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42102033123440 = 2452337618419993
BaseRepresentation
bin10011001001010101001001…
…01110101000100001110000
312112001220201002002120120102
421210222210232220201300
521004244430434422230
6225313223525131532
711603525425556633
oct1144524456504160
9175056632076512
1042102033123440
1112462410111764
12487b7a5859ba8
131a65287912494
14a57a6c027c1a
154d028568b045
hex264aa4ba8870

42102033123440 has 80 divisors (see below), whose sum is σ = 104903820422208. Its totient is φ = 15673236277248.

The previous prime is 42102033123419. The next prime is 42102033123443. The reversal of 42102033123440 is 4432133020124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102033123443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309141917 + ... + 309278076.

Almost surely, 242102033123440 is an apocalyptic number.

42102033123440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42102033123440 is an abundant number, since it is smaller than the sum of its proper divisors (62801787298768).

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

42102033123440 is a wasteful number, since it uses less digits than its factorization.

42102033123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618420066 (or 618420060 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 42102033123440 its reverse (4432133020124), we get a palindrome (46534166143564).

The spelling of 42102033123440 in words is "forty-two trillion, one hundred two billion, thirty-three million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 80 92 115 148 184 185 230 296 368 370 460 592 740 851 920 1480 1702 1840 2960 3404 4255 6808 8510 13616 17020 34040 68080 618419993 1236839986 2473679972 3092099965 4947359944 6184199930 9894719888 12368399860 14223659839 22881539741 24736799720 28447319678 45763079482 49473599440 56894639356 71118299195 91526158964 113789278712 114407698705 142236598390 183052317928 227578557424 228815397410 284473196780 366104635856 457630794820 526275414043 568946393560 915261589640 1052550828086 1137892787120 1830523179280 2105101656172 2631377070215 4210203312344 5262754140430 8420406624688 10525508280860 21051016561720 42102033123440