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14423466432441 = 3113371012513851
BaseRepresentation
bin1101000111100011100110…
…0101111101011110111001
31220001212111011201121100210
43101320321211331132321
53342303224401314231
650402014330221333
73016026641550363
oct321707145753671
956055434647323
1014423466432441
114660a59867000
12174b445884849
13808186182771
1437c157057d33
151a02c2a3da46
hexd1e3997d7b9

14423466432441 has 128 divisors (see below), whose sum is σ = 22032899610624. Its totient is φ = 8385300000000.

The previous prime is 14423466432391. The next prime is 14423466432461.

14423466432441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14423466432441 - 26 = 14423466432377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14423466432461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3745380166 + ... + 3745384016.

It is an arithmetic number, because the mean of its divisors is an integer number (172132028208).

Almost surely, 214423466432441 is an apocalyptic number.

14423466432441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14423466432441 is a deficient number, since it is larger than the sum of its proper divisors (7609433178183).

14423466432441 is a wasteful number, since it uses less digits than its factorization.

14423466432441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4254 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

It can be divided in two parts, 1442346 and 6432441, that added together give a palindrome (7874787).

The spelling of 14423466432441 in words is "fourteen trillion, four hundred twenty-three billion, four hundred sixty-six million, four hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 11 33 37 101 111 121 251 303 363 407 753 1111 1221 1331 2761 3333 3737 3851 3993 4477 8283 9287 11211 11553 12221 13431 25351 27861 30371 36663 41107 42361 49247 76053 91113 102157 123321 127083 134431 142487 147741 278861 306471 334081 388951 403293 427461 452177 465971 836583 937987 966601 1002243 1123727 1166853 1356531 1397913 1567357 2813961 2899803 3067471 3371181 4278461 4702071 4973947 5125681 9202413 10317857 10632611 12360997 12835383 14391187 14921841 15377043 17240927 30953571 31897833 33742181 35764237 37082991 43173561 47063071 51722781 97626701 101226543 107292711 113496427 116958721 141189213 158303057 189650197 292880103 340489281 350876163 393406607 474909171 517693781 568950591 1073893711 1180219821 1248460697 1286545931 1553081343 1741333627 3221681133 3612187937 3745382091 3859637793 4327472677 5224000881 10836563811 11812830821 12982418031 19154669897 35438492463 39734067307 47602199447 57464009691 119202201921 129941139031 142806598341 389823417093 437074740377 1311224221131 4807822144147 14423466432441