Base | Representation |
---|---|
bin | 100001011111111101010… |
… | …000001001001100000000 |
3 | 22011002000021012100100000 |
4 | 201133331100021030000 |
5 | 300204102412332234 |
6 | 4521314453200000 |
7 | 325214050203111 |
oct | 41377520111400 |
9 | 8132007170300 |
10 | 2302056370944 |
11 | 808329897000 |
12 | 3121a2030000 |
13 | 139110416505 |
14 | 7d5c4b62208 |
15 | 3ed35e86899 |
hex | 217fd409300 |
2302056370944 has 432 divisors, whose sum is σ = 7571303236224. Its totient is φ = 697567749120.
The previous prime is 2302056370937. The next prime is 2302056370949. The reversal of 2302056370944 is 4490736502032.
2302056370944 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 0 + 5 + 637 + 0 + 9 + 4 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×23020563709442 (a number of 26 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2302056370944.
It is not an unprimeable number, because it can be changed into a prime (2302056370949) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82784947 + ... + 82812749.
Almost surely, 22302056370944 is an apocalyptic number.
2302056370944 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 2302056370944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785651618112).
2302056370944 is an abundant number, since it is smaller than the sum of its proper divisors (5269246865280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2302056370944 is an frugal number, since it uses more digits than its factorization.
2302056370944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27867 (or 27819 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 45.
The spelling of 2302056370944 in words is "two trillion, three hundred two billion, fifty-six million, three hundred seventy thousand, nine hundred forty-four".
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