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14442000444201 = 3113152312698777
BaseRepresentation
bin1101001000101000101001…
…0011100110101100101001
31220010122022211201221210210
43102022022103212230221
53343104204103203301
650414321410331333
73020254143214161
oct322121223465451
956118284657723
1014442000444201
1146688aa8263a0
121752b58889b49
13809b4ac16125
1437cdd47715a1
151a0a09c2cad6
hexd228a4e6b29

14442000444201 has 32 divisors (see below), whose sum is σ = 21688329977856. Its totient is φ = 8468759088000.

The previous prime is 14442000444199. The next prime is 14442000444211. The reversal of 14442000444201 is 10244400024441.

It is not a de Polignac number, because 14442000444201 - 21 = 14442000444199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14442000444211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4001925 + ... + 6700701.

It is an arithmetic number, because the mean of its divisors is an integer number (677760311808).

Almost surely, 214442000444201 is an apocalyptic number.

14442000444201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14442000444201 is a deficient number, since it is larger than the sum of its proper divisors (7246329533655).

14442000444201 is a wasteful number, since it uses less digits than its factorization.

14442000444201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704053.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14442000444201 its reverse (10244400024441), we get a palindrome (24686400468642).

The spelling of 14442000444201 in words is "fourteen trillion, four hundred forty-two billion, four hundred forty-four thousand, two hundred one".

Divisors: 1 3 11 31 33 93 341 1023 5231 15693 57541 162161 172623 486483 1783771 2698777 5351313 8096331 29686547 83662087 89059641 250986261 920282957 2760848871 14117302487 42351907461 155290327357 437636377097 465870982071 1312909131291 4814000148067 14442000444201