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114543112114002 = 2311131091409869249
BaseRepresentation
bin11010000010110100100101…
…100000100100111101010010
3120000120012210102111111121210
4122002310211200210331102
5110003133243200122002
61043340213531200550
733061316045363655
oct3202644540447522
9500505712444553
10114543112114002
1133551508723640
1210a1b2805a6156
134bbb4a4c77090
14203dcb80dd89c
15d397e112596c
hex682d25824f52

114543112114002 has 128 divisors (see below), whose sum is σ = 271798480800000. Its totient is φ = 31723518689280.

The previous prime is 114543112113973. The next prime is 114543112114007. The reversal of 114543112114002 is 200411211345411.

It is not an unprimeable number, because it can be changed into a prime (114543112114007) 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, 131337874 + ... + 132207122.

It is an arithmetic number, because the mean of its divisors is an integer number (2123425631250).

Almost surely, 2114543112114002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114543112114002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135899240400000).

114543112114002 is an abundant number, since it is smaller than the sum of its proper divisors (157255368685998).

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

114543112114002 is a wasteful number, since it uses less digits than its factorization.

114543112114002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870796.

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 114543112114002 its reverse (200411211345411), we get a palindrome (314954323459413).

The spelling of 114543112114002 in words is "one hundred fourteen trillion, five hundred forty-three billion, one hundred twelve million, one hundred fourteen thousand, two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 109 143 218 286 327 429 654 858 1199 1409 1417 2398 2818 2834 3597 4227 4251 7194 8454 8502 15499 15587 18317 30998 31174 36634 46497 46761 54951 92994 93522 109902 153581 201487 307162 402974 460743 604461 869249 921486 1208922 1689391 1738498 1996553 2607747 3378782 3993106 5068173 5215494 5989659 9561739 10136346 11300237 11979318 19123478 21962083 22600474 28685217 33900711 43924166 57370434 65886249 67801422 94748141 124302607 131772498 189496282 248605214 284244423 372907821 568488846 745815642 1042229551 1224771841 1231725833 2084459102 2449543682 2463451666 3126688653 3674315523 3695177499 6253377306 7348631046 7390354998 13472490251 13548984163 15922033933 26944980502 27097968326 31844067866 40417470753 40646952489 47766101799 80834941506 81293904978 95532203598 133500130669 175142373263 267000261338 350284746526 400500392007 525427119789 801000784014 1050854239578 1468501437359 1735501698697 2937002874718 3471003397394 4405504312077 5206505096091 8811008624154 10413010192182 19090518685667 38181037371334 57271556057001 114543112114002