Search a number
-
+
14042120424132 = 22329412234413313
BaseRepresentation
bin1100110001010110111110…
…0110011000101011000100
31211201102011111221012100010
43030111233212120223010
53320031230312033012
645510505553550220
72646336556141653
oct314255746305304
954642144835303
1014042120424132
1145242589a1769
1216a9559875370
137ab2213c5838
143678dc4c119a
15195403b33c3c
hexcc56f998ac4

14042120424132 has 96 divisors (see below), whose sum is σ = 34877184814080. Its totient is φ = 4389303582720.

The previous prime is 14042120424061. The next prime is 14042120424169. The reversal of 14042120424132 is 23142402124041.

14042120424132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140421204241322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14042120424132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975108 + ... + 5388420.

It is an arithmetic number, because the mean of its divisors is an integer number (363304008480).

Almost surely, 214042120424132 is an apocalyptic number.

14042120424132 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 14042120424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17438592407040).

14042120424132 is an abundant number, since it is smaller than the sum of its proper divisors (20835064389948).

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

14042120424132 is a wasteful number, since it uses less digits than its factorization.

14042120424132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413613 (or 4413611 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14042120424132 its reverse (23142402124041), we get a palindrome (37184522548173).

The spelling of 14042120424132 in words is "fourteen trillion, forty-two billion, one hundred twenty million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 223 246 348 446 492 669 892 1189 1338 2378 2676 3567 4756 6467 7134 9143 12934 14268 18286 19401 25868 27429 36572 38802 54858 77604 109716 265147 530294 795441 1060588 1590882 3181764 4413313 8826626 13239939 17653252 26479878 52959756 127986077 180945833 255972154 361891666 383958231 511944308 542837499 723783332 767916462 984168799 1085674998 1535832924 1968337598 2171349996 2952506397 3936675196 5247429157 5905012794 10494858314 11810025588 15742287471 20989716628 28540895171 31484574942 40350920759 57081790342 62969149884 80701841518 85622685513 114163580684 121052762277 161403683036 171245371026 242105524554 342490742052 484211049108 1170176702011 2340353404022 3510530106033 4680706808044 7021060212066 14042120424132