| Base | Representation |
|---|---|
| bin | 10010011111000110101110… |
| … | …100101100001001111010000 |
| 3 | 101122212102121121101210022211 |
| 4 | 102133012232211201033100 |
| 5 | 41124024220421021130 |
| 6 | 444525442454441504 |
| 7 | 23060621253114316 |
| oct | 2237065645411720 |
| 9 | 348772547353284 |
| 10 | 81302365017040 |
| 11 | 239a615955a672 |
| 12 | 9150b39663294 |
| 13 | 3649a1ac1720b |
| 14 | 16110ac2940b6 |
| 15 | 95ecdb2c4a2a |
| hex | 49f1ae9613d0 |
81302365017040 has 80 divisors (see below), whose sum is σ = 191050179255936. Its totient is φ = 32173662528000.
The previous prime is 81302365016963. The next prime is 81302365017043. The reversal of 81302365017040 is 4071056320318.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×813023650170402 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 81302365016984 and 81302365017002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (81302365017043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3581115 + ... + 13244965.
Almost surely, 281302365017040 is an apocalyptic number.
81302365017040 is a gapful number since it is divisible by the number (80) 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 81302365017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95525089627968).
81302365017040 is an abundant number, since it is smaller than the sum of its proper divisors (109747814238896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81302365017040 is a wasteful number, since it uses less digits than its factorization.
81302365017040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9664988 (or 9664982 counting only the distinct ones).
The product of its (nonzero) digits is 120960, while the sum is 40.
The spelling of 81302365017040 in words is "eighty-one trillion, three hundred two billion, three hundred sixty-five million, seventeen thousand, forty".
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