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14006630502216 = 233211192337139827
BaseRepresentation
bin1100101111010010110000…
…1111000100111101001000
31211121000120011101100212200
43023310230033010331020
53313441034402032331
645442320205440200
72643642234604602
oct313645417047510
954530504340780
1014006630502216
1145101a6848090
1216a26b4270060
137a7a86838041
14365cd2cc4172
1519452807b5e6
hexcbd2c3c4f48

14006630502216 has 192 divisors, whose sum is σ = 43564248748800. Its totient is φ = 4020769238400.

The previous prime is 14006630502211. The next prime is 14006630502229. The reversal of 14006630502216 is 61220503660041.

14006630502216 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 630 + 5 + 0 + 2 + 2 + 16 = 666.

14006630502216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14006630502211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351666895 + ... + 351706721.

It is an arithmetic number, because the mean of its divisors is an integer number (226897128900).

Almost surely, 214006630502216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14006630502216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21782124374400).

14006630502216 is an abundant number, since it is smaller than the sum of its proper divisors (29557618246584).

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

14006630502216 is a wasteful number, since it uses less digits than its factorization.

14006630502216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63240 (or 63233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14006630502216 in words is "fourteen trillion, six billion, six hundred thirty million, five hundred two thousand, two hundred sixteen".