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14042032031440 = 245728189235079
BaseRepresentation
bin1100110001010110101001…
…0101001100011011010000
31211201101221100121101100201
43030111222111030123100
53320031040200001230
645510453115224544
72646334433622220
oct314255225143320
954641840541321
1014042032031440
114524213008a56
1216a9534148154
137ab208cb737a
143678d0872080
151953eaec35ca
hexcc56a54c6d0

14042032031440 has 80 divisors (see below), whose sum is σ = 37444467329280. Its totient is φ = 4797277793280.

The previous prime is 14042032031431. The next prime is 14042032031539. The reversal of 14042032031440 is 4413023024041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14042032031399 and 14042032031408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44460180 + ... + 44774899.

It is an arithmetic number, because the mean of its divisors is an integer number (468055841616).

Almost surely, 214042032031440 is an apocalyptic number.

14042032031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042032031440 is an abundant number, since it is smaller than the sum of its proper divisors (23402435297840).

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

14042032031440 is a wasteful number, since it uses less digits than its factorization.

14042032031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89235380 (or 89235374 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14042032031440 its reverse (4413023024041), we get a palindrome (18455055055481).

The spelling of 14042032031440 in words is "fourteen trillion, forty-two billion, thirty-two million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 281 560 562 1124 1405 1967 2248 2810 3934 4496 5620 7868 9835 11240 15736 19670 22480 31472 39340 78680 157360 89235079 178470158 356940316 446175395 624645553 713880632 892350790 1249291106 1427761264 1784701580 2498582212 3123227765 3569403160 4997164424 6246455530 7138806320 9994328848 12492911060 24985822120 25075057199 49971644240 50150114398 100300228796 125375285995 175525400393 200600457592 250750571990 351050800786 401200915184 501501143980 702101601572 877627001965 1003002287960 1404203203144 1755254003930 2006004575920 2808406406288 3510508007860 7021016015720 14042032031440