Search a number
-
+
44133140003319 = 32109199226069901
BaseRepresentation
bin10100000100011100011000…
…01000011111100111110111
312210021002100102000122122200
422002032030020133213313
521241034132320101234
6233510252402355543
712203341231312623
oct1202161410374767
9183232312018580
1044133140003319
1113075839a8a834
124b4936b35bbb3
131b8197795ac43
14ac80abd32183
1551800e536d99
hex28238c21f9f7

44133140003319 has 24 divisors (see below), whose sum is σ = 64655991972000. Its totient is φ = 29005672449600.

The previous prime is 44133140003279. The next prime is 44133140003327. The reversal of 44133140003319 is 91330004133144.

44133140003319 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 314 + 0 + 0 + 0 + 331 + 9 = 666.

44133140003319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44133140003319 - 27 = 44133140003191 is a prime.

It is a super-2 number, since 2×441331400033192 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44133140005319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112839732 + ... + 113230169.

It is an arithmetic number, because the mean of its divisors is an integer number (2693999665500).

Almost surely, 244133140003319 is an apocalyptic number.

44133140003319 is a deficient number, since it is larger than the sum of its proper divisors (20522851968681).

44133140003319 is a wasteful number, since it uses less digits than its factorization.

44133140003319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226070215 (or 226070212 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 44133140003319 in words is "forty-four trillion, one hundred thirty-three billion, one hundred forty million, three thousand, three hundred nineteen".

Divisors: 1 3 9 109 199 327 597 981 1791 21691 65073 195219 226069901 678209703 2034629109 24641619209 44987910299 73924857627 134963730897 221774572881 404891192691 4903682222591 14711046667773 44133140003319