| Base | Representation |
|---|---|
| bin | 1101111111100100011001… |
| … | …11111010010101000000000 |
| 3 | 11000221201122111221221112000 |
| 4 | 12333302030333102220000 |
| 5 | 13013130023321011034 |
| 6 | 145240123111504000 |
| 7 | 6324111505542300 |
| oct | 677621477225000 |
| 9 | 130851574857460 |
| 10 | 30771511110144 |
| 11 | 98941408a0182 |
| 12 | 354b884988000 |
| 13 | 1422983105a3c |
| 14 | 7854c5c5d600 |
| 15 | 385686e83599 |
| hex | 1bfc8cfd2a00 |
30771511110144 has 1920 divisors, whose sum is σ = 115496756305920. Its totient is φ = 8034351316992.
The previous prime is 30771511110077. The next prime is 30771511110173. The reversal of 30771511110144 is 44101111517703.
30771511110144 is a `hidden beast` number, since 30 + 7 + 7 + 1 + 511 + 1 + 101 + 4 + 4 = 666.
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 = 30771511110099 and 30771511110108.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 77510103354 + ... + 77510103750.
It is an arithmetic number, because the mean of its divisors is an integer number (60154560576).
Almost surely, 230771511110144 is an apocalyptic number.
30771511110144 is a gapful number since it is divisible by the number (34) 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 30771511110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57748378152960).
30771511110144 is an abundant number, since it is smaller than the sum of its proper divisors (84725245195776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30771511110144 is a wasteful number, since it uses less digits than its factorization.
30771511110144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 635 (or 606 counting only the distinct ones).
The product of its (nonzero) digits is 11760, while the sum is 36.
Adding to 30771511110144 its reverse (44101111517703), we get a palindrome (74872622627847).
The spelling of 30771511110144 in words is "thirty trillion, seven hundred seventy-one billion, five hundred eleven million, one hundred ten thousand, one hundred forty-four".
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