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14361014641248 = 25321139623114407
BaseRepresentation
bin1101000011111010111100…
…1011010010001001100000
31212211220021210122220101100
43100332233023102021200
53340242324222004443
650313205315434400
73011356221231402
oct320765713221140
955756253586340
1014361014641248
114637521412a30
12173b3168b5a00
138023127a5172
14379110b02b72
1519d869e343d3
hexd0faf2d2260

14361014641248 has 144 divisors (see below), whose sum is σ = 44553297874176. Its totient is φ = 4351674750720.

The previous prime is 14361014641247. The next prime is 14361014641249. The reversal of 14361014641248 is 84214641016341.

14361014641248 is a `hidden beast` number, since 1 + 4 + 3 + 61 + 0 + 1 + 464 + 124 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14361014641247) and next prime (14361014641249).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×143610146412482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14361014641241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125468461 + ... + 125582867.

It is an arithmetic number, because the mean of its divisors is an integer number (309397901904).

Almost surely, 214361014641248 is an apocalyptic number.

14361014641248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14361014641248 is an abundant number, since it is smaller than the sum of its proper divisors (30192283232928).

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

14361014641248 is a wasteful number, since it uses less digits than its factorization.

14361014641248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154057 (or 154046 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 14361014641248 its reverse (84214641016341), we get a palindrome (98575655657589).

The spelling of 14361014641248 in words is "fourteen trillion, three hundred sixty-one billion, fourteen million, six hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 39623 79246 114407 118869 158492 228814 237738 316984 343221 356607 435853 457628 475476 633968 686442 713214 871706 915256 950952 1029663 1258477 1267936 1307559 1372884 1426428 1743412 1830512 1901904 2059326 2516954 2615118 2745768 2852856 3486824 3661024 3775431 3803808 3922677 4118652 5033908 5230236 5491536 5705712 6973648 7550862 7845354 8237304 10067816 10460472 10983072 11326293 11411424 13947296 15101724 15690708 16474608 20135632 20920944 22652586 30203448 31381416 32949216 40271264 41841888 45305172 60406896 62762832 90610344 120813792 125525664 181220688 362441376 4533148561 9066297122 13599445683 18132594244 27198891366 36265188488 40798337049 49864634171 54397782732 72530376976 81596674098 99729268342 108795565464 145060753952 149593902513 163193348196 199458536684 217591130928 299187805026 326386696392 398917073368 435182261856 448781707539 598375610052 652773392784 797834146736 897563415078 1196751220104 1305546785568 1595668293472 1795126830156 2393502440208 3590253660312 4787004880416 7180507320624 14361014641248