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413021334324 = 223791792519697
BaseRepresentation
bin1100000001010011111…
…11010110101100110100
31110111002011111200122110
412000221333112230310
523231331430144244
6513423412331020
741561024262564
oct6005177265464
91414064450573
10413021334324
1114a185859625
1268068013a70
132cc4226c8b1
1415dc16c2da4
15ab24b619b9
hex6029fd6b34

413021334324 has 96 divisors (see below), whose sum is σ = 985378867200. Its totient is φ = 134619264000.

The previous prime is 413021334317. The next prime is 413021334329. The reversal of 413021334324 is 423433120314.

It is a happy number.

413021334324 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 413021334291 and 413021334300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413021334329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42587844 + ... + 42597540.

It is an arithmetic number, because the mean of its divisors is an integer number (10264363200).

Almost surely, 2413021334324 is an apocalyptic number.

It is an amenable number.

413021334324 is an abundant number, since it is smaller than the sum of its proper divisors (572357532876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413021334324 is a wasteful number, since it uses less digits than its factorization.

413021334324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 413021334324 its reverse (423433120314), we get a palindrome (836454454638).

The spelling of 413021334324 in words is "four hundred thirteen billion, twenty-one million, three hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 79 158 179 237 251 316 358 474 502 537 716 753 948 1004 1074 1506 2148 3012 9697 14141 19394 19829 28282 29091 38788 39658 42423 44929 56564 58182 59487 79316 84846 89858 116364 118974 134787 169692 179716 237948 269574 539148 766063 1532126 1735763 2298189 2433947 3064252 3471526 3549391 4596378 4867894 5207289 6943052 7098782 7301841 9192756 9735788 10414578 10648173 14197564 14603682 20829156 21296346 29207364 42592692 137125277 192281813 274250554 384563626 411375831 435676513 548501108 576845439 769127252 822751662 871353026 1153690878 1307029539 1645503324 1742706052 2307381756 2614059078 5228118156 34418444527 68836889054 103255333581 137673778108 206510667162 413021334324