Base | Representation |
---|---|
bin | 100000110001010111101110… |
… | …110100010001011001000000 |
3 | 200220022201022010210122122001 |
4 | 200301113232310101121000 |
5 | 122342412144400411000 |
6 | 1230312302210153344 |
7 | 42234031214020156 |
oct | 4061275664213100 |
9 | 626281263718561 |
10 | 144130224232000 |
11 | 41a19315125846 |
12 | 141b94a0582854 |
13 | 62565639a06c6 |
14 | 2783d237c53d6 |
15 | 119e257d4e46a |
hex | 8315eed11640 |
144130224232000 has 224 divisors, whose sum is σ = 371103472696320. Its totient is φ = 55390947840000.
The previous prime is 144130224231979. The next prime is 144130224232009. The reversal of 144130224232000 is 232422031441.
It is a self number, because there is not a number n which added to its sum of digits gives 144130224232000.
It is not an unprimeable number, because it can be changed into a prime (144130224232009) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32381460 + ... + 36562540.
It is an arithmetic number, because the mean of its divisors is an integer number (1656711931680).
Almost surely, 2144130224232000 is an apocalyptic number.
144130224232000 is a gapful number since it is divisible by the number (10) 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 144130224232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185551736348160).
144130224232000 is an abundant number, since it is smaller than the sum of its proper divisors (226973248464320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144130224232000 is a wasteful number, since it uses less digits than its factorization.
144130224232000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4181278 (or 4181258 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 28.
Adding to 144130224232000 its reverse (232422031441), we get a palindrome (144362646263441).
The spelling of 144130224232000 in words is "one hundred forty-four trillion, one hundred thirty billion, two hundred twenty-four million, two hundred thirty-two thousand".
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