Search a number
-
+
13426003444 = 22729103229701
BaseRepresentation
bin11001000000100000…
…01000110111110100
31021122200101122022211
430200100020313310
5204444024102234
610100125503204
7653465101120
oct144020106764
937580348284
1013426003444
11576a6a1117
122728411b04
13135c719149
1491517c580
15538a50164
hex320408df4

13426003444 has 96 divisors (see below), whose sum is σ = 28210291200. Its totient is φ = 5469811200.

The previous prime is 13426003399. The next prime is 13426003457. The reversal of 13426003444 is 44430062431.

It is a super-2 number, since 2×134260034442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19152294 + ... + 19152994.

It is an arithmetic number, because the mean of its divisors is an integer number (293857200).

Almost surely, 213426003444 is an apocalyptic number.

13426003444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13426003444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14105145600).

13426003444 is an abundant number, since it is smaller than the sum of its proper divisors (14784287756).

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

13426003444 is a wasteful number, since it uses less digits than its factorization.

13426003444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 13426003444 its reverse (44430062431), we get a palindrome (57856065875).

The spelling of 13426003444 in words is "thirteen billion, four hundred twenty-six million, three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 103 116 203 206 229 406 412 458 701 721 812 916 1402 1442 1603 2804 2884 2987 3206 4907 5974 6412 6641 9814 11948 13282 19628 20329 20909 23587 26564 40658 41818 46487 47174 72203 81316 83636 92974 94348 142303 144406 160529 165109 185948 284606 288812 321058 330218 505421 569212 642116 660436 684023 1010842 1123703 1368046 2021684 2093887 2247406 2736092 4187774 4494812 4655341 4788161 8375548 9310682 9576322 14657209 16534487 18621364 19152644 29314418 32587387 33068974 58628836 65174774 66137948 115741409 130349548 231482818 462965636 479500123 959000246 1918000492 3356500861 6713001722 13426003444