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413202331134 = 23329436136243
BaseRepresentation
bin1100000001101001100…
…01110011010111111110
31110111112210002021121000
412000310301303113332
523232214244044014
6513453355551130
741565352602225
oct6006461632776
91414483067530
10413202331134
1114a268a4216a
12680b875b4a6
132cc709023b8
1415ddb759cbc
15ab359b5509
hex6034c735fe

413202331134 has 64 divisors (see below), whose sum is σ = 971981049600. Its totient is φ = 129891970656.

The previous prime is 413202331093. The next prime is 413202331141. The reversal of 413202331134 is 431133202314.

It is a happy number.

413202331134 is a `hidden beast` number, since 4 + 1 + 320 + 2 + 331 + 1 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 413202331098 and 413202331107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3000784 + ... + 3135459.

It is an arithmetic number, because the mean of its divisors is an integer number (15187203900).

Almost surely, 2413202331134 is an apocalyptic number.

413202331134 is an abundant number, since it is smaller than the sum of its proper divisors (558778718466).

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

413202331134 is a wasteful number, since it uses less digits than its factorization.

413202331134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136326 (or 6136320 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 413202331134 its reverse (431133202314), we get a palindrome (844335533448).

The spelling of 413202331134 in words is "four hundred thirteen billion, two hundred two million, three hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 43 54 58 86 87 129 174 258 261 387 522 774 783 1161 1247 1566 2322 2494 3741 7482 11223 22446 33669 67338 6136243 12272486 18408729 36817458 55226187 110452374 165678561 177951047 263858449 331357122 355902094 527716898 533853141 791575347 1067706282 1583150694 1601559423 2374726041 3203118846 4749452082 4804678269 7124178123 7651895021 9609356538 14248356246 15303790042 22955685063 45911370126 68867055189 137734110378 206601165567 413202331134