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14023114444404 = 2234133789981741
BaseRepresentation
bin1100110000010000001011…
…0000010100111001110100
31211122121002221211101120000
43030010002300110321310
53314223314244210104
645454044013511300
72645064564032232
oct314040260247164
954577087741500
1014023114444404
1145171955818aa
1216a59347a2530
137a94b29433a0
14366a1822b952
15194b902b7639
hexcc102c14e74

14023114444404 has 120 divisors (see below), whose sum is σ = 40546132872168. Its totient is φ = 4198188061440.

The previous prime is 14023114444393. The next prime is 14023114444421. The reversal of 14023114444404 is 40444441132041.

14023114444404 is a `hidden beast` number, since 1 + 4 + 0 + 231 + 14 + 4 + 4 + 4 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6792382688400 + 7230731756004 = 2606220^2 + 2689002^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44835027 + ... + 45146714.

Almost surely, 214023114444404 is an apocalyptic number.

It is an amenable number.

14023114444404 is an abundant number, since it is smaller than the sum of its proper divisors (26523018427764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14023114444404 is a wasteful number, since it uses less digits than its factorization.

14023114444404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89981807 (or 89981796 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14023114444404 its reverse (40444441132041), we get a palindrome (54467555576445).

The spelling of 14023114444404 in words is "fourteen trillion, twenty-three billion, one hundred fourteen million, four hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 108 111 117 148 156 162 222 234 324 333 351 444 468 481 666 702 962 999 1053 1332 1404 1443 1924 1998 2106 2886 2997 3996 4212 4329 5772 5994 8658 11988 12987 17316 25974 38961 51948 77922 155844 89981741 179963482 269945223 359926964 539890446 809835669 1079780892 1169762633 1619671338 2339525266 2429507007 3239342676 3329324417 3509287899 4679050532 4859014014 6658648834 7018575798 7288521021 9718028028 9987973251 10527863697 13317297668 14037151596 14577042042 19975946502 21055727394 29154084084 29963919753 31583591091 39951893004 42111454788 43281217421 59927839506 63167182182 86562434842 89891759259 94750773273 119855679012 126334364364 129843652263 173124869684 179783518518 189501546546 259687304526 269675277777 359567037036 379003093092 389530956789 519374609052 539350555554 779061913578 1078701111108 1168592870367 1558123827156 2337185740734 3505778611101 4674371481468 7011557222202 14023114444404