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14045014224 = 2433137307773
BaseRepresentation
bin11010001010010010…
…11110100011010000
31100020211011122111000
431011021132203100
5212231010423344
610241401222000
71005022436223
oct150511364320
940224148430
1014045014224
115a5805407a
12287b791900
13142aa3cb07
149734735ba
15573075a69
hex34525e8d0

14045014224 has 160 divisors (see below), whose sum is σ = 40793639040. Its totient is φ = 4626367488.

The previous prime is 14045014211. The next prime is 14045014231. The reversal of 14045014224 is 42241054041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18169102 + ... + 18169874.

It is an arithmetic number, because the mean of its divisors is an integer number (254960244).

Almost surely, 214045014224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14045014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20396819520).

14045014224 is an abundant number, since it is smaller than the sum of its proper divisors (26748624816).

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

14045014224 is a wasteful number, since it uses less digits than its factorization.

14045014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14045014224 its reverse (42241054041), we get a palindrome (56286068265).

The spelling of 14045014224 in words is "fourteen billion, forty-five million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 307 411 432 548 614 773 822 921 1096 1228 1233 1546 1644 1842 2192 2319 2456 2466 2763 3092 3288 3684 3699 4638 4912 4932 5526 6184 6576 6957 7368 7398 8289 9276 9864 11052 12368 13914 14736 14796 16578 18552 19728 20871 22104 27828 29592 33156 37104 41742 42059 44208 55656 59184 66312 83484 84118 105901 111312 126177 132624 166968 168236 211802 237311 252354 317703 333936 336472 378531 423604 474622 504708 635406 672944 711933 757062 847208 949244 953109 1009416 1135593 1270812 1423866 1514124 1694416 1898488 1906218 2018832 2135799 2271186 2541624 2847732 2859327 3028248 3796976 3812436 4271598 4542372 5083248 5695464 5718654 6056496 6407397 7624872 8543196 9084744 11390928 11437308 12814794 15249744 17086392 18169488 22874616 25629588 32511607 34172784 45749232 51259176 65023214 97534821 102518352 130046428 195069642 260092856 292604463 390139284 520185712 585208926 780278568 877813389 1170417852 1560557136 1755626778 2340835704 3511253556 4681671408 7022507112 14045014224