| Base | Representation |
|---|---|
| bin | 1001011000011000001011… |
| … | …0011100110100100100000 |
| 3 | 1100112001022001002010021200 |
| 4 | 2112012002303212210200 |
| 5 | 2322442403211334404 |
| 6 | 33534213000521200 |
| 7 | 2113122502202610 |
| oct | 226060263464440 |
| 9 | 40461261063250 |
| 10 | 10314411043104 |
| 11 | 33173541572a3 |
| 12 | 11a7003480200 |
| 13 | 59a84c7a2b6c |
| 14 | 279312184a40 |
| 15 | 12d47c87a839 |
| hex | 96182ce6920 |
10314411043104 has 288 divisors, whose sum is σ = 35038387448064. Its totient is φ = 2814084218880.
The previous prime is 10314411043099. The next prime is 10314411043117. The reversal of 10314411043104 is 40134011441301.
10314411043104 is a `hidden beast` number, since 10 + 3 + 1 + 441 + 104 + 3 + 104 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×103144110431042 (a number of 27 digits) contains 22 as substring.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 27308664 + ... + 27683784.
It is an arithmetic number, because the mean of its divisors is an integer number (121661067528).
Almost surely, 210314411043104 is an apocalyptic number.
10314411043104 is a gapful number since it is divisible by the number (14) 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 10314411043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519193724032).
10314411043104 is an abundant number, since it is smaller than the sum of its proper divisors (24723976404960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10314411043104 is a wasteful number, since it uses less digits than its factorization.
10314411043104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 375760 (or 375749 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
Adding to 10314411043104 its reverse (40134011441301), we get a palindrome (50448422484405).
The spelling of 10314411043104 in words is "ten trillion, three hundred fourteen billion, four hundred eleven million, forty-three thousand, one hundred four".
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