Base | Representation |
---|---|
bin | 111111000000110… |
… | …1010101111100100 |
3 | 12110100112221111000 |
4 | 1332001222233210 |
5 | 13312234211221 |
6 | 545450113300 |
7 | 103252550430 |
oct | 17601525744 |
9 | 5410487430 |
10 | 2114366436 |
11 | 995560886 |
12 | 4b011b830 |
13 | 27907b000 |
14 | 160b499c0 |
15 | c5953e26 |
hex | 7e06abe4 |
2114366436 has 384 divisors, whose sum is σ = 7250432000. Its totient is φ = 520401024.
The previous prime is 2114366431. The next prime is 2114366447. The reversal of 2114366436 is 6346634112.
2114366436 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 3 + 6 + 643 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2114366436.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2114366431) 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, 31557675 + ... + 31557741.
Almost surely, 22114366436 is an apocalyptic number.
2114366436 is a gapful number since it is divisible by the number (26) 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 2114366436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625216000).
2114366436 is an abundant number, since it is smaller than the sum of its proper divisors (5136065564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2114366436 is a wasteful number, since it uses less digits than its factorization.
2114366436 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 145 (or 111 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The square root of 2114366436 is about 45982.2404412834. The cubic root of 2114366436 is about 1283.4927466146.
The spelling of 2114366436 in words is "two billion, one hundred fourteen million, three hundred sixty-six thousand, four hundred thirty-six".
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