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14162349521408 = 29112971846389
BaseRepresentation
bin1100111000010110110111…
…0011111111101000000000
31212010220111111012011012212
43032011231303333220000
53324013442434141113
650042032112441252
72661124136460314
oct316055563775000
955126444164185
1014162349521408
114570245102a80
121708912249228
137b9671bb430a
1436d666021b44
151985ddc900a8
hexce16dcffa00

14162349521408 has 80 divisors (see below), whose sum is σ = 30879922978080. Its totient is φ = 6435257241600.

The previous prime is 14162349521401. The next prime is 14162349521417. The reversal of 14162349521408 is 80412594326141.

It is not an unprimeable number, because it can be changed into a prime (14162349521401) 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 7 ways as a sum of consecutive naturals, for example, 16309478 + ... + 17155866.

It is an arithmetic number, because the mean of its divisors is an integer number (385999037226).

Almost surely, 214162349521408 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 14162349521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439961489040).

14162349521408 is an abundant number, since it is smaller than the sum of its proper divisors (16717573456672).

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

14162349521408 is an equidigital number, since it uses as much as digits as its factorization.

14162349521408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849389 (or 849373 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 14162349521408 in words is "fourteen trillion, one hundred sixty-two billion, three hundred forty-nine million, five hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 2971 5632 5942 11884 23768 32681 47536 65362 95072 130724 190144 261448 380288 522896 760576 846389 1045792 1521152 1692778 2091584 3385556 4183168 6771112 8366336 9310279 13542224 16732672 18620558 27084448 37241116 54168896 74482232 108337792 148964464 216675584 297928928 433351168 595857856 1191715712 2383431424 2514621719 4766862848 5029243438 10058486876 20116973752 27660838909 40233947504 55321677818 80467895008 110643355636 160935790016 221286711272 321871580032 442573422544 643743160064 885146845088 1287486320128 1770293690176 3540587380352 7081174760704 14162349521408