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14066145236196 = 223219216721972
BaseRepresentation
bin1100110010110000011110…
…0101110001010011100100
31211210201011211212002210100
43030230013211301103210
53320424431140024241
645525521541024100
72651150122522554
oct314540745612344
954721154762710
1014066145236196
114533467311649
1216b21436b5030
137b057c89b671
14368b3b139164
15195d5cdc69b6
hexccb079714e4

14066145236196 has 243 divisors, whose sum is σ = 37944614982729. Its totient is φ = 4392929249856.

The previous prime is 14066145236173. The next prime is 14066145236197. The reversal of 14066145236196 is 69163254166041.

The square root of 14066145236196 is 3750486.

It is a perfect power (a square), and thus also a powerful number.

14066145236196 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 6 + 14 + 5 + 2 + 3 + 619 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13781988008100 + 284157228096 = 3712410^2 + 533064^2 .

It is not an unprimeable number, because it can be changed into a prime (14066145236197) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71401752370 + ... + 71401752566.

Almost surely, 214066145236196 is an apocalyptic number.

14066145236196 is the 3750486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14066145236196

14066145236196 is an abundant number, since it is smaller than the sum of its proper divisors (23878469746533).

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

14066145236196 is a wasteful number, since it uses less digits than its factorization.

14066145236196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 14066145236196 in words is "fourteen trillion, sixty-six billion, one hundred forty-five million, two hundred thirty-six thousand, one hundred ninety-six".