| Base | Representation |
|---|---|
| bin | 11101101101101011010… |
| … | …001110111000000000000 |
| 3 | 21020012112011121100122000 |
| 4 | 131231223101313000000 |
| 5 | 231423312240400230 |
| 6 | 4202012402544000 |
| 7 | 300344262520500 |
| oct | 35555321670000 |
| 9 | 7205464540560 |
| 10 | 2041909309440 |
| 11 | 717a72633310 |
| 12 | 28b89b368000 |
| 13 | 11a722059920 |
| 14 | 70b86869a00 |
| 15 | 381ac410b60 |
| hex | 1db6b477000 |
2041909309440 has 4992 divisors, whose sum is σ = 10843133091840. Its totient is φ = 356725555200.
The previous prime is 2041909309411. The next prime is 2041909309469. The reversal of 2041909309440 is 449039091402.
2041909309440 is a `hidden beast` number, since 20 + 419 + 0 + 93 + 0 + 94 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (2041909309411) and next prime (2041909309469).
It is a tau number, because it is divible by the number of its divisors (4992).
It is a super-2 number, since 2×20419093094402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 65868042225 + ... + 65868042255.
Almost surely, 22041909309440 is an apocalyptic number.
2041909309440 is a gapful number since it is divisible by the number (20) 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 2041909309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421566545920).
2041909309440 is an abundant number, since it is smaller than the sum of its proper divisors (8801223782400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2041909309440 is a wasteful number, since it uses less digits than its factorization.
2041909309440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 45.
The spelling of 2041909309440 in words is "two trillion, forty-one billion, nine hundred nine million, three hundred nine thousand, four hundred forty".
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