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4140204035301 = 323171451175617
BaseRepresentation
bin111100001111110111011…
…001000000110011100101
3112122210120221022122111100
4330033313121000303211
51020313114213112201
612445552233030313
7605056054434405
oct74176731006345
915583527278440
104140204035301
11135693a274524
1256a495b55399
1324055ba28679
1410455bac0805
1572a69a81886
hex3c3f7640ce5

4140204035301 has 12 divisors (see below), whose sum is σ = 5999160004812. Its totient is φ = 2751428967936.

The previous prime is 4140204035267. The next prime is 4140204035329. The reversal of 4140204035301 is 1035304020414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 317588602500 + 3822615432801 = 563550^2 + 1955151^2 .

It is not a de Polignac number, because 4140204035301 - 29 = 4140204034789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140204035381) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 725584956 + ... + 725590661.

It is an arithmetic number, because the mean of its divisors is an integer number (499930000401).

Almost surely, 24140204035301 is an apocalyptic number.

It is an amenable number.

4140204035301 is a deficient number, since it is larger than the sum of its proper divisors (1858955969511).

4140204035301 is a wasteful number, since it uses less digits than its factorization.

4140204035301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451175940 (or 1451175937 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 4140204035301 its reverse (1035304020414), we get a palindrome (5175508055715).

The spelling of 4140204035301 in words is "four trillion, one hundred forty billion, two hundred four million, thirty-five thousand, three hundred one".

Divisors: 1 3 9 317 951 2853 1451175617 4353526851 13060580553 460022670589 1380068011767 4140204035301