Search a number
-
+
14224434131040 = 253574233462539
BaseRepresentation
bin1100111011111110001001…
…0101111111000001100000
31212100211202021100002210020
43032333202111333001200
53331023120114143130
650130340445233440
72665452511112160
oct316774225770140
955324667302706
1014224434131040
114594604267111
12171895a262880
137c24874a1113
143726756b65a0
1519a024519e10
hexcefe257f060

14224434131040 has 96 divisors (see below), whose sum is σ = 51207962883840. Its totient is φ = 3251299229184.

The previous prime is 14224434130967. The next prime is 14224434131081. The reversal of 14224434131040 is 4013143442241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14224434130992 and 14224434131010.

It is a congruent number.

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, 2116727910 + ... + 2116734629.

It is an arithmetic number, because the mean of its divisors is an integer number (533416280040).

Almost surely, 214224434131040 is an apocalyptic number.

14224434131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224434131040 is an abundant number, since it is smaller than the sum of its proper divisors (36983528752800).

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

14224434131040 is a wasteful number, since it uses less digits than its factorization.

14224434131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233462564 (or 4233462556 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14224434131040 its reverse (4013143442241), we get a palindrome (18237577573281).

The spelling of 14224434131040 in words is "fourteen trillion, two hundred twenty-four billion, four hundred thirty-four million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 4233462539 8466925078 12700387617 16933850156 21167312695 25400775234 29634237773 33867700312 42334625390 50801550468 59268475546 63501938085 67735400624 84669250780 88902713319 101603100936 118536951092 127003876170 135470801248 148171188865 169338501560 177805426638 203206201872 237073902184 254007752340 296342377730 338677003120 355610853276 406412403744 444513566595 474147804368 508015504680 592684755460 677354006240 711221706552 889027133190 948295608736 1016031009360 1185369510920 1422443413104 1778054266380 2032062018720 2370739021840 2844886826208 3556108532760 4741478043680 7112217065520 14224434131040