Base | Representation |
---|---|
bin | 111111010011111… |
… | …1100110111100000 |
3 | 12111001102210212220 |
4 | 1332213330313200 |
5 | 13322321332034 |
6 | 550445151040 |
7 | 103434056154 |
oct | 17647746740 |
9 | 5431383786 |
10 | 2124402144 |
11 | 9a0195857 |
12 | 4b355b480 |
13 | 27b182bb7 |
14 | 1621dd064 |
15 | c6787749 |
hex | 7e9fcde0 |
2124402144 has 96 divisors (see below), whose sum is σ = 6004938240. Its totient is φ = 655153152.
The previous prime is 2124402041. The next prime is 2124402149. The reversal of 2124402144 is 4412044212.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2124402149) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85257 + ... + 107319.
It is an arithmetic number, because the mean of its divisors is an integer number (62551440).
Almost surely, 22124402144 is an apocalyptic number.
2124402144 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 2124402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002469120).
2124402144 is an abundant number, since it is smaller than the sum of its proper divisors (3880536096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2124402144 is a wasteful number, since it uses less digits than its factorization.
2124402144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22152 (or 22144 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 24.
The square root of 2124402144 is about 46091.2371715058. The cubic root of 2124402144 is about 1285.5202149122.
Adding to 2124402144 its reverse (4412044212), we get a palindrome (6536446356).
The spelling of 2124402144 in words is "two billion, one hundred twenty-four million, four hundred two thousand, one hundred forty-four".
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