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4334414344253 = 72339612604677
BaseRepresentation
bin111111000100101111001…
…110100011000000111101
3120100100212210021112221222
4333010233032203000331
51032003340033004003
613115111422003125
7625102554014600
oct77045716430075
916310783245858
104334414344253
11142123a999094
125a00567164a5
1325596c705446
1410db02c9a337
1577b34ab1c38
hex3f12f3a303d

4334414344253 has 12 divisors (see below), whose sum is σ = 5042224231452. Its totient is φ = 3715101472320.

The previous prime is 4334414344229. The next prime is 4334414344283. The reversal of 4334414344253 is 3524434144334.

It can be written as a sum of positive squares in 2 ways, for example, as 1158027797689 + 3176386546564 = 1076117^2 + 1782242^2 .

It is not a de Polignac number, because 4334414344253 - 230 = 4333340602429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334414344223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361751 + ... + 2966427.

It is an arithmetic number, because the mean of its divisors is an integer number (420185352621).

Almost surely, 24334414344253 is an apocalyptic number.

It is an amenable number.

4334414344253 is a deficient number, since it is larger than the sum of its proper divisors (707809887199).

4334414344253 is a wasteful number, since it uses less digits than its factorization.

4334414344253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638652 (or 2638645 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 44.

Adding to 4334414344253 its reverse (3524434144334), we get a palindrome (7858848488587).

The spelling of 4334414344253 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, two hundred fifty-three".

Divisors: 1 7 49 33961 237727 1664089 2604677 18232739 127629173 88457435597 619202049179 4334414344253