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4000340014321 = 7281639592129
BaseRepresentation
bin111010001101100110110…
…110000111010011110001
3112011102120120111012220011
4322031212312013103301
51011020144020424241
612301421505414521
7562005104040400
oct72154666072361
915142516435804
104000340014321
111302597716442
1254736193a441
132302cc396741
14db89056b637
156e0d0c70281
hex3a366d874f1

4000340014321 has 6 divisors (see below), whose sum is σ = 4653456751410. Its totient is φ = 3428862869376.

The previous prime is 4000340014267. The next prime is 4000340014327. The reversal of 4000340014321 is 1234100430004.

It can be written as a sum of positive squares in only one way, i.e., 2082292290225 + 1918047724096 = 1443015^2 + 1384936^2 .

It is not a de Polignac number, because 4000340014321 - 213 = 4000340006129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4000340014292 and 4000340014301.

It is not an unprimeable number, because it can be changed into a prime (4000340014327) 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 5 ways as a sum of consecutive naturals, for example, 40819796016 + ... + 40819796113.

It is an arithmetic number, because the mean of its divisors is an integer number (775576125235).

Almost surely, 24000340014321 is an apocalyptic number.

It is an amenable number.

4000340014321 is a deficient number, since it is larger than the sum of its proper divisors (653116737089).

4000340014321 is an equidigital number, since it uses as much as digits as its factorization.

4000340014321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81639592143 (or 81639592136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4000340014321 its reverse (1234100430004), we get a palindrome (5234440444325).

The spelling of 4000340014321 in words is "four trillion, three hundred forty million, fourteen thousand, three hundred twenty-one".

Divisors: 1 7 49 81639592129 571477144903 4000340014321