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4334414345001 = 321337046276453
BaseRepresentation
bin111111000100101111001…
…110100011001100101001
3120100100212210021120222200
4333010233032203030221
51032003340033020001
613115111422010413
7625102554020016
oct77045716431451
916310783246880
104334414345001
11142123a999704
125a0056716a09
1325596c7058a0
1410db02c9a70d
1577b34ab2086
hex3f12f3a3329

4334414345001 has 12 divisors (see below), whose sum is σ = 6742422314628. Its totient is φ = 2667331904544.

The previous prime is 4334414344979. The next prime is 4334414345003. The reversal of 4334414345001 is 1005434144334.

4334414345001 is a `hidden beast` number, since 4 + 3 + 3 + 4 + 4 + 143 + 4 + 500 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2258152371225 + 2076261973776 = 1502715^2 + 1440924^2 .

It is not a de Polignac number, because 4334414345001 - 25 = 4334414344969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4334414345003) 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, 18523138110 + ... + 18523138343.

It is an arithmetic number, because the mean of its divisors is an integer number (561868526219).

Almost surely, 24334414345001 is an apocalyptic number.

It is an amenable number.

4334414345001 is a deficient number, since it is larger than the sum of its proper divisors (2408007969627).

4334414345001 is a wasteful number, since it uses less digits than its factorization.

4334414345001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37046276472 (or 37046276469 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 4334414345001 its reverse (1005434144334), we get a palindrome (5339848489335).

The spelling of 4334414345001 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-five thousand, one".

Divisors: 1 3 9 13 39 117 37046276453 111138829359 333416488077 481601593889 1444804781667 4334414345001