Search a number
-
+
4144346705329 = 48750916718963
BaseRepresentation
bin111100010011101110010…
…100000010110110110001
3112200012021122111002102121
4330103232110002312301
51020400110224032304
612451515300514241
7605263526521525
oct74235624026661
915605248432377
104144346705329
111358675743866
1256b2513ab981
13240a6c0807cc
14104831d71d85
1572c0d5d9554
hex3c4ee502db1

4144346705329 has 8 divisors (see below), whose sum is σ = 4161015760320. Its totient is φ = 4127711090256.

The previous prime is 4144346705327. The next prime is 4144346705341. The reversal of 4144346705329 is 9235076434414.

4144346705329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4144346705329 - 21 = 4144346705327 is a prime.

It is a super-2 number, since 2×41443467053292 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144346705327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8111599 + ... + 8607364.

It is an arithmetic number, because the mean of its divisors is an integer number (520126970040).

Almost surely, 24144346705329 is an apocalyptic number.

It is an amenable number.

4144346705329 is a deficient number, since it is larger than the sum of its proper divisors (16669054991).

4144346705329 is a wasteful number, since it uses less digits than its factorization.

4144346705329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16719959.

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 4144346705329 in words is "four trillion, one hundred forty-four billion, three hundred forty-six million, seven hundred five thousand, three hundred twenty-nine".

Divisors: 1 487 509 247883 16718963 8142134981 8509952167 4144346705329