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14084234457321 = 3729373078812311
BaseRepresentation
bin1100110011110011110111…
…0010101011000011101001
31211212102212111220202012010
43030330331302223003221
53321224003010113241
645542112531510133
72652360313414560
oct314747562530351
954772774822163
1014084234457321
1145400aa1a3176
1216b5751758349
137b21a343a4c2
1436997574cbd7
1519656b005d16
hexccf3dcab0e9

14084234457321 has 128 divisors (see below), whose sum is σ = 22911945154560. Its totient is φ = 7524157132800.

The previous prime is 14084234457203. The next prime is 14084234457323. The reversal of 14084234457321 is 12375443248041.

It is a happy number.

It is not a de Polignac number, because 14084234457321 - 215 = 14084234424553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14084234457323) 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, 6094431756 + ... + 6094434066.

It is an arithmetic number, because the mean of its divisors is an integer number (178999571520).

Almost surely, 214084234457321 is an apocalyptic number.

It is an amenable number.

14084234457321 is a deficient number, since it is larger than the sum of its proper divisors (8827710697239).

14084234457321 is a wasteful number, since it uses less digits than its factorization.

14084234457321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575.

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 14084234457321 in words is "fourteen trillion, eighty-four billion, two hundred thirty-four million, four hundred fifty-seven thousand, three hundred twenty-one".

Divisors: 1 3 7 21 29 37 87 111 203 259 307 609 777 881 921 1073 2149 2311 2643 3219 6167 6447 6933 7511 8903 11359 16177 18501 22533 25549 26709 32597 34077 48531 62321 67019 76647 79513 85507 97791 178843 186963 201057 228179 238539 256521 270467 329411 469133 536529 598549 684537 709477 811401 945313 988233 1407399 1795647 1893269 2035991 2128431 2305877 2479703 2835939 4966339 5679807 6107973 6617191 6917631 7439109 7843543 10007279 14251937 14899017 17357921 19851573 20574833 23530629 26250649 30021837 42755811 52073763 54904801 59043739 61724499 70050953 75331667 78751947 144023831 164714403 177131217 183754543 210152859 225995001 290211091 413306173 432071493 527321669 551263629 625049237 761268821 870633273 1239918519 1581965007 1875147711 2031477637 2184618343 2283806463 4375344659 5328881747 6094432911 6553855029 13126033977 15292328401 15986645241 18126427873 23126821769 45876985203 54379283619 69380465307 126884995111 161887752383 380654985333 485663257149 670677831301 2012033493903 4694744819107 14084234457321