| Base | Representation |
|---|---|
| bin | 11010000010010001010100… |
| … | …011110101101111110100000 |
| 3 | 120000102121001102200200011000 |
| 4 | 122002101110132231332200 |
| 5 | 110002023220313401034 |
| 6 | 1043310552241152000 |
| 7 | 33055505504142033 |
| oct | 3202212436557640 |
| 9 | 500377042620130 |
| 10 | 114505245450144 |
| 11 | 33537446a0261a |
| 12 | 10a13a7302b600 |
| 13 | 4bb7a4bb84cc3 |
| 14 | 203c124db901a |
| 15 | d38826a8d599 |
| hex | 6824547adfa0 |
114505245450144 has 192 divisors, whose sum is σ = 340312736292480. Its totient is φ = 37444105820160.
The previous prime is 114505245450137. The next prime is 114505245450149. The reversal of 114505245450144 is 441054542505411.
114505245450144 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 5 + 2 + 454 + 50 + 144 = 666.
It is a super-3 number, since 3×1145052454501443 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 114505245450144.
It is not an unprimeable number, because it can be changed into a prime (114505245450149) 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, 427425999 + ... + 427693809.
It is an arithmetic number, because the mean of its divisors is an integer number (1772462168190).
Almost surely, 2114505245450144 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 114505245450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170156368146240).
114505245450144 is an abundant number, since it is smaller than the sum of its proper divisors (225807490842336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114505245450144 is a wasteful number, since it uses less digits than its factorization.
114505245450144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 277220 (or 277206 counting only the distinct ones).
The product of its (nonzero) digits is 1280000, while the sum is 45.
Adding to 114505245450144 its reverse (441054542505411), we get a palindrome (555559787955555).
The spelling of 114505245450144 in words is "one hundred fourteen trillion, five hundred five billion, two hundred forty-five million, four hundred fifty thousand, one hundred forty-four".
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