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42002435333265 = 35113111087740653
BaseRepresentation
bin10011000110011011101000…
…01111001101110010010001
312111201101121221021121110220
421203031310033031302101
521001131441421131030
6225155352530543253
711563401334405551
oct1143156417156221
9174641557247426
1042002435333265
1112424150820880
12486442a737b29
131a58a74539124
14a52d00585161
154cc8a68eea10
hex2633743cdc91

42002435333265 has 64 divisors (see below), whose sum is σ = 75685216223232. Its totient is φ = 19706083372800.

The previous prime is 42002435333207. The next prime is 42002435333297. The reversal of 42002435333265 is 56233353420024.

42002435333265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42002435333265 - 27 = 42002435333137 is a prime.

It is a super-2 number, since 2×420024353332652 (a number of 28 digits) contains 22 as substring.

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, 56339679 + ... + 57080331.

It is an arithmetic number, because the mean of its divisors is an integer number (1182581503488).

Almost surely, 242002435333265 is an apocalyptic number.

It is an amenable number.

42002435333265 is a deficient number, since it is larger than the sum of its proper divisors (33682780889967).

42002435333265 is a wasteful number, since it uses less digits than its factorization.

42002435333265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751790.

The product of its (nonzero) digits is 1555200, while the sum is 42.

Adding to 42002435333265 its reverse (56233353420024), we get a palindrome (98235788753289).

The spelling of 42002435333265 in words is "forty-two trillion, two billion, four hundred thirty-five million, three hundred thirty-three thousand, two hundred sixty-five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 11087 33261 55435 121957 166305 343697 365871 609785 740653 1031091 1718485 1829355 2221959 3703265 3780667 5155455 8147183 11109795 11342001 18903335 22960243 24441549 40735915 56710005 68880729 114801215 122207745 252562673 344403645 757688019 1262813365 3788440095 8211619811 24634859433 41058099055 90327817921 123174297165 254560214141 270983453763 451639089605 763680642423 1272801070705 1354917268815 2800162355551 3818403212115 8400487066653 14000811777755 42002435333265