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14011023532002 = 23719231033773849
BaseRepresentation
bin1100101111100011001000…
…0101001001111111100010
31211121102220022122101211120
43023320302011021333202
53314024034011011002
645444324135353110
72644156140002610
oct313706205117742
954542808571746
1014011023532002
114512050576412
1216a351b522796
137a83069ca553
143661cc5066b0
151946d3a89cbc
hexcbe32149fe2

14011023532002 has 128 divisors (see below), whose sum is σ = 35180296704000. Its totient is φ = 3627167993856.

The previous prime is 14011023531997. The next prime is 14011023532019. The reversal of 14011023532002 is 20023532011041.

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 63 ways as a sum of consecutive naturals, for example, 189688374 + ... + 189762222.

It is an arithmetic number, because the mean of its divisors is an integer number (274846068000).

Almost surely, 214011023532002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011023532002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17590148352000).

14011023532002 is an abundant number, since it is smaller than the sum of its proper divisors (21169273171998).

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

14011023532002 is a wasteful number, since it uses less digits than its factorization.

14011023532002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84240.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 14011023532002 its reverse (20023532011041), we get a palindrome (34034555543043).

The spelling of 14011023532002 in words is "fourteen trillion, eleven billion, twenty-three million, five hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 2622 3059 6118 9177 10337 18354 20674 31011 62022 72359 73849 144718 147698 196403 217077 221547 237751 392806 434154 443094 475502 516943 589209 713253 1033886 1178418 1374821 1403131 1426506 1550829 1664257 1698527 2749642 2806262 3101658 3328514 3397054 4124463 4209393 4517269 4992771 5095581 8248926 8418786 9034538 9821917 9985542 10191162 11889689 13551807 19643834 23779378 27103614 29465751 31620883 32272013 35669067 58931502 63241766 64544026 71338134 94862649 96816039 189725298 193632078 225904091 451808182 677712273 763377113 1355424546 1526754226 2290131339 4580262678 5343639791 10687279582 14504165147 16030919373 17557673599 29008330294 32061838746 35115347198 43512495441 52673020797 87024990882 101529156029 105346041594 122903715193 203058312058 245807430386 304587468087 333595798381 368711145579 609174936174 667191596762 737422291158 1000787395143 2001574790286 2335170588667 4670341177334 7005511766001 14011023532002