Base | Representation |
---|---|
bin | 11110010000111000000000… |
… | …010010110001010100000000 |
3 | 122110021100001102112201002200 |
4 | 132100320000102301110000 |
5 | 114421211413101023431 |
6 | 1151025435125513200 |
7 | 40015142612662530 |
oct | 3620700022612400 |
9 | 573240042481080 |
10 | 133101041423616 |
11 | 3945691aa45a82 |
12 | 12b17a59572800 |
13 | 59364b35a64c6 |
14 | 24c21a65674c0 |
15 | 105c3e468bee6 |
hex | 790e004b1500 |
133101041423616 has 432 divisors, whose sum is σ = 462712529610240. Its totient is φ = 35945987051520.
The previous prime is 133101041423599. The next prime is 133101041423627. The reversal of 133101041423616 is 616324140101331.
133101041423616 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 1 + 0 + 4 + 14 + 23 + 616 = 666.
It is a super-4 number, since 4×1331010414236164 (a number of 58 digits) contains 4444 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 (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135259131 + ... + 136239621.
Almost surely, 2133101041423616 is an apocalyptic number.
133101041423616 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 133101041423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231356264805120).
133101041423616 is an abundant number, since it is smaller than the sum of its proper divisors (329611488186624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133101041423616 is a wasteful number, since it uses less digits than its factorization.
133101041423616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 980982 (or 980965 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
Adding to 133101041423616 its reverse (616324140101331), we get a palindrome (749425181524947).
The spelling of 133101041423616 in words is "one hundred thirty-three trillion, one hundred one billion, forty-one million, four hundred twenty-three thousand, six hundred sixteen".
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