| Base | Representation |
|---|---|
| bin | 101111101100111110… |
| … | …1110000111111100000 |
| 3 | 100210102021222211020200 |
| 4 | 1133121331300333200 |
| 5 | 3134244410021021 |
| 6 | 115021044105200 |
| 7 | 10254404640642 |
| oct | 1373175607740 |
| 9 | 323367884220 |
| 10 | 102441095136 |
| 11 | 3a499366aa6 |
| 12 | 17a2b395200 |
| 13 | 9877486533 |
| 14 | 4d5b33a892 |
| 15 | 29e86cc126 |
| hex | 17d9f70fe0 |
102441095136 has 144 divisors (see below), whose sum is σ = 308049775488. Its totient is φ = 32239411200.
The previous prime is 102441095089. The next prime is 102441095137. The reversal of 102441095136 is 631590144201.
It is a happy number.
102441095136 is a `hidden beast` number, since 1 + 0 + 24 + 410 + 95 + 136 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 102441095136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102441095137) 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 23 ways as a sum of consecutive naturals, for example, 226120 + ... + 505976.
It is an arithmetic number, because the mean of its divisors is an integer number (2139234552).
Almost surely, 2102441095136 is an apocalyptic number.
102441095136 is a gapful number since it is divisible by the number (16) 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 102441095136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154024887744).
102441095136 is an abundant number, since it is smaller than the sum of its proper divisors (205608680352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102441095136 is a wasteful number, since it uses less digits than its factorization.
102441095136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279945 (or 279934 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The spelling of 102441095136 in words is "one hundred two billion, four hundred forty-one million, ninety-five thousand, one hundred thirty-six".
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