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14012032241040 = 2435223930018689
BaseRepresentation
bin1100101111100110111000…
…1101000100110110010000
31211121112111121201010111120
43023321232031010312100
53314033120223203130
645445012211442240
72644223135615361
oct313715615046620
954545447633446
1014012032241040
1145125189a8449
1216a37612b6380
137a84379967c2
1436628647db68
151947423db910
hexcbe6e344d90

14012032241040 has 160 divisors (see below), whose sum is σ = 43476184012800. Its totient is φ = 3733198848000.

The previous prime is 14012032241029. The next prime is 14012032241057. The reversal of 14012032241040 is 4014223021041.

14012032241040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14012032241040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612613016 + ... + 1612621704.

It is an arithmetic number, because the mean of its divisors is an integer number (271726150080).

Almost surely, 214012032241040 is an apocalyptic number.

14012032241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012032241040 is an abundant number, since it is smaller than the sum of its proper divisors (29464151771760).

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

14012032241040 is a wasteful number, since it uses less digits than its factorization.

14012032241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13945 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14012032241040 its reverse (4014223021041), we get a palindrome (18026255262081).

The spelling of 14012032241040 in words is "fourteen trillion, twelve billion, thirty-two million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2239 3001 4478 6002 6717 8689 8956 9003 11195 12004 13434 15005 17378 17912 18006 22390 24008 26067 26868 30010 33585 34756 35824 36012 43445 44780 45015 48016 52134 53736 60020 67170 69512 72024 86890 89560 90030 104268 107472 120040 130335 134340 139024 144048 173780 179120 180060 208536 240080 260670 268680 347560 360120 417072 521340 537360 695120 720240 1042680 2085360 6719239 13438478 19454671 20157717 26075689 26876956 33596195 38909342 40315434 52151378 53753912 58364013 67192390 77818684 78227067 80630868 97273355 100788585 104302756 107507824 116728026 130378445 134384780 155637368 156454134 161261736 194546710 201577170 208605512 233456052 260756890 268769560 291820065 311274736 312908268 322523472 389093420 391135335 403154340 417211024 466912104 521513780 537539120 583640130 625816536 778186840 782270670 806308680 933824208 1043027560 1167280260 1251633072 1556373680 1564541340 1612617360 2086055120 2334560520 3129082680 4669121040 6258165360 58383467671 116766935342 175150403013 233533870684 291917338355 350300806026 467067741368 583834676710 700601612052 875752015065 934135482736 1167669353420 1401203224104 1751504030130 2335338706840 2802406448208 3503008060260 4670677413680 7006016120520 14012032241040