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13241334414 = 23711257111521
BaseRepresentation
bin11000101010011111…
…01011101010001110
31021011210220111001010
430111033223222032
5204104240200124
610025531430050
7646063325340
oct142517535216
937153814033
1013241334414
11568542a590
1226965b5326
13133039c029
148d882b290
15527723529
hex3153eba8e

13241334414 has 64 divisors (see below), whose sum is σ = 33146122752. Its totient is φ = 3425894400.

The previous prime is 13241334413. The next prime is 13241334443. The reversal of 13241334414 is 41443314231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241334413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62974 + ... + 174494.

It is an arithmetic number, because the mean of its divisors is an integer number (517908168).

Almost surely, 213241334414 is an apocalyptic number.

13241334414 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 13241334414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573061376).

13241334414 is an abundant number, since it is smaller than the sum of its proper divisors (19904788338).

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

13241334414 is a wasteful number, since it uses less digits than its factorization.

13241334414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111801.

The product of its digits is 13824, while the sum is 30.

Adding to 13241334414 its reverse (41443314231), we get a palindrome (54684648645).

The spelling of 13241334414 in words is "thirteen billion, two hundred forty-one million, three hundred thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 257 462 514 771 1542 1799 2827 3598 5397 5654 8481 10794 16962 19789 39578 59367 111521 118734 223042 334563 669126 780647 1226731 1561294 2341941 2453462 3680193 4683882 7360386 8587117 17174234 25761351 28660897 51522702 57321794 85982691 171965382 200626279 315269867 401252558 601878837 630539734 945809601 1203757674 1891619202 2206889069 4413778138 6620667207 13241334414