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14146303050144 = 253249119107813
BaseRepresentation
bin1100110111011011000101…
…0111100100000110100000
31212002101002011220221211100
43031312301113210012200
53323233112040101034
650030415533114400
72660015401640256
oct315666127440640
955071064827740
1014146303050144
114564460307681
121705794328a00
137b7cb5609bc5
1436c982c345d6
15197ea016a099
hexcddb15e41a0

14146303050144 has 36 divisors (see below), whose sum is σ = 40228549299666. Its totient is φ = 4715434349952.

The previous prime is 14146303050127. The next prime is 14146303050157. The reversal of 14146303050144 is 44105030364141.

14146303050144 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 630 + 3 + 0 + 5 + 0 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11665640250000 + 2480662800144 = 3415500^2 + 1575012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 14146303050099 and 14146303050108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24559553619 + ... + 24559554194.

Almost surely, 214146303050144 is an apocalyptic number.

It is an amenable number.

14146303050144 is an abundant number, since it is smaller than the sum of its proper divisors (26082246249522).

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

14146303050144 is a wasteful number, since it uses less digits than its factorization.

14146303050144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49119107829 (or 49119107818 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14146303050144 in words is "fourteen trillion, one hundred forty-six billion, three hundred three million, fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49119107813 98238215626 147357323439 196476431252 294714646878 392952862504 442071970317 589429293756 785905725008 884143940634 1178858587512 1571811450016 1768287881268 2357717175024 3536575762536 4715434350048 7073151525072 14146303050144