| Base | Representation |
|---|---|
| bin | 100000101111100011100101… |
| … | …010101100011000111111000 |
| 3 | 200212212210101200002201220000 |
| 4 | 200233203211111203013320 |
| 5 | 122333341241322203030 |
| 6 | 1230135115111433000 |
| 7 | 42222024545115324 |
| oct | 4057434525430770 |
| 9 | 625783350081800 |
| 10 | 144005511131640 |
| 11 | 419804378aa664 |
| 12 | 14199296385760 |
| 13 | 624787a219772 |
| 14 | 277bc92540984 |
| 15 | 119ada9214860 |
| hex | 82f8e55631f8 |
144005511131640 has 320 divisors, whose sum is σ = 490851885411360. Its totient is φ = 37859753963520.
The previous prime is 144005511131569. The next prime is 144005511131641. The reversal of 144005511131640 is 46131115500441.
144005511131640 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 0 + 5 + 5 + 1 + 1 + 1 + 3 + 1 + 640 = 666.
144005511131640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 144005511131595 and 144005511131604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144005511131641) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 577220607 + ... + 577470033.
Almost surely, 2144005511131640 is an apocalyptic number.
144005511131640 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 144005511131640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245425942705680).
144005511131640 is an abundant number, since it is smaller than the sum of its proper divisors (346846374279720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144005511131640 is a wasteful number, since it uses less digits than its factorization.
144005511131640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 251964 (or 251951 counting only the distinct ones).
The product of its (nonzero) digits is 28800, while the sum is 36.
The spelling of 144005511131640 in words is "one hundred forty-four trillion, five billion, five hundred eleven million, one hundred thirty-one thousand, six hundred forty".
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