Base | Representation |
---|---|
bin | 111100001001010001111… |
… | …001110111000111111000 |
3 | 112122010100010021121220100 |
4 | 330021101321313013320 |
5 | 1020204123430124430 |
6 | 12442422424555400 |
7 | 604415610646452 |
oct | 74112171670770 |
9 | 15563303247810 |
10 | 4133132661240 |
11 | 1353940700530 |
12 | 569041922b60 |
13 | 23c9a29c266b |
14 | 10408a8a52d2 |
15 | 727a3d69960 |
hex | 3c251e771f8 |
4133132661240 has 768 divisors, whose sum is σ = 15947211571200. Its totient is φ = 917200972800.
The previous prime is 4133132661199. The next prime is 4133132661253. The reversal of 4133132661240 is 421662313314.
4133132661240 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 1 + 32 + 6 + 612 + 4 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4133132661195 and 4133132661204.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2479382887 + ... + 2479384553.
It is an arithmetic number, because the mean of its divisors is an integer number (20764598400).
Almost surely, 24133132661240 is an apocalyptic number.
4133132661240 is a gapful number since it is divisible by the number (40) 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 4133132661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973605785600).
4133132661240 is an abundant number, since it is smaller than the sum of its proper divisors (11814078909960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4133132661240 is a wasteful number, since it uses less digits than its factorization.
4133132661240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2808 (or 2801 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
Adding to 4133132661240 its reverse (421662313314), we get a palindrome (4554794974554).
The spelling of 4133132661240 in words is "four trillion, one hundred thirty-three billion, one hundred thirty-two million, six hundred sixty-one thousand, two hundred forty".
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