Search a number
-
+
14326361424 = 24326111811381
BaseRepresentation
bin11010101011110101…
…01110110101010000
31100222102120120021200
431111322232311100
5213320022031144
610325331351200
71015010030364
oct152572566520
940872516250
1014326361424
116091948421
122939a52500
13147410974b
1499c98d2a4
1558caecc69
hex355eaed50

14326361424 has 120 divisors (see below), whose sum is σ = 40815230664. Its totient is φ = 4689792000.

The previous prime is 14326361419. The next prime is 14326361443. The reversal of 14326361424 is 42416362341.

14326361424 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 636 + 14 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1371369024 + 12954992400 = 37032^2 + 113820^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10373214 + ... + 10374594.

Almost surely, 214326361424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14326361424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407615332).

14326361424 is an abundant number, since it is smaller than the sum of its proper divisors (26488869240).

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

14326361424 is a wasteful number, since it uses less digits than its factorization.

14326361424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2628 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 14326361424 in words is "fourteen billion, three hundred twenty-six million, three hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1181 1381 1464 2196 2362 2762 2928 3543 4143 4392 4724 5524 7086 8286 8784 9448 10629 11048 12429 14172 16572 18896 21258 22096 24858 28344 33144 42516 49716 56688 66288 72041 84241 85032 99432 144082 168482 170064 198864 216123 252723 288164 336964 432246 505446 576328 648369 673928 758169 864492 1010892 1152656 1296738 1347856 1516338 1630961 1728984 2021784 2593476 3032676 3261922 3457968 4043568 4892883 5186952 6065352 6523844 9785766 10373904 12130704 13047688 14678649 19571532 26095376 29357298 39143064 58714596 78286128 99488621 117429192 198977242 234858384 298465863 397954484 596931726 795908968 895397589 1193863452 1591817936 1790795178 2387726904 3581590356 4775453808 7163180712 14326361424