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214471238401 = 726187781817
BaseRepresentation
bin1100011110111101111…
…0110110001100000001
3202111120212110202122001
43013233132312030001
512003214114112101
6242305434544001
721331540306300
oct3075736661401
9674525422561
10214471238401
1182a58471862
1235695b98001
13172bc452a34
14a547dc4437
1558a3b3d901
hex31ef7b6301

214471238401 has 24 divisors (see below), whose sum is σ = 253869144936. Its totient is φ = 180610456320.

The previous prime is 214471238369. The next prime is 214471238411. The reversal of 214471238401 is 104832174412.

It can be written as a sum of positive squares in 4 ways, for example, as 153165376 + 214318073025 = 12376^2 + 462945^2 .

It is not a de Polignac number, because 214471238401 - 25 = 214471238369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214471238411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580445 + ... + 2662261.

It is an arithmetic number, because the mean of its divisors is an integer number (10577881039).

Almost surely, 2214471238401 is an apocalyptic number.

It is an amenable number.

214471238401 is a deficient number, since it is larger than the sum of its proper divisors (39397906535).

214471238401 is an equidigital number, since it uses as much as digits as its factorization.

214471238401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82769 (or 82762 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 214471238401 in words is "two hundred fourteen billion, four hundred seventy-one million, two hundred thirty-eight thousand, four hundred one".

Divisors: 1 7 49 61 427 877 2989 6139 42973 53497 81817 374479 572719 2621353 4009033 4990837 34935859 71753509 244551013 502274563 3515921941 4376964049 30638748343 214471238401