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12431233203144 = 2337509145374137
BaseRepresentation
bin1011010011100101111100…
…1111010011101111001000
31122000102012000102120211220
42310321133033103233020
53112133131200000034
642234455114122040
72422061355526560
oct264713717235710
948012160376756
1012431233203144
113a63069074a88
12148930aa20320
136c234ca41402
1430d963cbdda0
1516857183b749
hexb4e5f3d3bc8

12431233203144 has 64 divisors (see below), whose sum is σ = 35587588982400. Its totient is φ = 3544802932224.

The previous prime is 12431233203119. The next prime is 12431233203149. The reversal of 12431233203144 is 44130233213421.

It is not an unprimeable number, because it can be changed into a prime (12431233203149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72601557 + ... + 72772580.

It is an arithmetic number, because the mean of its divisors is an integer number (556056077850).

Almost surely, 212431233203144 is an apocalyptic number.

12431233203144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12431233203144 is an abundant number, since it is smaller than the sum of its proper divisors (23156355779256).

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

12431233203144 is a wasteful number, since it uses less digits than its factorization.

12431233203144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145374662 (or 145374658 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 12431233203144 its reverse (44130233213421), we get a palindrome (56561466416565).

The spelling of 12431233203144 in words is "twelve trillion, four hundred thirty-one billion, two hundred thirty-three million, two hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 509 1018 1527 2036 3054 3563 4072 6108 7126 10689 12216 14252 21378 28504 42756 85512 145374137 290748274 436122411 581496548 872244822 1017618959 1162993096 1744489644 2035237918 3052856877 3488979288 4070475836 6105713754 8140951672 12211427508 24422855016 73995435733 147990871466 221986307199 295981742932 443972614398 517968050131 591963485864 887945228796 1035936100262 1553904150393 1775890457592 2071872200524 3107808300786 4143744401048 6215616601572 12431233203144