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434310013041 = 31913158163923
BaseRepresentation
bin1100101000111101110…
…01001110000001110001
31112112000210220121202120
412110132321032001301
524103431330404131
6531304054504453
743243415125362
oct6243671160161
91475023817676
10434310013041
1115820a752a83
1270209665129
1331c5591a3c8
1417040bbdb69
15b46dad3496
hex651ee4e071

434310013041 has 16 divisors (see below), whose sum is σ = 614211037440. Its totient is φ = 272207154960.

The previous prime is 434310013037. The next prime is 434310013069. The reversal of 434310013041 is 140310013434.

It is not a de Polignac number, because 434310013041 - 22 = 434310013037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434310013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29074495 + ... + 29089428.

It is an arithmetic number, because the mean of its divisors is an integer number (38388189840).

Almost surely, 2434310013041 is an apocalyptic number.

It is an amenable number.

434310013041 is a deficient number, since it is larger than the sum of its proper divisors (179901024399).

434310013041 is a wasteful number, since it uses less digits than its factorization.

434310013041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58164076.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 434310013041 its reverse (140310013434), we get a palindrome (574620026475).

The spelling of 434310013041 in words is "four hundred thirty-four billion, three hundred ten million, thirteen thousand, forty-one".

Divisors: 1 3 19 57 131 393 2489 7467 58163923 174491769 1105114537 3315343611 7619473913 22858421739 144770004347 434310013041