 2429 2835 3123 3353 4311 5205 7185 7287 9369 10059 12145 12933 15615 16765 21555 21861 28107 30013 30177 36435 38799 46845 50295 64665 65583 90039 90531 109305 140535 150065 150885 166213 193995 196749 210091 270117 271593 327915 450195 452655 498639 630273 810351 831065 983745 1050455 1163491 1350585 1357965 1495917 1890819 2431053 2493195 3151365 3490473 4051755 4487751 5672457 5817455 7479585 9454095 10414511 10471419 12155265 13463253 14376227 17017371 17452365 22438755 28362285 31243533 31414257 43128681 52072555 52357095 67316265 71881135 72901577 85086855 93730599 94242771 100633589 129386043 156217665 157071285 215643405 218704731 281191797 301900767 364507885 388158129 468652995 471213855 503167945 646930215 656114193 843575391 905702301 1093523655 1164474387 1405958985 1509503835 1940790645 1968342579 2717106903 3280570965 4217876955 4528511505 4988550769 5822371935 5905027737 8151320709 9841712895 13585534515 14965652307 24942753845 29525138685 34919855383 40756603545 44896956921 74828261535 104759566149 134690870763 174599276915 224484784605 314278698447 404072612289 523797830745 673454353815 942836095341 1571393492235 2020363061445 2828508286023 4714180476705 14142541430115