Base | Representation |
---|---|
bin | 111111110111111011… |
… | …0011011111100100100 |
3 | 111010001110210221020100 |
4 | 1333233312123330210 |
5 | 4221410002323134 |
6 | 143003014304100 |
7 | 12624102566511 |
oct | 1775766337444 |
9 | 433043727210 |
10 | 137168011044 |
11 | 531998479a9 |
12 | 22701358030 |
13 | cc1cc4469c |
14 | 68d347c308 |
15 | 387c2b8999 |
hex | 1fefd9bf24 |
137168011044 has 81 divisors (see below), whose sum is σ = 368427373041. Its totient is φ = 43021249920.
The previous prime is 137168011039. The next prime is 137168011051. The reversal of 137168011044 is 440110861731.
The square root of 137168011044 is 370362.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 106791704100 + 30376306944 = 326790^2 + 174288^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37775109 + ... + 37778739.
Almost surely, 2137168011044 is an apocalyptic number.
137168011044 is the 370362-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 137168011044
137168011044 is an abundant number, since it is smaller than the sum of its proper divisors (231259361997).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137168011044 is an equidigital number, since it uses as much as digits as its factorization.
137168011044 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7306 (or 3653 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
Multiplying 137168011044 by its sum of digits (36), we get a square (4938048397584 = 22221722).
137168011044 divided by its sum of digits (36) gives a square (3810222529 = 617272).
Adding to 137168011044 its reverse (440110861731), we get a palindrome (577278872775).
The spelling of 137168011044 in words is "one hundred thirty-seven billion, one hundred sixty-eight million, eleven thousand, forty-four".
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