Base | Representation |
---|---|
bin | 100000111101011010… |
… | …101011001011010000 |
3 | 10101100101210102222000 |
4 | 200331122223023100 |
5 | 1034434334004021 |
6 | 24131421314000 |
7 | 2362000144020 |
oct | 407532531320 |
9 | 111311712860 |
10 | 35390141136 |
11 | 140108a2929 |
12 | 6a38105900 |
13 | 344ccc2a1c |
14 | 19da265a80 |
15 | dc1e47b26 |
hex | 83d6ab2d0 |
35390141136 has 640 divisors, whose sum is σ = 129591705600. Its totient is φ = 9014353920.
The previous prime is 35390141131. The next prime is 35390141141. The reversal of 35390141136 is 63114109353.
It is a happy number.
35390141136 is a `hidden beast` number, since 3 + 539 + 0 + 1 + 4 + 113 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (35390141131) and next prime (35390141141).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 35390141136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (35390141131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84463135 + ... + 84463553.
It is an arithmetic number, because the mean of its divisors is an integer number (202487040).
Almost surely, 235390141136 is an apocalyptic number.
35390141136 is a gapful number since it is divisible by the number (36) 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 35390141136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64795852800).
35390141136 is an abundant number, since it is smaller than the sum of its proper divisors (94201564464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35390141136 is a wasteful number, since it uses less digits than its factorization.
35390141136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 544 (or 532 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The spelling of 35390141136 in words is "thirty-five billion, three hundred ninety million, one hundred forty-one thousand, one hundred thirty-six".
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