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13412022414 = 2374331123879
BaseRepresentation
bin11000111110110101…
…10011100010001110
31021121201002022221220
430133122303202032
5204431434204124
610054510104210
7653235211110
oct143732634216
937551068856
1013412022414
115762811a4a
1227237ab066
13135986254b
1491337d3b0
155376dc879
hex31f6b388e

13412022414 has 64 divisors (see below), whose sum is σ = 31471165440. Its totient is φ = 3730698720.

The previous prime is 13412022391. The next prime is 13412022419. The reversal of 13412022414 is 41422021431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412022419) 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, 549727 + ... + 573605.

It is an arithmetic number, because the mean of its divisors is an integer number (491736960).

Almost surely, 213412022414 is an apocalyptic number.

13412022414 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 13412022414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735582720).

13412022414 is an abundant number, since it is smaller than the sum of its proper divisors (18059143026).

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

13412022414 is a wasteful number, since it uses less digits than its factorization.

13412022414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24245.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13412022414 its reverse (41422021431), we get a palindrome (54834043845).

The spelling of 13412022414 in words is "thirteen billion, four hundred twelve million, twenty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 311 602 622 903 933 1806 1866 2177 4354 6531 13062 13373 23879 26746 40119 47758 71637 80238 93611 143274 167153 187222 280833 334306 501459 561666 1002918 1026797 2053594 3080391 6160782 7187579 7426369 14375158 14852738 21562737 22279107 43125474 44558214 51984583 103969166 155953749 311907498 319333867 638667734 958001601 1916003202 2235337069 4470674138 6706011207 13412022414