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14003040134034 = 2327237988347441
BaseRepresentation
bin1100101111000101011000…
…1110111010001110010010
31211120200021221110202122100
43023301112032322032102
53313411211233242114
645440524031421230
72643454250150100
oct313612616721622
954520257422570
1014003040134034
114509724108356
1216a1a71984816
137a7633a4b023
14365a72120c70
151943b7c6d909
hexcbc563ba392

14003040134034 has 144 divisors (see below), whose sum is σ = 35427321090720. Its totient is φ = 3985709172480.

The previous prime is 14003040133993. The next prime is 14003040134081. The reversal of 14003040134034 is 43043104030041.

14003040134034 is a `hidden beast` number, since 14 + 0 + 0 + 304 + 0 + 1 + 340 + 3 + 4 = 666.

It is a super-2 number, since 2×140030401340342 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14003040133989 and 14003040134007.

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 71 ways as a sum of consecutive naturals, for example, 295143754 + ... + 295191194.

It is an arithmetic number, because the mean of its divisors is an integer number (246023063130).

Almost surely, 214003040134034 is an apocalyptic number.

14003040134034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14003040134034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713660545360).

14003040134034 is an abundant number, since it is smaller than the sum of its proper divisors (21424280956686).

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

14003040134034 is a wasteful number, since it uses less digits than its factorization.

14003040134034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48725 (or 48715 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14003040134034 its reverse (43043104030041), we get a palindrome (57046144164075).

The spelling of 14003040134034 in words is "fourteen trillion, three billion, forty million, one hundred thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 379 441 758 882 883 1137 1766 2274 2649 2653 3411 5298 5306 6181 6822 7947 7959 12362 15894 15918 18543 18571 23877 37086 37142 43267 47441 47754 55629 55713 86534 94882 111258 111426 129801 142323 167139 259602 284646 332087 334278 334657 389403 426969 664174 669314 778806 853938 996261 1003971 1992522 2007942 2324609 2342599 2988783 3011913 4649218 4685198 5977566 6023826 6973827 7027797 13947654 14055594 16398193 17980139 20921481 21083391 32796386 35960278 41842962 41890403 42166782 49194579 53940417 83780806 98389158 107880834 125671209 125860973 147583737 161821251 251342418 251721946 293232821 295167474 323642502 377013627 377582919 586465642 754027254 755165838 879698463 881026811 1132748757 1759396926 1762053622 2052629747 2265497514 2639095389 2643080433 4105259494 5278190778 5286160866 6157889241 7929241299 12315778482 15858482598 15876462737 18473667723 31752925474 36947335446 47629388211 95258776422 111135239159 142888164633 222270478318 285776329266 333405717477 666811434954 777946674113 1000217152431 1555893348226 2000434304862 2333840022339 4667680044678 7001520067017 14003040134034