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14323434255040 = 265472095945439
BaseRepresentation
bin1101000001101110111100…
…1101011111001011000000
31212201022021202112111000111
43100123233031133023000
53334133343132130130
650244032253401104
73005556024224251
oct320335715371300
955638252474014
1014323434255040
114622597253609
121733b89199194
137cb903ab7c51
14377387a1cb28
1519c8baa9a02a
hexd06ef35f2c0

14323434255040 has 112 divisors (see below), whose sum is σ = 34835801702400. Its totient is φ = 5607081188352.

The previous prime is 14323434254999. The next prime is 14323434255071. The reversal of 14323434255040 is 4055243432341.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14323434254984 and 14323434255002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315200641 + ... + 315246079.

Almost surely, 214323434255040 is an apocalyptic number.

14323434255040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14323434255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17417900851200).

14323434255040 is an abundant number, since it is smaller than the sum of its proper divisors (20512367447360).

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

14323434255040 is a wasteful number, since it uses less digits than its factorization.

14323434255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66462 (or 66452 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 14323434255040 its reverse (4055243432341), we get a palindrome (18378677687381).

The spelling of 14323434255040 in words is "fourteen trillion, three hundred twenty-three billion, four hundred thirty-four million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 7520 15040 20959 41918 45439 83836 90878 104795 167672 181756 209590 227195 335344 363512 419180 454390 670688 727024 838360 908780 985073 1341376 1454048 1676720 1817560 1970146 2135633 2908096 3353440 3635120 3940292 4271266 4925365 6706880 7270240 7880584 8542532 9850730 10678165 14540480 15761168 17085064 19701460 21356330 31522336 34170128 39402920 42712660 63044672 68340256 78805840 85425320 136680512 157611680 170850640 315223360 341701280 683402560 952356001 1904712002 3809424004 4761780005 7618848008 9523560010 15237696016 19047120020 30475392032 38094240040 44760732047 60950784064 76188480080 89521464094 152376960160 179042928188 223803660235 304753920320 358085856376 447607320470 716171712752 895214640940 1432343425504 1790429281880 2864686851008 3580858563760 7161717127520 14323434255040