| Base | Representation |
|---|---|
| bin | 10011000110011110011000… |
| … | …11000011001011000000000 |
| 3 | 12111201112102222220112011000 |
| 4 | 21203033030120121120000 |
| 5 | 21001143004004310130 |
| 6 | 225200155354452000 |
| 7 | 11563453102124154 |
| oct | 1143171430313000 |
| 9 | 174645388815130 |
| 10 | 42003914135040 |
| 11 | 1242483a542500 |
| 12 | 4864781a34000 |
| 13 | 1a58c4ba18770 |
| 14 | a53000b2b064 |
| 15 | 4cc94165d260 |
| hex | 2633cc619600 |
42003914135040 has 960 divisors, whose sum is σ = 176613942859200. Its totient is φ = 9399452958720.
The previous prime is 42003914134997. The next prime is 42003914135059. The reversal of 42003914135040 is 4053141930024.
42003914135040 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 3 + 9 + 141 + 3 + 504 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×420039141350402 (a number of 28 digits) contains 22 as substring.
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 = 42003914134986 and 42003914135004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108532596 + ... + 108918924.
It is an arithmetic number, because the mean of its divisors is an integer number (183972857145).
Almost surely, 242003914135040 is an apocalyptic number.
42003914135040 is a gapful number since it is divisible by the number (40) 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 42003914135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88306971429600).
42003914135040 is an abundant number, since it is smaller than the sum of its proper divisors (134610028724160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42003914135040 is a wasteful number, since it uses less digits than its factorization.
42003914135040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 386396 (or 386363 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The spelling of 42003914135040 in words is "forty-two trillion, three billion, nine hundred fourteen million, one hundred thirty-five thousand, forty".
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