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24134400133 = 732153153557
BaseRepresentation
bin10110011110100001…
…011011100010000101
32022021222010120000121
4112132201123202011
5343411401301013
615030455541541
71513034005414
oct263641334205
968258116017
1024134400133
11a265270038
12481668a8b1
1323780c584c
14124d42347b
15963bdd58d
hex59e85b885

24134400133 has 8 divisors (see below), whose sum is σ = 24476530968. Its totient is φ = 23792580864.

The previous prime is 24134400131. The next prime is 24134400179. The reversal of 24134400133 is 33100443142.

It can be written as a sum of positive squares in 4 ways, for example, as 5502969124 + 18631431009 = 74182^2 + 136497^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 24134400133 - 21 = 24134400131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 24134400098 and 24134400107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24134400131) 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 7 ways as a sum of consecutive naturals, for example, 80391 + ... + 233947.

It is an arithmetic number, because the mean of its divisors is an integer number (3059566371).

Almost surely, 224134400133 is an apocalyptic number.

It is an amenable number.

24134400133 is a deficient number, since it is larger than the sum of its proper divisors (342130835).

24134400133 is a wasteful number, since it uses less digits than its factorization.

24134400133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155783.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 24134400133 its reverse (33100443142), we get a palindrome (57234843275).

The spelling of 24134400133 in words is "twenty-four billion, one hundred thirty-four million, four hundred thousand, one hundred thirty-three".

Divisors: 1 73 2153 153557 157169 11209661 330608221 24134400133