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12014421441 = 31117375367163
BaseRepresentation
bin10110011000001110…
…11000010111000001
31011000022020211211220
423030013120113001
5144101142441231
65304102425253
7603504616521
oct131407302701
934008224756
1012014421441
115105911720
1223b3732229
131196143a19
1481d8d3681
154a4b6d896
hex2cc1d85c1

12014421441 has 128 divisors (see below), whose sum is σ = 19771693056. Its totient is φ = 6404935680.

The previous prime is 12014421431. The next prime is 12014421481. The reversal of 12014421441 is 14412441021.

It is not a de Polignac number, because 12014421441 - 27 = 12014421313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12014421401) 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, 73708026 + ... + 73708188.

It is an arithmetic number, because the mean of its divisors is an integer number (154466352).

Almost surely, 212014421441 is an apocalyptic number.

12014421441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12014421441 is a deficient number, since it is larger than the sum of its proper divisors (7757271615).

12014421441 is a wasteful number, since it uses less digits than its factorization.

12014421441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12014421441 its reverse (14412441021), we get a palindrome (26426862462).

The spelling of 12014421441 in words is "twelve billion, fourteen million, four hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 11 17 33 37 51 53 67 111 159 163 187 201 407 489 561 583 629 737 901 1139 1221 1749 1793 1887 1961 2211 2479 2703 2771 3417 3551 5379 5883 6031 6919 7437 8313 8639 9911 10653 10921 12529 18093 20757 21571 25917 27269 29733 30481 32763 33337 37587 39061 42143 60367 64713 66341 81807 91443 95029 100011 102527 117183 120131 126429 131387 146863 181101 185657 199023 285087 307581 319643 360393 366707 394161 404077 440589 463573 556971 578813 664037 958929 1100121 1127797 1212231 1390719 1445257 1615493 1736439 1992111 2042227 2233579 3383391 3516073 4335771 4444847 4846479 5433931 6126681 6366943 6700737 6869309 9839821 10548219 13334541 16301793 19100829 20607927 21416081 24569369 29519463 59773241 64248243 73708107 75562399 108238031 179319723 226687197 235576891 324714093 364073377 706730673 1092220131 4004807147 12014421441