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4434310134344 = 23683853951407
BaseRepresentation
bin100000010000111000101…
…1110101111101001001000
3120200220201200211111002102
41000201301132233221020
51040122431343244334
613233032143252532
7635240224145246
oct100416136575110
916626650744072
104434310134344
11145a6425177a2
125b74955aa148
132621cc7590cc
1411489c151796
157a52eab467e
hex408717afa48

4434310134344 has 32 divisors (see below), whose sum is σ = 8336274952320. Its totient is φ = 2211311103936.

The previous prime is 4434310134343. The next prime is 4434310134349.

4434310134344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4434310134298 and 4434310134307.

It is not an unprimeable number, because it can be changed into a prime (4434310134343) 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 7 ways as a sum of consecutive naturals, for example, 4185089 + ... + 5136495.

It is an arithmetic number, because the mean of its divisors is an integer number (260508592260).

Almost surely, 24434310134344 is an apocalyptic number.

It is an amenable number.

4434310134344 is a deficient number, since it is larger than the sum of its proper divisors (3901964817976).

4434310134344 is a wasteful number, since it uses less digits than its factorization.

4434310134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952949 (or 952945 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 4434310 and 134344, that added together give a palindrome (4568654).

The spelling of 4434310134344 in words is "four trillion, four hundred thirty-four billion, three hundred ten million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 683 853 1366 1706 2732 3412 5464 6824 582599 951407 1165198 1902814 2330396 3805628 4660792 7611256 649810981 811550171 1299621962 1623100342 2599243924 3246200684 5198487848 6492401368 554288766793 1108577533586 2217155067172 4434310134344