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40120605243 = 32231496072143
BaseRepresentation
bin100101010111010111…
…111101101000111011
310211120001222220210100
4211113113331220323
51124131333331433
630233043450443
72620140342405
oct452727755073
9124501886710
1040120605243
11160190435a4
127938386a23
133a2505bb04
141d28603b75
15109c3abb13
hex9575fda3b

40120605243 has 48 divisors (see below), whose sum is σ = 61006233600. Its totient is φ = 25358743872.

The previous prime is 40120605193. The next prime is 40120605313. The reversal of 40120605243 is 34250602104.

40120605243 is a `hidden beast` number, since 4 + 0 + 12 + 0 + 605 + 2 + 43 = 666.

It is not a de Polignac number, because 40120605243 - 221 = 40118508091 is a prime.

It is a super-4 number, since 4×401206052434 (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (40120605043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18720630 + ... + 18722772.

It is an arithmetic number, because the mean of its divisors is an integer number (1270963200).

Almost surely, 240120605243 is an apocalyptic number.

40120605243 is a deficient number, since it is larger than the sum of its proper divisors (20885628357).

40120605243 is a wasteful number, since it uses less digits than its factorization.

40120605243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 40120605243 in words is "forty billion, one hundred twenty million, six hundred five thousand, two hundred forty-three".

Divisors: 1 3 9 23 69 149 207 447 607 1341 1821 2143 3427 5463 6429 10281 13961 19287 30843 41883 49289 90443 125649 147867 271329 319307 443601 813987 957921 1300801 2080189 2873763 3902403 6240567 7344061 11707209 18721701 22032183 29918423 66096549 89755269 193819349 269265807 581458047 1744374141 4457845027 13373535081 40120605243