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814941413 = 112134773151
BaseRepresentation
bin110000100100110…
…000010011100101
32002210110022110022
4300210300103211
53132111111123
6212511004525
726123613326
oct6044602345
92083408408
10814941413
11389016600
121a8b09745
13ccab4970
147a33844d
154b8291c8
hex309304e5

814941413 has 48 divisors (see below), whose sum is σ = 1005301248. Its totient is φ = 655776000.

The previous prime is 814941401. The next prime is 814941431. The reversal of 814941413 is 314149418.

It is not a de Polignac number, because 814941413 - 24 = 814941397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814941433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5396888 + ... + 5397038.

It is an arithmetic number, because the mean of its divisors is an integer number (20943776).

Almost surely, 2814941413 is an apocalyptic number.

It is an amenable number.

814941413 is a deficient number, since it is larger than the sum of its proper divisors (190359835).

814941413 is a wasteful number, since it uses less digits than its factorization.

814941413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 814941413 is about 28547.1787222485. The cubic root of 814941413 is about 934.0614804081.

It can be divided in two parts, 81 and 4941413, that added together give a palindrome (4941494).

The spelling of 814941413 in words is "eight hundred fourteen million, nine hundred forty-one thousand, four hundred thirteen".

Divisors: 1 11 13 47 73 121 143 151 517 611 803 949 1573 1661 1963 3431 5687 6721 7097 8833 10439 11023 18271 21593 37741 44603 73931 78067 92261 114829 121253 143299 237523 415151 490633 518081 858737 1014871 1333783 1576289 5396963 5698891 6735053 11163581 17339179 62687801 74085583 814941413