Base | Representation |
---|---|
bin | 100101110111011001… |
… | …101010011110000000 |
3 | 10212221112001102201000 |
4 | 211313121222132000 |
5 | 1131231412000140 |
6 | 30402240212000 |
7 | 2636353430340 |
oct | 456731523600 |
9 | 125845042630 |
10 | 40657921920 |
11 | 16274378570 |
12 | 7a6830a000 |
13 | 3aac47b285 |
14 | 1d79b10d20 |
15 | 10ce646a30 |
hex | 97766a780 |
40657921920 has 512 divisors, whose sum is σ = 179534361600. Its totient is φ = 8448122880.
The previous prime is 40657921919. The next prime is 40657921921. The reversal of 40657921920 is 2912975604.
40657921920 is a `hidden beast` number, since 40 + 6 + 579 + 2 + 19 + 20 = 666.
40657921920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (40657921919) and next prime (40657921921).
It is a super-2 number, since 2×406579219202 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40657921921) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1315282 + ... + 1345838.
It is an arithmetic number, because the mean of its divisors is an integer number (350653050).
Almost surely, 240657921920 is an apocalyptic number.
40657921920 is a gapful number since it is divisible by the number (40) 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 40657921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89767180800).
40657921920 is an abundant number, since it is smaller than the sum of its proper divisors (138876439680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40657921920 is a wasteful number, since it uses less digits than its factorization.
40657921920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30603 (or 30585 counting only the distinct ones).
The product of its (nonzero) digits is 272160, while the sum is 45.
The spelling of 40657921920 in words is "forty billion, six hundred fifty-seven million, nine hundred twenty-one thousand, nine hundred twenty".
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