| Base | Representation |
|---|---|
| bin | 10010110010000100010000… |
| … | …00100010111100011010100 |
| 3 | 12102020111110100220112200200 |
| 4 | 21121002020010113203110 |
| 5 | 20403200401210133011 |
| 6 | 223502105412540500 |
| 7 | 11462010056331300 |
| oct | 1131021004274324 |
| 9 | 172214410815620 |
| 10 | 41302688364756 |
| 11 | 1218440a906515 |
| 12 | 47708a2921730 |
| 13 | 1a07a99633680 |
| 14 | a2b0bcb08d00 |
| 15 | 4b959eb79856 |
| hex | 2590881178d4 |
41302688364756 has 432 divisors, whose sum is σ = 132935382216000. Its totient is φ = 10715284952064.
The previous prime is 41302688364689. The next prime is 41302688364757. The reversal of 41302688364756 is 65746388620314.
It is a happy number.
41302688364756 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 268 + 8 + 364 + 7 + 5 + 6 = 666.
It is a super-3 number, since 3×413026883647563 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 41302688364693 and 41302688364702.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41302688364757) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 634427095 + ... + 634492193.
Almost surely, 241302688364756 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 41302688364756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66467691108000).
41302688364756 is an abundant number, since it is smaller than the sum of its proper divisors (91632693851244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41302688364756 is a wasteful number, since it uses less digits than its factorization.
41302688364756 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65588 (or 65576 counting only the distinct ones).
The product of its (nonzero) digits is 139345920, while the sum is 63.
The spelling of 41302688364756 in words is "forty-one trillion, three hundred two billion, six hundred eighty-eight million, three hundred sixty-four thousand, seven hundred fifty-six".
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