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13323087414 = 23371326910079
BaseRepresentation
bin11000110100001111…
…00010111000110110
31021101111201222002000
430122013202320312
5204241202244124
610042012000130
7651105242310
oct143207427066
937344658060
1013323087414
11571759884a
1226b9a60046
1313442c42a0
1490562c7b0
1552e9c16c9
hex31a1e2e36

13323087414 has 128 divisors (see below), whose sum is σ = 36578304000. Its totient is φ = 3500371584.

The previous prime is 13323087373. The next prime is 13323087467. The reversal of 13323087414 is 41478032331.

13323087414 is a `hidden beast` number, since 1 + 3 + 3 + 230 + 8 + 7 + 414 = 666.

13323087414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316827 + ... + 1326905.

It is an arithmetic number, because the mean of its divisors is an integer number (285768000).

Almost surely, 213323087414 is an apocalyptic number.

13323087414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323087414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152000).

13323087414 is an abundant number, since it is smaller than the sum of its proper divisors (23255216586).

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

13323087414 is a wasteful number, since it uses less digits than its factorization.

13323087414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13323087414 in words is "thirteen billion, three hundred twenty-three million, eighty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 269 273 351 378 538 546 702 807 819 1614 1638 1883 2421 2457 3497 3766 4842 4914 5649 6994 7263 10079 10491 11298 14526 16947 20158 20982 24479 30237 31473 33894 48958 50841 60474 62946 70553 73437 90711 94419 101682 131027 141106 146874 181422 188838 211659 220311 262054 272133 393081 423318 440622 544266 634977 660933 786162 917189 1179243 1269954 1321866 1834378 1904931 2358486 2711251 2751567 3537729 3809862 5422502 5503134 7075458 8133753 8254701 16267506 16509402 18978757 24401259 24764103 35246263 37957514 48802518 49528206 56936271 70492526 73203777 105738789 113872542 146407554 170808813 211477578 246723841 317216367 341617626 493447682 512426439 634432734 740171523 951649101 1024852878 1480343046 1903298202 2220514569 4441029138 6661543707 13323087414