Base | Representation |
---|---|
bin | 100001000111000000… |
… | …110001011011000100 |
3 | 10101202121201011202110 |
4 | 201013000301123010 |
5 | 1040302041420030 |
6 | 24155411541020 |
7 | 2365663363221 |
oct | 410700613304 |
9 | 111677634673 |
10 | 35551123140 |
11 | 14093756005 |
12 | 6a81bba770 |
13 | 3477468450 |
14 | 1a137ac948 |
15 | dd11461b0 |
hex | 8470316c4 |
35551123140 has 96 divisors (see below), whose sum is σ = 107739475200. Its totient is φ = 8707032576.
The previous prime is 35551123103. The next prime is 35551123147. The reversal of 35551123140 is 4132115553.
It is a super-4 number, since 4×355511231404 (a number of 43 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 35551123098 and 35551123107.
It is not an unprimeable number, because it can be changed into a prime (35551123147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40702 + ... + 269738.
It is an arithmetic number, because the mean of its divisors is an integer number (1122286200).
Almost surely, 235551123140 is an apocalyptic number.
35551123140 is a gapful number since it is divisible by the number (30) 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 35551123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53869737600).
35551123140 is an abundant number, since it is smaller than the sum of its proper divisors (72188352060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35551123140 is a wasteful number, since it uses less digits than its factorization.
35551123140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 229261 (or 229259 counting only the distinct ones).
The product of its (nonzero) digits is 9000, while the sum is 30.
Adding to 35551123140 its reverse (4132115553), we get a palindrome (39683238693).
The spelling of 35551123140 in words is "thirty-five billion, five hundred fifty-one million, one hundred twenty-three thousand, one hundred forty".
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