| Base | Representation |
|---|---|
| bin | 1001110000011001001100… |
| … | …0101110011001111000000 |
| 3 | 1101222111021011002010110200 |
| 4 | 2130012103011303033000 |
| 5 | 2401222344241000230 |
| 6 | 34451525525525200 |
| 7 | 2155000041664440 |
| oct | 234062305631700 |
| 9 | 41874234063420 |
| 10 | 10727001109440 |
| 11 | 34663285238a0 |
| 12 | 1252b6ab73800 |
| 13 | 5ca7235a3ca5 |
| 14 | 291292484120 |
| 15 | 1390796ee160 |
| hex | 9c1931733c0 |
10727001109440 has 1344 divisors, whose sum is σ = 49548740567040. Its totient is φ = 2062528634880.
The previous prime is 10727001109439. The next prime is 10727001109537. The reversal of 10727001109440 is 4490110072701.
10727001109440 is a `hidden beast` number, since 107 + 2 + 7 + 0 + 0 + 1 + 109 + 440 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×107270011094402 (a number of 27 digits) contains 22 as substring.
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 = 10727001109395 and 10727001109404.
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 191 ways as a sum of consecutive naturals, for example, 181148317 + ... + 181207523.
Almost surely, 210727001109440 is an apocalyptic number.
10727001109440 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 10727001109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24774370283520).
10727001109440 is an abundant number, since it is smaller than the sum of its proper divisors (38821739457600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10727001109440 is a wasteful number, since it uses less digits than its factorization.
10727001109440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59310 (or 59297 counting only the distinct ones).
The product of its (nonzero) digits is 14112, while the sum is 36.
The spelling of 10727001109440 in words is "ten trillion, seven hundred twenty-seven billion, one million, one hundred nine thousand, four hundred forty".
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