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14002003101042 = 23311431093750123
BaseRepresentation
bin1100101111000001100001…
…1010111100010101110010
31211120120121200010000211000
43023300120122330111302
53313402100243213132
645440233104302430
72643416455416225
oct313603032742562
954516550100730
1014002003101042
1145092417a00a0
1216a1822611a16
137a74c9c45938
143659b44d35bc
15194356bc487c
hexcbc186bc572

14002003101042 has 128 divisors (see below), whose sum is σ = 34737519928320. Its totient is φ = 4143894491520.

The previous prime is 14002003101011. The next prime is 14002003101049. The reversal of 14002003101042 is 24010130020041.

14002003101042 is a `hidden beast` number, since 1 + 400 + 200 + 3 + 10 + 10 + 42 = 666.

14002003101042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140020031010422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14002003101049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279327793 + ... + 279377915.

It is an arithmetic number, because the mean of its divisors is an integer number (271386874440).

Almost surely, 214002003101042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14002003101042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368759964160).

14002003101042 is an abundant number, since it is smaller than the sum of its proper divisors (20735516827278).

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

14002003101042 is a wasteful number, since it uses less digits than its factorization.

14002003101042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61125 (or 61119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14002003101042 its reverse (24010130020041), we get a palindrome (38012133121083).

The spelling of 14002003101042 in words is "fourteen trillion, two billion, three million, one hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 774 946 1161 1419 2322 2838 4257 8514 10937 12771 21874 25542 32811 50123 65622 98433 100246 120307 150369 196866 240614 295299 300738 360921 451107 470291 551353 590598 721842 902214 940582 1082763 1102706 1353321 1410873 1654059 2155289 2165526 2706642 2821746 3248289 3308118 4232619 4310578 4962177 5173201 6465867 6496578 8465238 9924354 10346402 12697857 12931734 14886531 15519603 19397601 23708179 25395714 29773062 31039206 38795202 46558809 47416358 58192803 71124537 93117618 116385606 139676427 142249074 213373611 279352854 426747222 548195251 640120833 1096390502 1280241666 1644585753 3289171506 4933757259 6030147761 9867514518 12060295522 14801271777 18090443283 23572395793 29602543554 36180886566 47144791586 54271329849 70717187379 108542659698 141434374758 162813989547 212151562137 259296353723 325627979094 424303124274 518592707446 636454686411 777889061169 1272909372822 1555778122338 2333667183507 4667334367014 7001001550521 14002003101042