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14152230414522 = 23237149605323561
BaseRepresentation
bin1100110111110001001010…
…1010101010100010111010
31212002221101021022021011100
43031330102222222202322
53323332231441231042
650033240033112230
72660315314464054
oct315742252524272
955087337267140
1014152230414522
114566a22137222
1217069693b8676
137b871b6235c5
1436cd861368d4
151981ea70624c
hexcdf12aaa8ba

14152230414522 has 96 divisors (see below), whose sum is σ = 31709838560400. Its totient is φ = 4558161116160.

The previous prime is 14152230414437. The next prime is 14152230414523. The reversal of 14152230414522 is 22541403225141.

14152230414522 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 2 + 230 + 414 + 5 + 2 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1980721279161 + 12171509135361 = 1407381^2 + 3488769^2 .

It is not an unprimeable number, because it can be changed into a prime (14152230414523) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 600651622 + ... + 600675182.

Almost surely, 214152230414522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14152230414522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854919280200).

14152230414522 is an abundant number, since it is smaller than the sum of its proper divisors (17557608145878).

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

14152230414522 is a wasteful number, since it uses less digits than its factorization.

14152230414522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29808 (or 29805 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 14152230414522 its reverse (22541403225141), we get a palindrome (36693633639663).

The spelling of 14152230414522 in words is "fourteen trillion, one hundred fifty-two billion, two hundred thirty million, four hundred fourteen thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 149 222 298 333 447 666 894 1341 2682 5513 6053 11026 12106 16539 18159 23561 33078 36318 47122 49617 54477 70683 99234 108954 141366 212049 223961 424098 447922 671883 871757 901897 1343766 1743514 1803794 2015649 2615271 2705691 3510589 4031298 5230542 5411382 7021178 7845813 8117073 10531767 15691626 16234146 21063534 31595301 33370189 63190602 66740378 100110567 129891793 142614733 200221134 259783586 285229466 300331701 389675379 427844199 600663402 779350758 855688398 1169026137 1283532597 2338052274 2567065194 5276745121 10553490242 15830235363 21249595217 31660470726 42499190434 47490706089 63748785651 94981412178 127497571302 191246356953 382492713906 786235023029 1572470046058 2358705069087 4717410138174 7076115207261 14152230414522