Search a number
-
+
2133413415 = 325723294467
BaseRepresentation
bin111111100101001…
…0100111000100111
312111200101122000200
41333022110320213
513332123212130
6551410241543
7103603500120
oct17712247047
95450348020
102133413415
119a5290091
124b65862b3
1327ccb9703
141634a7047
15c7467760
hex7f294e27

2133413415 has 48 divisors (see below), whose sum is σ = 4409952768. Its totient is φ = 932868288.

The previous prime is 2133413413. The next prime is 2133413533. The reversal of 2133413415 is 5143143312.

It is a happy number.

2133413415 is a `hidden beast` number, since 213 + 34 + 1 + 3 + 415 = 666.

It is not a de Polignac number, because 2133413415 - 21 = 2133413413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133413413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139989 + ... + 154478.

It is an arithmetic number, because the mean of its divisors is an integer number (91874016).

Almost surely, 22133413415 is an apocalyptic number.

2133413415 is an abundant number, since it is smaller than the sum of its proper divisors (2276539353).

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

2133413415 is a wasteful number, since it uses less digits than its factorization.

2133413415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294508 (or 294505 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2133413415 is about 46188.8884365060. Note that the first 3 decimals coincide. The cubic root of 2133413415 is about 1287.3352871891.

Adding to 2133413415 its reverse (5143143312), we get a palindrome (7276556727).

The spelling of 2133413415 in words is "two billion, one hundred thirty-three million, four hundred thirteen thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 294467 883401 1472335 2061269 2650203 4417005 6183807 6772741 10306345 13251015 18551421 20318223 30919035 33863705 47409187 60954669 92757105 101591115 142227561 237045935 304773345 426682683 711137805 2133413415