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14224044332440 = 2355924177332353
BaseRepresentation
bin1100111011111100101100…
…0111000001010110011000
31212100210202002212021122001
43032333023013001112120
53331021320322114230
650130234042410344
72665440035636125
oct316771307012630
955323662767561
1014224044332440
114594424229708
12171886b8009b4
137c24247c1c67
14372639a0974c
1519a0001be0ca
hexcefcb1c1598

14224044332440 has 128 divisors (see below), whose sum is σ = 32724880372800. Its totient is φ = 5562597703680.

The previous prime is 14224044332437. The next prime is 14224044332441. The reversal of 14224044332440 is 4423344042241.

It is a self number, because there is not a number n which added to its sum of digits gives 14224044332440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224044332441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 439635304 + ... + 439667656.

Almost surely, 214224044332440 is an apocalyptic number.

14224044332440 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 14224044332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362440186400).

14224044332440 is an abundant number, since it is smaller than the sum of its proper divisors (18500836040360).

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

14224044332440 is a wasteful number, since it uses less digits than its factorization.

14224044332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33437 (or 33433 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 14224044332440 its reverse (4423344042241), we get a palindrome (18647388374681).

The spelling of 14224044332440 in words is "fourteen trillion, two hundred twenty-four billion, forty-four million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 241 295 472 482 590 773 964 1180 1205 1546 1928 2360 2410 3092 3865 4820 6184 7730 9640 14219 15460 28438 30920 32353 45607 56876 64706 71095 91214 113752 129412 142190 161765 182428 186293 228035 258824 284380 323530 364856 372586 456070 568760 647060 745172 912140 931465 1294120 1490344 1824280 1862930 1908827 3725860 3817654 7451720 7635308 7797073 9544135 10991287 15270616 15594146 19088270 21982574 25008869 31188292 38176540 38985365 43965148 50017738 54956435 62376584 76353080 77970730 87930296 100035476 109912870 125044345 155941460 200070952 219825740 250088690 311882920 439651480 460027307 500177380 920054614 1000354760 1475523271 1840109228 2300136535 2951046542 3680218456 4600273070 5902093084 6027137429 7377616355 9200546140 11804186168 12054274858 14755232710 18401092280 24108549716 29510465420 30135687145 48217099432 59020930840 60271374290 120542748580 241085497160 355601108311 711202216622 1422404433244 1778005541555 2844808866488 3556011083110 7112022166220 14224044332440