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2254061145042 = 2327216715303143
BaseRepresentation
bin100000110011010000100…
…000111000101111010010
321222111010101201020202200
4200303100200320233102
5243412304123120132
64443300145024030
7321564510414600
oct40632040705722
97874111636680
102254061145042
11799a3a831453
12304a28625016
13134731b02b65
147b1507b0870
153d9775e8d7c
hex20cd0838bd2

2254061145042 has 72 divisors (see below), whose sum is σ = 5715173370816. Its totient is φ = 640161036144.

The previous prime is 2254061145023. The next prime is 2254061145053. The reversal of 2254061145042 is 2405411604522.

2254061145042 is a `hidden beast` number, since 2 + 2 + 540 + 61 + 1 + 4 + 50 + 4 + 2 = 666.

It is a super-2 number, since 2×22540611450422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2254061144988 and 2254061145006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7504278 + ... + 7798865.

It is an arithmetic number, because the mean of its divisors is an integer number (79377407928).

Almost surely, 22254061145042 is an apocalyptic number.

2254061145042 is an abundant number, since it is smaller than the sum of its proper divisors (3461112225774).

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

2254061145042 is a wasteful number, since it uses less digits than its factorization.

2254061145042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303332 (or 15303322 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2254061145042 its reverse (2405411604522), we get a palindrome (4659472749564).

The spelling of 2254061145042 in words is "two trillion, two hundred fifty-four billion, sixty-one million, one hundred forty-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 167 294 334 441 501 882 1002 1169 1503 2338 3006 3507 7014 8183 10521 16366 21042 24549 49098 73647 147294 15303143 30606286 45909429 91818858 107122001 137728287 214244002 275456574 321366003 642732006 749854007 964098009 1499708014 1928196018 2249562021 2555624881 4499124042 5111249762 6748686063 7666874643 13497372126 15333749286 17889374167 23000623929 35778748334 46001247858 53668122501 107336245002 125225619169 161004367503 250451238338 322008735006 375676857507 751353715014 1127030572521 2254061145042