Base | Representation |
---|---|
bin | 100101110000001101… |
… | …001100110100000000 |
3 | 10212122002220211212000 |
4 | 211300031030310000 |
5 | 1131010011323313 |
6 | 30342245104000 |
7 | 2633356430661 |
oct | 456015146400 |
9 | 125562824760 |
10 | 40537214208 |
11 | 16212223027 |
12 | 7a339b8000 |
13 | 3a904671aa |
14 | 1d67a8d368 |
15 | 10c3c51673 |
hex | 97034cd00 |
40537214208 has 144 divisors (see below), whose sum is σ = 123116333760. Its totient is φ = 13147121664.
The previous prime is 40537214203. The next prime is 40537214219. The reversal of 40537214208 is 80241273504.
It is a happy number.
40537214208 is a `hidden beast` number, since 405 + 37 + 2 + 14 + 208 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40537214203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176491 + ... + 334997.
It is an arithmetic number, because the mean of its divisors is an integer number (854974540).
Almost surely, 240537214208 is an apocalyptic number.
40537214208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40537214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61558166880).
40537214208 is an abundant number, since it is smaller than the sum of its proper divisors (82579119552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40537214208 is a wasteful number, since it uses less digits than its factorization.
40537214208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 158569 (or 158549 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The spelling of 40537214208 in words is "forty billion, five hundred thirty-seven million, two hundred fourteen thousand, two hundred eight".
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