| Base | Representation |
|---|---|
| bin | 100111100100001000011010… |
| … | …1110100110110000000100000 |
| 3 | 1200122012202201002112212211120 |
| 4 | 1033020100311310312000200 |
| 5 | 331103323133323333230 |
| 6 | 3232055111213212240 |
| 7 | 133206101165210040 |
| oct | 11710206564660040 |
| 9 | 1618182632485746 |
| 10 | 348013513105440 |
| 11 | a098477a4aa966 |
| 12 | 33047425491080 |
| 13 | 11c256c20586c0 |
| 14 | 61d1d30123720 |
| 15 | 2a3796b9e9310 |
| hex | 13c8435d36020 |
348013513105440 has 3072 divisors, whose sum is σ = 1512563917455360. Its totient is φ = 65208874106880.
The previous prime is 348013513105417. The next prime is 348013513105441. The reversal of 348013513105440 is 44501315310843.
It is a happy number.
It is a super-2 number, since 2×3480135131054402 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 348013513105392 and 348013513105401.
It is not an unprimeable number, because it can be changed into a prime (348013513105441) by changing a digit.
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 511 ways as a sum of consecutive naturals, for example, 140497985482 + ... + 140497987958.
It is an arithmetic number, because the mean of its divisors is an integer number (492371066880).
Almost surely, 2348013513105440 is an apocalyptic number.
348013513105440 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 348013513105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756281958727680).
348013513105440 is an abundant number, since it is smaller than the sum of its proper divisors (1164550404349920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348013513105440 is a wasteful number, since it uses less digits than its factorization.
348013513105440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2735 (or 2727 counting only the distinct ones).
The product of its (nonzero) digits is 345600, while the sum is 42.
The spelling of 348013513105440 in words is "three hundred forty-eight trillion, thirteen billion, five hundred thirteen million, one hundred five thousand, four hundred forty".
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