Base | Representation |
---|---|
bin | 111001010001110100… |
… | …0010010101111110000 |
3 | 102202111101100112122112 |
4 | 1302203220102233300 |
5 | 4003403102124130 |
6 | 132301333424452 |
7 | 11613106402601 |
oct | 1624350225760 |
9 | 382441315575 |
10 | 123004333040 |
11 | 48190814a96 |
12 | 1ba09a9b128 |
13 | b7a3757c24 |
14 | 5d4c359da8 |
15 | 32edb03495 |
hex | 1ca3a12bf0 |
123004333040 has 80 divisors (see below), whose sum is σ = 299482456896. Its totient is φ = 46894848000.
The previous prime is 123004333031. The next prime is 123004333057. The reversal of 123004333040 is 40333400321.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-3 number, since 3×1230043330403 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a junction number, because it is equal to n+sod(n) for n = 123004332997 and 123004333015.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398090 + ... + 635990.
Almost surely, 2123004333040 is an apocalyptic number.
123004333040 is a gapful number since it is divisible by the number (10) 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 123004333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149741228448).
123004333040 is an abundant number, since it is smaller than the sum of its proper divisors (176478123856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123004333040 is a wasteful number, since it uses less digits than its factorization.
123004333040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 238218 (or 238212 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 23.
Adding to 123004333040 its reverse (40333400321), we get a palindrome (163337733361).
The spelling of 123004333040 in words is "one hundred twenty-three billion, four million, three hundred thirty-three thousand, forty".
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