Search a number
-
+
14131041500324 = 227131167190712097
BaseRepresentation
bin1100110110100010001110…
…1101010111110010100100
31212000220200120121220020102
43031220203231113302210
53323010333111002244
650015413313123232
72655635244623030
oct315504355276244
955026616556212
1014131041500324
114558a39593391
121702835259518
137b6722836358
1436bd35da91c0
151978aa3de54e
hexcda23b57ca4

14131041500324 has 96 divisors (see below), whose sum is σ = 28665742178304. Its totient is φ = 5970316584960.

The previous prime is 14131041500293. The next prime is 14131041500357. The reversal of 14131041500324 is 42300514013141.

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 31 ways as a sum of consecutive naturals, for example, 1168138244 + ... + 1168150340.

It is an arithmetic number, because the mean of its divisors is an integer number (298601481024).

Almost surely, 214131041500324 is an apocalyptic number.

14131041500324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14131041500324 is an abundant number, since it is smaller than the sum of its proper divisors (14534700677980).

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

14131041500324 is a wasteful number, since it uses less digits than its factorization.

14131041500324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14313 (or 14311 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 14131041500324 its reverse (42300514013141), we get a palindrome (56431555513465).

The spelling of 14131041500324 in words is "fourteen trillion, one hundred thirty-one billion, forty-one million, five hundred thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 131 167 262 334 524 668 917 1169 1834 1907 2338 3668 3814 4676 7628 12097 13349 21877 24194 26698 43754 48388 53396 84679 87508 153139 169358 249817 306278 318469 338716 499634 612556 636938 999268 1273876 1584707 1748719 2020199 2229283 3169414 3497438 4040398 4458566 6338828 6994876 8080796 8917132 11092949 14141393 22185898 23068979 28282786 41719439 44371796 46137958 56565572 83438878 92275916 161482853 166877756 264646069 292036073 322965706 529292138 584072146 645931412 1058584276 1168144292 1852522483 3022036249 3705044966 3852519493 6044072498 7410089932 7705038986 12088144996 15410077972 21154253743 26967636451 42308507486 53935272902 84617014972 107870545804 504680053583 1009360107166 2018720214332 3532760375081 7065520750162 14131041500324