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4434321113313 = 3713291346341603
BaseRepresentation
bin100000010000111001000…
…1000101000000011100001
3120200220202110111021101220
41000201302020220003201
51040122442201111223
613233033214445253
7635240416363020
oct100416210500341
916626673437356
104434321113313
11145a648736423
125b7499203829
13262201b01440
1411489d7ac8b7
157a530a326e3
hex408722280e1

4434321113313 has 64 divisors (see below), whose sum is σ = 7528500080640. Its totient is φ = 2258105971968.

The previous prime is 4434321113297. The next prime is 4434321113359. The reversal of 4434321113313 is 3133111234344.

4434321113313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4434321113313 - 24 = 4434321113297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4434321113363) 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 63 ways as a sum of consecutive naturals, for example, 106565770 + ... + 106607372.

It is an arithmetic number, because the mean of its divisors is an integer number (117632813760).

Almost surely, 24434321113313 is an apocalyptic number.

It is an amenable number.

4434321113313 is a deficient number, since it is larger than the sum of its proper divisors (3094178967327).

4434321113313 is a wasteful number, since it uses less digits than its factorization.

4434321113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55118.

The product of its digits is 31104, while the sum is 33.

Adding to 4434321113313 its reverse (3133111234344), we get a palindrome (7567432347657).

The spelling of 4434321113313 in words is "four trillion, four hundred thirty-four billion, three hundred twenty-one million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 7 13 21 29 39 87 91 203 273 377 609 1131 2639 7917 13463 40389 41603 94241 124809 175019 282723 291221 390427 525057 540839 873663 1171281 1206487 1225133 1622517 2732989 3619461 3675399 3785873 5075551 8198967 8445409 11357619 15226653 15684331 25336227 35528857 47052993 106586571 109790317 329370951 560101189 1680303567 3920708323 7281315457 11762124969 16242934481 21843946371 48728803443 50969208199 113700541367 152907624597 211158148253 341101624101 633474444759 1478107037771 4434321113313