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140042141220303 = 32721741455603839
BaseRepresentation
bin11111110101111000011010…
…000101001011110111001111
3200100211220020121101100011100
4133311320122011023313033
5121323422301123022203
61213502245503354143
741332465544533500
oct3765703205136717
9610756217340140
10140042141220303
11406925a1911843
12138591318b2953
13601abc0283c0a
14268210bdd4ba7
15112cc3de7dea3
hex7f5e1a14bdcf

140042141220303 has 72 divisors (see below), whose sum is σ = 255227448752640. Its totient is φ = 73479786992640.

The previous prime is 140042141220263. The next prime is 140042141220313. The reversal of 140042141220303 is 303022141240041.

140042141220303 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 42 + 1 + 412 + 203 + 0 + 3 = 666.

It is not a de Polignac number, because 140042141220303 - 226 = 140042074111439 is a prime.

It is a super-3 number, since 3×1400421412203033 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140042141220313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227494543 + ... + 228109296.

It is an arithmetic number, because the mean of its divisors is an integer number (3544825677120).

Almost surely, 2140042141220303 is an apocalyptic number.

140042141220303 is a deficient number, since it is larger than the sum of its proper divisors (115185307532337).

140042141220303 is a wasteful number, since it uses less digits than its factorization.

140042141220303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455603917 (or 455603907 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140042141220303 its reverse (303022141240041), we get a palindrome (443064282460344).

The spelling of 140042141220303 in words is "one hundred forty trillion, forty-two billion, one hundred forty-one million, two hundred twenty thousand, three hundred three".

Divisors: 1 3 7 9 17 21 41 49 51 63 119 123 147 153 287 357 369 441 697 833 861 1071 2009 2091 2499 2583 4879 6027 6273 7497 14637 18081 34153 43911 102459 307377 455603839 1366811517 3189226873 4100434551 7745265263 9567680619 18679757399 22324588111 23235795789 28703041857 54216856841 56039272197 66973764333 69707387367 130758301793 162650570523 168117816591 200921292999 317555875783 379517997887 392274905379 487951711569 915308112551 952667627349 1138553993661 1176824716137 2222891130481 2745924337653 2858002882047 3415661980983 6668673391443 8237773012959 15560237913367 20006020174329 46680713740101 140042141220303