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248314429431 = 3217295468831
BaseRepresentation
bin1110011101000010110…
…0010111111111110111
3212201221110101222222200
43213100230113333313
513032021443220211
6310023555555543
723640314552565
oct3472054277767
9781843358880
10248314429431
1196345027122
124015bbbbbb3
131a553ac5363
14c038a04a35
1566d4d65b56
hex39d0b17ff7

248314429431 has 18 divisors (see below), whose sum is σ = 381016108512. Its totient is φ = 155805130560.

The previous prime is 248314429381. The next prime is 248314429453. The reversal of 248314429431 is 134924413842.

248314429431 is a `hidden beast` number, since 2 + 48 + 314 + 4 + 294 + 3 + 1 = 666.

It is not a de Polignac number, because 248314429431 - 214 = 248314413047 is a prime.

It is a super-2 number, since 2×2483144294312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248314429331) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47731815 + ... + 47737016.

It is an arithmetic number, because the mean of its divisors is an integer number (21167561584).

Almost surely, 2248314429431 is an apocalyptic number.

248314429431 is a deficient number, since it is larger than the sum of its proper divisors (132701679081).

248314429431 is a wasteful number, since it uses less digits than its factorization.

248314429431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95468871 (or 95468851 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 248314429431 in words is "two hundred forty-eight billion, three hundred fourteen million, four hundred twenty-nine thousand, four hundred thirty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 95468831 286406493 859219479 1622970127 4868910381 14606731143 27590492159 82771476477 248314429431