| Base | Representation |
|---|---|
| bin | 100001111010111… |
| … | …1101001000000000 |
| 3 | 2221022202102211200 |
| 4 | 1003311331020000 |
| 5 | 4312340424342 |
| 6 | 304535541200 |
| 7 | 40130455200 |
| oct | 10365751000 |
| 9 | 2838672750 |
| 10 | 1138217472 |
| 11 | 5345486a7 |
| 12 | 27922a800 |
| 13 | 151a72082 |
| 14 | ab24a400 |
| 15 | 69dd494c |
| hex | 43d7d200 |
1138217472 has 270 divisors, whose sum is σ = 3875873859. Its totient is φ = 320624640.
The previous prime is 1138217459. The next prime is 1138217489. The reversal of 1138217472 is 2747128311.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 569108736 + 569108736 = 23856^2 + 23856^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=23856.
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 and also a Zuckerman number because it is divisible by the product of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16031197 + ... + 16031267.
Almost surely, 21138217472 is an apocalyptic number.
1138217472 is a gapful number since it is divisible by the number (12) 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 1138217472
1138217472 is an abundant number, since it is smaller than the sum of its proper divisors (2737656387).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1138217472 is an frugal number, since it uses more digits than its factorization.
1138217472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 83 counting only the distinct ones).
The product of its digits is 18816, while the sum is 36.
The square root of 1138217472 is about 33737.4787439726. The cubic root of 1138217472 is about 1044.0991670455.
The spelling of 1138217472 in words is "one billion, one hundred thirty-eight million, two hundred seventeen thousand, four hundred seventy-two".
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