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354154223520144 = 24322459404330001
BaseRepresentation
bin101000010000110011111010…
…0101100000100100110010000
31201102221210221202120010020200
41100201213310230010212100
5332404430322210121034
63253120112040535200
7134411540544416355
oct12041476454044620
91642853852503220
10354154223520144
11a2931a65439543
1233879564a81500
131227c7a51c50c8
146365227a2a62c
152ae256dc31a99
hex14219f4b04990

354154223520144 has 30 divisors (see below), whose sum is σ = 991139944990806. Its totient is φ = 118051407840000.

The previous prime is 354154223520067. The next prime is 354154223520151. The reversal of 354154223520144 is 441025322451453.

354154223520144 is a `hidden beast` number, since 3 + 5 + 4 + 15 + 422 + 3 + 5 + 201 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 238238854560144 + 115915368960000 = 15434988^2 + 10766400^2 .

It is a super-2 number, since 2×3541542235201442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354154223520144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1229702164857 + ... + 1229702165144.

Almost surely, 2354154223520144 is an apocalyptic number.

It is an amenable number.

354154223520144 is an abundant number, since it is smaller than the sum of its proper divisors (636985721470662).

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

354154223520144 is a wasteful number, since it uses less digits than its factorization.

354154223520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459404330015 (or 2459404330006 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 354154223520144 its reverse (441025322451453), we get a palindrome (795179545971597).

The spelling of 354154223520144 in words is "three hundred fifty-four trillion, one hundred fifty-four billion, two hundred twenty-three million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2459404330001 4918808660002 7378212990003 9837617320004 14756425980006 19675234640008 22134638970009 29512851960012 39350469280016 44269277940018 59025703920024 88538555880036 118051407840048 177077111760072 354154223520144