Base | Representation |
---|---|
bin | 10011001100111101110000… |
… | …10001110001100100000000 |
3 | 12112111212001022200001020001 |
4 | 21212132320101301210000 |
5 | 21013321210234413201 |
6 | 225450435500325344 |
7 | 11615536215404044 |
oct | 1146367021614400 |
9 | 175455038601201 |
10 | 42226915154176 |
11 | 12500374829825 |
12 | 489ba38543854 |
13 | 1a73c9a39291c |
14 | a5db178c4024 |
15 | 4d3644044301 |
hex | 2667b8471900 |
42226915154176 has 243 divisors, whose sum is σ = 87916731204771. Its totient is φ = 20242019745792.
The previous prime is 42226915154173. The next prime is 42226915154183. The reversal of 42226915154176 is 67145151962224.
The square root of 42226915154176 is 6498224.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 1320145848576 + 40906769305600 = 1148976^2 + 6395840^2 .
It is a super-2 number, since 2×422269151541762 (a number of 28 digits) contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (42226915154173) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 435329022160 + ... + 435329022256.
Almost surely, 242226915154176 is an apocalyptic number.
42226915154176 is the 6498224-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42226915154176
42226915154176 is an abundant number, since it is smaller than the sum of its proper divisors (45689816050595).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42226915154176 is an frugal number, since it uses more digits than its factorization.
42226915154176 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 474 (or 231 counting only the distinct ones).
The product of its digits is 7257600, while the sum is 55.
The spelling of 42226915154176 in words is "forty-two trillion, two hundred twenty-six billion, nine hundred fifteen million, one hundred fifty-four thousand, one hundred seventy-six".
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