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2434005334033 = 713231162926581
BaseRepresentation
bin100011011010110110000…
…001011111100000010001
322121200121000110011200221
4203122312001133200101
5304334320331142113
65102055553313041
7340564630655440
oct43326601374021
98550530404627
102434005334033
1185928a613a29
12333887565781
131486ab006030
1485b40ddcd57
15434a9e7a98d
hex236b605f811

2434005334033 has 16 divisors (see below), whose sum is σ = 3125946652416. Its totient is φ = 1842075702720.

The previous prime is 2434005334027. The next prime is 2434005334067. The reversal of 2434005334033 is 3304335004342.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2434005334033 is a prime.

It is a super-2 number, since 2×24340053340332 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2434005334033.

It is not an unprimeable number, because it can be changed into a prime (2434005334003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581461198 + ... + 581465383.

It is an arithmetic number, because the mean of its divisors is an integer number (195371665776).

Almost surely, 22434005334033 is an apocalyptic number.

2434005334033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2434005334033 is a deficient number, since it is larger than the sum of its proper divisors (691941318383).

2434005334033 is a wasteful number, since it uses less digits than its factorization.

2434005334033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162926624.

The product of its (nonzero) digits is 155520, while the sum is 34.

The spelling of 2434005334033 in words is "two trillion, four hundred thirty-four billion, five million, three hundred thirty-four thousand, thirty-three".

Divisors: 1 7 13 23 91 161 299 2093 1162926581 8140486067 15118045553 26747311363 105826318871 187231179541 347715047719 2434005334033