Search a number
-
+
13420134343422 = 232371013145113709
BaseRepresentation
bin1100001101001001111001…
…0101110010001011111110
31202111221201020101112001100
43003102132111302023332
53224333413342442142
644313042525353530
72553400303530162
oct303223625621376
952457636345040
1013420134343422
1143044a0a7a334
121608ab3a088a6
1376468977ab21
14345776280ca2
1518414d9d6b4c
hexc349e5722fe

13420134343422 has 96 divisors (see below), whose sum is σ = 29915084216160. Its totient is φ = 4344865747200.

The previous prime is 13420134343393. The next prime is 13420134343487. The reversal of 13420134343422 is 22434343102431.

13420134343422 is a `hidden beast` number, since 1 + 34 + 201 + 343 + 43 + 42 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978921904 + ... + 978935612.

It is an arithmetic number, because the mean of its divisors is an integer number (311615460585).

Almost surely, 213420134343422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420134343422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957542108080).

13420134343422 is an abundant number, since it is smaller than the sum of its proper divisors (16494949872738).

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

13420134343422 is a wasteful number, since it uses less digits than its factorization.

13420134343422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16218 (or 16215 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13420134343422 its reverse (22434343102431), we get a palindrome (35854477445853).

The spelling of 13420134343422 in words is "thirteen trillion, four hundred twenty billion, one hundred thirty-four million, three hundred forty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1013 1451 2026 2902 3039 4353 6078 8706 9117 13059 13709 18234 26118 27418 37481 41127 53687 74962 82254 107374 112443 123381 161061 224886 246762 322122 337329 483183 507233 674658 966366 1014466 1469863 1521699 2939726 3043398 4409589 4565097 8819178 9130194 13228767 13887217 19891759 26457534 27774434 39783518 41661651 54384931 59675277 83323302 108769862 119350554 124984953 163154793 179025831 249969906 326309586 358051662 489464379 513827029 735995083 978928758 1027654058 1471990166 1541481087 2207985249 3082962174 4415970498 4624443261 6623955747 9248886522 13247911494 20150351867 40300703734 60451055601 120902111202 181353166803 362706333606 745563019079 1491126038158 2236689057237 4473378114474 6710067171711 13420134343422