Search a number
-
+
444114110022112 = 2534703399924097
BaseRepresentation
bin110010011111010110101111…
…1110001001000000111100000
32011020110220010221000120011201
41210332231133301020013200
5431202331144131201422
64212315112223050544
7162355120442132425
oct14476553761100740
92136426127016151
10444114110022112
11119565811092932
1241988358a40a54
13160a6a1c77198a
147b95348039d4c
153652661b57727
hex193eb5fc481e0

444114110022112 has 24 divisors (see below), whose sum is σ = 874374851510496. Its totient is φ = 222050655670272.

The previous prime is 444114110022097. The next prime is 444114110022113. The reversal of 444114110022112 is 211220011411444.

It is a happy number.

It is a super-3 number, since 3×4441141100221123 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444114110022113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198851553 + ... + 201072544.

It is an arithmetic number, because the mean of its divisors is an integer number (36432285479604).

Almost surely, 2444114110022112 is an apocalyptic number.

It is an amenable number.

444114110022112 is a deficient number, since it is larger than the sum of its proper divisors (430260741488384).

444114110022112 is a wasteful number, since it uses less digits than its factorization.

444114110022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399958810 (or 399958802 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 444114110022112 its reverse (211220011411444), we get a palindrome (655334121433556).

The spelling of 444114110022112 in words is "four hundred forty-four trillion, one hundred fourteen billion, one hundred ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 34703 69406 138812 277624 555248 1110496 399924097 799848194 1599696388 3199392776 6398785552 12797571104 13878565938191 27757131876382 55514263752764 111028527505528 222057055011056 444114110022112