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14162245424166 = 23719313739153113
BaseRepresentation
bin1100111000010110011110…
…0110111001010000100110
31212010220020020022110122110
43032011213212321100212
53324013234312033131
650042013513341450
72661121433611650
oct316054746712046
955126206273573
1014162245424166
1145701a13731a4
1217088a3407886
137b9656467908
1436d6562856d0
151985d4a7b646
hexce1679b9426

14162245424166 has 128 divisors (see below), whose sum is σ = 35183392358400. Its totient is φ = 3708715610880.

The previous prime is 14162245424087. The next prime is 14162245424279. The reversal of 14162245424166 is 66142454226141.

14162245424166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92418826 + ... + 92571938.

It is an arithmetic number, because the mean of its divisors is an integer number (274870252800).

Almost surely, 214162245424166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14162245424166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591696179200).

14162245424166 is an abundant number, since it is smaller than the sum of its proper divisors (21021146934234).

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

14162245424166 is a wasteful number, since it uses less digits than its factorization.

14162245424166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156914.

The product of its digits is 2211840, while the sum is 48.

The spelling of 14162245424166 in words is "fourteen trillion, one hundred sixty-two billion, two hundred forty-five million, four hundred twenty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 3534 3739 4123 7478 8246 11217 12369 22434 24738 26173 52346 71041 78519 115909 142082 153113 157038 213123 231818 306226 347727 426246 459339 497287 695454 811363 918678 994574 1071791 1491861 1622726 2143582 2202271 2434089 2909147 2983722 3215373 4404542 4746503 4868178 5818294 6430746 6606813 8727441 9493006 13213626 14239509 15415897 17454882 20364029 28479018 30831794 33225521 40728058 46247691 61092087 66451042 90183557 92495382 99676563 122184174 180367114 199353126 270550671 541101342 572489507 631284899 1144979014 1262569798 1717468521 1893854697 3434937042 3787709394 4007426549 8014853098 10877300633 12022279647 17747174717 21754601266 24044559294 32631901899 35494349434 53241524151 65263803798 76141104431 106483048302 124230223019 152282208862 228423313293 248460446038 337196319623 372690669057 456846626586 674392639246 745381338114 1011588958869 2023177917738 2360374237361 4720748474722 7081122712083 14162245424166