| Base | Representation |
|---|---|
| bin | 110001110101111001011… |
| … | …011010011010100000000 |
| 3 | 110010102211221002120000000 |
| 4 | 301311321123103110000 |
| 5 | 422104124242310130 |
| 6 | 11141251540000000 |
| 7 | 502312550532111 |
| oct | 61657133232400 |
| 9 | 13112757076000 |
| 10 | 3425126135040 |
| 11 | 1100651457235 |
| 12 | 47398b990000 |
| 13 | 1bacac868c6c |
| 14 | bbac40b8208 |
| 15 | 5e166e28260 |
| hex | 31d796d3500 |
3425126135040 has 1152 divisors, whose sum is σ = 13149048729600. Its totient is φ = 852797030400.
The previous prime is 3425126135029. The next prime is 3425126135063. The reversal of 3425126135040 is 405316215243.
3425126135040 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 1 + 261 + 350 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 3425126134986 and 3425126135004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2516623960 + ... + 2516625320.
It is an arithmetic number, because the mean of its divisors is an integer number (11414104800).
Almost surely, 23425126135040 is an apocalyptic number.
3425126135040 is a gapful number since it is divisible by the number (30) 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 3425126135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574524364800).
3425126135040 is an abundant number, since it is smaller than the sum of its proper divisors (9723922594560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3425126135040 is an equidigital number, since it uses as much as digits as its factorization.
3425126135040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1463 (or 1431 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The spelling of 3425126135040 in words is "three trillion, four hundred twenty-five billion, one hundred twenty-six million, one hundred thirty-five thousand, forty".
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