Search a number
-
+
4434638364344 = 2319473131983227
BaseRepresentation
bin100000010001000010100…
…0010110101111010111000
3120200221120120110022000002
41000202011002311322320
51040124114410124334
613233124510332132
7635251321102106
oct100420502657270
916627516408002
104434638364344
11145a7a0822861
125b75674ba048
1326225275c346
141148cd992c76
157a54d7ecb7e
hex408850b5eb8

4434638364344 has 64 divisors (see below), whose sum is σ = 8967363724800. Its totient is φ = 2049354687744.

The previous prime is 4434638364329. The next prime is 4434638364367.

4434638364344 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4434638364344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1244459 + ... + 3227685.

It is an arithmetic number, because the mean of its divisors is an integer number (140115058200).

Almost surely, 24434638364344 is an apocalyptic number.

It is an amenable number.

4434638364344 is an abundant number, since it is smaller than the sum of its proper divisors (4532725360456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4434638364344 is a wasteful number, since it uses less digits than its factorization.

4434638364344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983612 (or 1983608 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 56.

The spelling of 4434638364344 in words is "four trillion, four hundred thirty-four billion, six hundred thirty-eight million, three hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 19 38 47 76 94 152 188 313 376 626 893 1252 1786 2504 3572 5947 7144 11894 14711 23788 29422 47576 58844 117688 279509 559018 1118036 1983227 2236072 3966454 7932908 15865816 37681313 75362626 93211669 150725252 186423338 301450504 372846676 620750051 745693352 1241500102 1771021711 2483000204 3542043422 4966000408 7084086844 11794250969 14168173688 23588501938 29175252397 47177003876 58350504794 94354007752 116701009588 233402019176 554329795543 1108659591086 2217319182172 4434638364344