Base | Representation |
---|---|
bin | 111001100001110100… |
… | …1000100000111000000 |
3 | 102210212210221200102222 |
4 | 1303003221010013000 |
5 | 4011003044444034 |
6 | 132430521030212 |
7 | 11632320424442 |
oct | 1630351040700 |
9 | 383783850388 |
10 | 123541406144 |
11 | 484369a2a62 |
12 | 1bb39925368 |
13 | b85aac0570 |
14 | 5d9d802492 |
15 | 3330d4112e |
hex | 1cc3a441c0 |
123541406144 has 56 divisors (see below), whose sum is σ = 264450716208. Its totient is φ = 56924006400.
The previous prime is 123541406141. The next prime is 123541406159. The reversal of 123541406144 is 441604145321.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123541406141) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376499 + ... + 623565.
It is an arithmetic number, because the mean of its divisors is an integer number (4722334218).
Almost surely, 2123541406144 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 123541406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225358104).
123541406144 is an abundant number, since it is smaller than the sum of its proper divisors (140909310064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123541406144 is a wasteful number, since it uses less digits than its factorization.
123541406144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 247693 (or 247683 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 35.
The spelling of 123541406144 in words is "one hundred twenty-three billion, five hundred forty-one million, four hundred six thousand, one hundred forty-four".
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