| Base | Representation |
|---|---|
| bin | 10011101001010000000… |
| … | …101100110000111000000 |
| 3 | 11210001111021020212212000 |
| 4 | 103221100011212013000 |
| 5 | 134104211111000130 |
| 6 | 2512055320104000 |
| 7 | 166350231234000 |
| oct | 23512005460700 |
| 9 | 4701437225760 |
| 10 | 1349963375040 |
| 11 | 48057514a385 |
| 12 | 199770005000 |
| 13 | 9a3bb3b2897 |
| 14 | 494a50a4000 |
| 15 | 251b0483260 |
| hex | 13a501661c0 |
1349963375040 has 448 divisors, whose sum is σ = 5553797376000. Its totient is φ = 308562379776.
The previous prime is 1349963375039. The next prime is 1349963375041. The reversal of 1349963375040 is 405733699431.
1349963375040 is a `hidden beast` number, since 1 + 3 + 49 + 9 + 63 + 37 + 504 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1349963375039) and next prime (1349963375041).
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-2 number, since 2×13499633750402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1349963375041) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2735757 + ... + 3191283.
Almost surely, 21349963375040 is an apocalyptic number.
1349963375040 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 1349963375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776898688000).
1349963375040 is an abundant number, since it is smaller than the sum of its proper divisors (4203834000960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1349963375040 is an equidigital number, since it uses as much as digits as its factorization.
1349963375040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 455574 (or 455544 counting only the distinct ones).
The product of its (nonzero) digits is 7348320, while the sum is 54.
The spelling of 1349963375040 in words is "one trillion, three hundred forty-nine billion, nine hundred sixty-three million, three hundred seventy-five thousand, forty".
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