Base | Representation |
---|---|
bin | 11110110001000011000… |
… | …111010001010100000000 |
3 | 21111010020201011120002100 |
4 | 132301003013101110000 |
5 | 234114440432422044 |
6 | 4255134544350400 |
7 | 305515040352360 |
oct | 36610307212400 |
9 | 7433221146070 |
10 | 2114249889024 |
11 | 745714a42479 |
12 | 2a190a015400 |
13 | 1244b03869c0 |
14 | 7448a2749a0 |
15 | 39ee325b869 |
hex | 1ec431d1500 |
2114249889024 has 864 divisors, whose sum is σ = 7850666363904. Its totient is φ = 532327956480.
The previous prime is 2114249889019. The next prime is 2114249889049. The reversal of 2114249889024 is 4209889424112.
2114249889024 is a `hidden beast` number, since 2 + 1 + 1 + 42 + 498 + 8 + 90 + 24 = 666.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404019912 + ... + 404025144.
Almost surely, 22114249889024 is an apocalyptic number.
2114249889024 is a gapful number since it is divisible by the number (24) 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 2114249889024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925333181952).
2114249889024 is an abundant number, since it is smaller than the sum of its proper divisors (5736416474880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2114249889024 is a wasteful number, since it uses less digits than its factorization.
2114249889024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5363 (or 5346 counting only the distinct ones).
The product of its (nonzero) digits is 2654208, while the sum is 54.
The spelling of 2114249889024 in words is "two trillion, one hundred fourteen billion, two hundred forty-nine million, eight hundred eighty-nine thousand, twenty-four".
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