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13431213042 = 23134153109727
BaseRepresentation
bin11001000001001000…
…00000101111110010
31021200001012022112220
430200210000233302
5210001342304132
610100433301510
7653560266342
oct144044005762
937601168486
1013431213042
11577262a175
12272a104896
131360821450
14915b36d22
1553922da2c
hex320900bf2

13431213042 has 128 divisors (see below), whose sum is σ = 30512401920. Its totient is φ = 3914127360.

The previous prime is 13431213023. The next prime is 13431213043. The reversal of 13431213042 is 24031213431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13431213043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18474483 + ... + 18475209.

It is an arithmetic number, because the mean of its divisors is an integer number (238378140).

Almost surely, 213431213042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431213042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15256200960).

13431213042 is an abundant number, since it is smaller than the sum of its proper divisors (17081188878).

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

13431213042 is a wasteful number, since it uses less digits than its factorization.

13431213042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13431213042 its reverse (24031213431), we get a palindrome (37462426473).

The spelling of 13431213042 in words is "thirteen billion, four hundred thirty-one million, two hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 41 53 78 82 106 109 123 159 218 246 318 327 533 654 689 727 1066 1378 1417 1454 1599 2067 2173 2181 2834 3198 4134 4251 4346 4362 4469 5777 6519 8502 8938 9451 11554 13038 13407 17331 18902 26814 28249 28353 29807 34662 38531 56498 56706 58097 59614 75101 77062 79243 84747 89421 115593 116194 150202 158486 169494 174291 178842 225303 231186 236857 237729 348582 387491 450606 473714 475458 500903 710571 774982 1001806 1030159 1162473 1421142 1502709 1579771 2060318 2324946 3005418 3079141 3090477 3159542 3248963 4199879 4739313 6158282 6180954 6497926 8399758 9237423 9478626 9746889 12599637 18474846 19493778 20537023 25199274 41074046 42236519 54598427 61611069 84473038 109196854 123222138 126709557 163795281 172195039 253419114 327590562 344390078 516585117 1033170234 2238535507 4477071014 6715606521 13431213042