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42104040033 = 31121947129887
BaseRepresentation
bin100111001101100110…
…001010101001100001
311000200022011211211010
4213031212022221201
51142212113240113
631201535411133
73020243302206
oct471546125141
9130608154733
1042104040033
11169466a6500
1281b0683aa9
133c7cc56273
142075bc9cad
15116659b1c3
hex9cd98aa61

42104040033 has 48 divisors (see below), whose sum is σ = 66336399360. Its totient is φ = 23660033760.

The previous prime is 42104040031. The next prime is 42104040067. The reversal of 42104040033 is 33004040124.

It is not a de Polignac number, because 42104040033 - 21 = 42104040031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42104039991 and 42104040009.

It is not an unprimeable number, because it can be changed into a prime (42104040031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 259216 + ... + 389102.

It is an arithmetic number, because the mean of its divisors is an integer number (1382008320).

Almost surely, 242104040033 is an apocalyptic number.

It is an amenable number.

42104040033 is a deficient number, since it is larger than the sum of its proper divisors (24232359327).

42104040033 is a wasteful number, since it uses less digits than its factorization.

42104040033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129978 (or 129967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42104040033 its reverse (33004040124), we get a palindrome (75108080157).

Subtracting from 42104040033 its reverse (33004040124), we obtain a palindrome (9099999909).

The spelling of 42104040033 in words is "forty-two billion, one hundred four million, forty thousand, thirty-three".

Divisors: 1 3 11 19 33 47 57 121 141 209 363 517 627 893 1551 2299 2679 5687 6897 9823 17061 29469 108053 129887 324159 389661 1428757 2467853 4286271 6104689 7403559 15716327 18314067 27146383 47148981 67151579 81439149 115989091 201454737 298610213 347967273 738667369 895830639 1275880001 2216002107 3827640003 14034680011 42104040033