Base | Representation |
---|---|
bin | 1110000100010101010… |
… | …1000101111111100000 |
3 | 212002211012001102202000 |
4 | 3201011111011333200 |
5 | 12424430404413143 |
6 | 303005445324000 |
7 | 23314042243011 |
oct | 3410525057740 |
9 | 762735042660 |
10 | 241681326048 |
11 | 935508983a8 |
12 | 3aa0a706600 |
13 | 19a37810306 |
14 | b9a9ab3008 |
15 | 6447871bd3 |
hex | 3845545fe0 |
241681326048 has 384 divisors, whose sum is σ = 773144064000. Its totient is φ = 73164072960.
The previous prime is 241681325957. The next prime is 241681326053. The reversal of 241681326048 is 840623186142.
241681326048 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 8 + 1 + 32 + 604 + 8 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 241681325994 and 241681326012.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55467486 + ... + 55471842.
It is an arithmetic number, because the mean of its divisors is an integer number (2013396000).
Almost surely, 2241681326048 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 241681326048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386572032000).
241681326048 is an abundant number, since it is smaller than the sum of its proper divisors (531462737952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241681326048 is a wasteful number, since it uses less digits than its factorization.
241681326048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4535 (or 4521 counting only the distinct ones).
The product of its (nonzero) digits is 442368, while the sum is 45.
The spelling of 241681326048 in words is "two hundred forty-one billion, six hundred eighty-one million, three hundred twenty-six thousand, forty-eight".
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