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311729725441 = 1721078649569
BaseRepresentation
bin1001000100101001000…
…10100010000000000001
31002210121222110211002201
410202110202202000001
520101410302203231
6355112345513201
731343644642531
oct4422442420001
91083558424081
10311729725441
11110227337672
12504b97a2801
132351bca2654
1411132cc74c1
158197343161
hex48948a2001

311729725441 has 6 divisors (see below), whose sum is σ = 331145417990. Its totient is φ = 293392682496.

The previous prime is 311729725427. The next prime is 311729725451. The reversal of 311729725441 is 144527927113.

It can be written as a sum of positive squares in 3 ways, for example, as 216076225600 + 95653499841 = 464840^2 + 309279^2 .

It is not a de Polignac number, because 311729725441 - 27 = 311729725313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311729725391 and 311729725400.

It is not an unprimeable number, because it can be changed into a prime (311729725451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 539324496 + ... + 539325073.

Almost surely, 2311729725441 is an apocalyptic number.

It is an amenable number.

311729725441 is a deficient number, since it is larger than the sum of its proper divisors (19415692549).

311729725441 is a wasteful number, since it uses less digits than its factorization.

311729725441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078649603 (or 1078649586 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The spelling of 311729725441 in words is "three hundred eleven billion, seven hundred twenty-nine million, seven hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 17 289 1078649569 18337042673 311729725441