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14341131312 = 243676836529
BaseRepresentation
bin11010101101100110…
…00100110000110000
31101000110100221202120
431112303010300300
5213332312200222
610331020114240
71015246414314
oct152663046060
941013327676
1014341131312
11609a216242
122942995980
1314771ab421
149a0915b44
1558e06915c
hex356cc4c30

14341131312 has 80 divisors (see below), whose sum is σ = 37661696640. Its totient is φ = 4701413376.

The previous prime is 14341131271. The next prime is 14341131341. The reversal of 14341131312 is 21313114341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2193264 + ... + 2199792.

It is an arithmetic number, because the mean of its divisors is an integer number (470771208).

Almost surely, 214341131312 is an apocalyptic number.

14341131312 is a gapful number since it is divisible by the number (12) 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 14341131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18830848320).

14341131312 is an abundant number, since it is smaller than the sum of its proper divisors (23320565328).

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

14341131312 is a wasteful number, since it uses less digits than its factorization.

14341131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7284 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 14341131312 its reverse (21313114341), we get a palindrome (35654245653).

The spelling of 14341131312 in words is "fourteen billion, three hundred forty-one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 683 804 1072 1366 1608 2049 2732 3216 4098 5464 6529 8196 10928 13058 16392 19587 26116 32784 39174 45761 52232 78348 91522 104464 137283 156696 183044 274566 313392 366088 437443 549132 732176 874886 1098264 1312329 1749772 2196528 2624658 3499544 4459307 5249316 6999088 8918614 10498632 13377921 17837228 20997264 26755842 35674456 53511684 71348912 107023368 214046736 298773569 597547138 896320707 1195094276 1792641414 2390188552 3585282828 4780377104 7170565656 14341131312