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4434034114413 = 332337192977069
BaseRepresentation
bin100000010000110000100…
…0001110011111101101101
3120200220000110110012221000
41000201201001303331231
51040121400213130123
613232544523230513
7635230333052361
oct100414101637555
916626013405830
104434034114413
11145a510731952
125b7419078439
132621875061c7
141148736212a1
157a515740b43
hex40861073f6d

4434034114413 has 32 divisors (see below), whose sum is σ = 7039803513600. Its totient is φ = 2751081081408.

The previous prime is 4434034114319. The next prime is 4434034114427. The reversal of 4434034114413 is 3144114304344.

4434034114413 is a `hidden beast` number, since 443 + 40 + 34 + 1 + 144 + 1 + 3 = 666.

It is not a de Polignac number, because 4434034114413 - 214 = 4434034098029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434034114493) 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 31 ways as a sum of consecutive naturals, for example, 96465558 + ... + 96511511.

It is an arithmetic number, because the mean of its divisors is an integer number (219993859800).

Almost surely, 24434034114413 is an apocalyptic number.

It is an amenable number.

4434034114413 is a deficient number, since it is larger than the sum of its proper divisors (2605769399187).

4434034114413 is a wasteful number, since it uses less digits than its factorization.

4434034114413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192977138 (or 192977132 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 4434034114413 its reverse (3144114304344), we get a palindrome (7578148418757).

The spelling of 4434034114413 in words is "four trillion, four hundred thirty-four billion, thirty-four million, one hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 9 23 27 37 69 111 207 333 621 851 999 2553 7659 22977 192977069 578931207 1736793621 4438472587 5210380863 7140151553 13315417761 21420454659 39946253283 64261363977 119838759849 164223485719 192784091931 492670457157 1478011371471 4434034114413