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14379843832263 = 32713231371177507
BaseRepresentation
bin1101000101000001000101…
…1110111100100111000111
31212220200220001002220122100
43101100101132330213013
53341044410010113023
650330001542403143
73012623635556130
oct321202136744707
955820801086570
1014379843832263
114644503a63918
121742ab07304b3
13804023739300
14379db96d6c87
1519e0bcecdc43
hexd14117bc9c7

14379843832263 has 144 divisors (see below), whose sum is σ = 27250964023296. Its totient is φ = 7141903591680.

The previous prime is 14379843832261. The next prime is 14379843832279. The reversal of 14379843832263 is 36223834897341.

14379843832263 is a `hidden beast` number, since 1 + 4 + 37 + 98 + 438 + 3 + 22 + 63 = 666.

14379843832263 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14379843832263 - 21 = 14379843832261 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 14379843832263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14379843832261) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11623356 + ... + 12800862.

Almost surely, 214379843832263 is an apocalyptic number.

14379843832263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

14379843832263 is a deficient number, since it is larger than the sum of its proper divisors (12871120191033).

14379843832263 is a wasteful number, since it uses less digits than its factorization.

14379843832263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177614 (or 1177598 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 14379843832263 in words is "fourteen trillion, three hundred seventy-nine billion, eight hundred forty-three million, eight hundred thirty-two thousand, two hundred sixty-three".

Divisors: 1 3 7 9 13 21 31 37 39 63 91 93 111 117 169 217 259 273 279 333 403 481 507 651 777 819 1147 1183 1209 1443 1521 1953 2331 2821 3367 3441 3549 3627 4329 5239 6253 8029 8463 10101 10323 10647 14911 15717 18759 24087 25389 30303 36673 43771 44733 47151 56277 72261 104377 110019 131313 134199 193843 313131 330057 393939 581529 939393 1177507 1356901 1744587 3532521 4070703 8242549 10597563 12212109 15307591 24727647 36502717 43567759 45922773 74182941 107153137 109508151 130703277 137768319 198998683 255519019 304974313 321459411 328524453 392109831 474535321 566380867 596996049 766557057 914922939 964378233 1350600529 1392990781 1423605963 1699142601 1790988147 2299671171 2744768817 3321747247 3964666069 4051801587 4178972343 4270817889 5097427803 6168959173 7362951271 9454203703 9965241741 11893998207 12155404761 12536917029 17557806877 18506877519 22088853813 28362611109 29895725223 35681994621 43182714211 51540658897 52673420631 55520632557 66266561439 85087833327 122904648139 129548142633 154621976691 158020261893 228251489401 368713944417 388644427899 463865930073 684754468203 1106141833251 1597760425807 2054263404609 4793281277421 14379843832263