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2434441200133 = 234310922582733
BaseRepresentation
bin100011011011010000000…
…000001100001000000101
322121201201101121110120211
4203123100000030020011
5304341213421401013
65102211123355421
7340611502530205
oct43332000141005
98551641543524
102434441200133
11859493656648
12333989522b71
1314874a3c4677
1485b82c5c405
15434d337623d
hex236d000c205

2434441200133 has 16 divisors (see below), whose sum is σ = 2623210381440. Its totient is φ = 2253575991744.

The previous prime is 2434441200077. The next prime is 2434441200137. The reversal of 2434441200133 is 3310021444342.

It is a cyclic number.

It is not a de Polignac number, because 2434441200133 - 221 = 2434439102981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2434441200095 and 2434441200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434441200137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11183566 + ... + 11399167.

It is an arithmetic number, because the mean of its divisors is an integer number (163950648840).

Almost surely, 22434441200133 is an apocalyptic number.

2434441200133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2434441200133 is a deficient number, since it is larger than the sum of its proper divisors (188769181307).

2434441200133 is a wasteful number, since it uses less digits than its factorization.

2434441200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22582908.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 2434441200133 its reverse (3310021444342), we get a palindrome (5744462644475).

The spelling of 2434441200133 in words is "two trillion, four hundred thirty-four billion, four hundred forty-one million, two hundred thousand, one hundred thirty-three".

Divisors: 1 23 43 109 989 2507 4687 107801 22582733 519402859 971057519 2461517897 22334322937 56614911631 105845269571 2434441200133