Base | Representation |
---|---|
bin | 100000111100111010001011… |
… | …001011001000100011000000 |
3 | 201000010111220111210211212222 |
4 | 200330322023023020203000 |
5 | 122443410023043000443 |
6 | 1232120432441310212 |
7 | 42345231023135345 |
oct | 4074721313104300 |
9 | 630114814724788 |
10 | 144923121453248 |
11 | 421a4606a16756 |
12 | 143070a4195368 |
13 | 62b32652698c8 |
14 | 27b04606b87cc |
15 | 11b4bb27c4468 |
hex | 83ce8b2c88c0 |
144923121453248 has 112 divisors (see below), whose sum is σ = 304690195434240. Its totient is φ = 68252918621184.
The previous prime is 144923121453217. The next prime is 144923121453281. The reversal of 144923121453248 is 842354121329441.
It is a super-2 number, since 2×1449231214532482 (a number of 29 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 144923121453248.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 35576138 + ... + 39439926.
It is an arithmetic number, because the mean of its divisors is an integer number (2720448173520).
Almost surely, 2144923121453248 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144923121453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152345097717120).
144923121453248 is an abundant number, since it is smaller than the sum of its proper divisors (159767073980992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144923121453248 is a wasteful number, since it uses less digits than its factorization.
144923121453248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3864214 (or 3864204 counting only the distinct ones).
The product of its digits is 6635520, while the sum is 53.
The spelling of 144923121453248 in words is "one hundred forty-four trillion, nine hundred twenty-three billion, one hundred twenty-one million, four hundred fifty-three thousand, two hundred forty-eight".
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