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14130015352112 = 2411109754197673
BaseRepresentation
bin1100110110011110011010…
…0010111011010100110000
31212000211001001202011112002
43031213212202323110300
53323001232412231422
650015123415153132
72655600644535212
oct315474642732460
955024031664462
1014130015352112
114558562330010
1217025a96757a8
137b65bb07246a
1436bc799b25b2
1519784a295692
hexcd9e68bb530

14130015352112 has 80 divisors (see below), whose sum is σ = 30144017043360. Its totient is φ = 6362901043200.

The previous prime is 14130015352109. The next prime is 14130015352153. The reversal of 14130015352112 is 21125351003141.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144617708 + ... + 144715380.

It is an arithmetic number, because the mean of its divisors is an integer number (376800213042).

Almost surely, 214130015352112 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 14130015352112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072008521680).

14130015352112 is an abundant number, since it is smaller than the sum of its proper divisors (16014001691248).

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

14130015352112 is a wasteful number, since it uses less digits than its factorization.

14130015352112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105342 (or 105336 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 14130015352112 its reverse (21125351003141), we get a palindrome (35255366355253).

The spelling of 14130015352112 in words is "fourteen trillion, one hundred thirty billion, fifteen million, three hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 4796 7541 9592 15082 19184 30164 60328 82951 97673 120656 165902 195346 331804 390692 663608 781384 821969 1074403 1327216 1562768 1643938 2148806 3287876 4297612 6575752 8595224 9041659 10646357 13151504 17190448 18083318 21292714 36166636 42585428 72333272 85170856 117109927 144666544 170341712 234219854 468439708 736552093 936879416 1473104186 1873758832 2946208372 5892416744 8102073023 11784833488 16204146046 32408292092 64816584184 80284178137 129633168368 160568356274 321136712548 642273425096 883125959507 1284546850192 1766251919014 3532503838028 7065007676056 14130015352112