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2431068438942 = 2321121385861003
BaseRepresentation
bin100011011000000110111…
…110001000000110011110
322121102000100011110000200
4203120012332020012132
5304312312010021232
65100452321404330
7340432066531203
oct43300676100636
98542010143020
102431068438942
11858012835200
123331a7a996a6
13148330717aa0
1485942d41caa
15433871ee77c
hex23606f8819e

2431068438942 has 72 divisors (see below), whose sum is σ = 6235054388472. Its totient is φ = 680019135840.

The previous prime is 2431068438913. The next prime is 2431068438943. The reversal of 2431068438942 is 2498348601342.

It is a happy number.

2431068438942 is a `hidden beast` number, since 2 + 43 + 106 + 84 + 389 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431068438943) 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 35 ways as a sum of consecutive naturals, for example, 42902188 + ... + 42958815.

Almost surely, 22431068438942 is an apocalyptic number.

2431068438942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2431068438942 is an abundant number, since it is smaller than the sum of its proper divisors (3803985949530).

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

2431068438942 is a wasteful number, since it uses less digits than its factorization.

2431068438942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85861046 (or 85861032 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2431068438942 in words is "two trillion, four hundred thirty-one billion, sixty-eight million, four hundred thirty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 3146 4719 9438 14157 28314 85861003 171722006 257583009 515166018 772749027 944471033 1116193039 1545498054 1888942066 2232386078 2833413099 3348579117 5666826198 6697158234 8500239297 10045737351 10389181363 12278123429 17000478594 20091474702 20778362726 24556246858 31167544089 36834370287 62335088178 73668740574 93502632267 110503110861 135059357719 187005264534 221006221722 270118715438 405178073157 810356146314 1215534219471 2431068438942