Search a number
-
+
14303431113141 = 31723193359175991
BaseRepresentation
bin1101000000100100011011…
…1011100011100110110101
31212122101122201002120220010
43100021012323203212311
53333321411331110031
650230523332530433
73004250233303302
oct320110673434665
955571581076803
1014303431113141
114615061a78a85
121730126180a19
137c9a66880201
1437640b15a0a9
1519c0e990d246
hexd0246ee39b5

14303431113141 has 64 divisors (see below), whose sum is σ = 21239334051840. Its totient is φ = 8516181442560.

The previous prime is 14303431113001. The next prime is 14303431113149. The reversal of 14303431113141 is 14131113430341.

14303431113141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14303431113141 - 241 = 12104407857589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14303431113099 and 14303431113108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14303431113149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81185656 + ... + 81361646.

It is an arithmetic number, because the mean of its divisors is an integer number (331864594560).

Almost surely, 214303431113141 is an apocalyptic number.

It is an amenable number.

14303431113141 is a deficient number, since it is larger than the sum of its proper divisors (6935902938699).

14303431113141 is a wasteful number, since it uses less digits than its factorization.

14303431113141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176586.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 14303431113141 its reverse (14131113430341), we get a palindrome (28434544543482).

The spelling of 14303431113141 in words is "fourteen trillion, three hundred three billion, four hundred thirty-one million, one hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 17 23 51 69 193 359 391 579 1077 1173 3281 4439 6103 8257 9843 13317 18309 24771 69287 75463 140369 175991 207861 226389 421107 527973 1177879 1593601 2991847 3533637 4047793 4780803 8975541 12143379 27091217 33966263 63180769 68812481 81273651 101898789 189542307 206437443 577426471 781224049 1074073073 1453157687 1732279413 2343672147 3222219219 4359473061 12193888417 13280808833 24703680679 36581665251 39842426499 74111042037 207296103089 280459433591 621888309267 841378300773 4767810371047 14303431113141