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12443344334421 = 37111337990111311
BaseRepresentation
bin1011010100010011000100…
…0111100110111001010101
31122001120110001122210122120
42311010301013212321111
53112332432122200141
642244220553450153
72423000446456320
oct265046107467125
948046401583576
1012443344334421
113a68213530190
12148b72aa10959
136c352cc16190
143103925897b7
15168a2ec0ec66
hexb51311e6e55

12443344334421 has 128 divisors (see below), whose sum is σ = 22882589786112. Its totient is φ = 5804472960000.

The previous prime is 12443344334401. The next prime is 12443344334453.

12443344334421 is nontrivially palindromic in base 10.

12443344334421 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 12443344334421 - 211 = 12443344332373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443344334401) 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, 1100104356 + ... + 1100115666.

It is an arithmetic number, because the mean of its divisors is an integer number (178770232704).

Almost surely, 212443344334421 is an apocalyptic number.

12443344334421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12443344334421 is a deficient number, since it is larger than the sum of its proper divisors (10439245451691).

12443344334421 is a wasteful number, since it uses less digits than its factorization.

12443344334421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21283.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 1244334 and 4334421, that added together give a palindrome (5578755).

The spelling of 12443344334421 in words is "twelve trillion, four hundred forty-three billion, three hundred forty-four million, three hundred thirty-four thousand, four hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 9901 10101 11311 15873 29703 33933 37037 69307 79177 108911 111111 124421 128713 147043 207921 237531 326733 366337 373263 386139 418507 441129 762377 870947 900991 1029301 1099011 1255521 1415843 1617473 2287131 2564359 2612841 2702973 2929549 3087903 4029707 4247529 4603577 4762381 4852419 5440591 7693077 8788647 9910901 11322311 12089121 13810731 14287143 16321773 28207949 29732703 32225039 33336667 33966933 38084137 52386191 59846501 84623847 96675117 100010001 111990211 114252411 157158573 179539503 335970633 366703337 418925507 783931477 1100110011 1231892321 1256776521 1455872743 2351794431 3695676963 4143637807 4367618229 8623246247 10191109201 12430913421 16014600173 25869738741 29005464649 30573327603 45580015877 48043800519 53867291491 87016393947 112102201211 136740047631 161601874473 319060111139 336306603633 377071040437 592540206401 957180333417 1131213121311 1777620619203 4147781444807 12443344334421