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14010242300 = 22521731833203
BaseRepresentation
bin11010000110001001…
…10101010011111100
31100011101202001100222
431003010311103330
5212143110223200
610234120040512
71004121044315
oct150304652374
940141661328
1014010242300
115a3a46444a
122870003138
131423786b02
1496c9c160c
1556eea7d85
hex3431354fc

14010242300 has 144 divisors (see below), whose sum is σ = 33639846912. Its totient is φ = 5041228800.

The previous prime is 14010242299. The next prime is 14010242303. The reversal of 14010242300 is 324201041.

14010242300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14010242303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4372499 + ... + 4375701.

It is an arithmetic number, because the mean of its divisors is an integer number (233610048).

Almost surely, 214010242300 is an apocalyptic number.

14010242300 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 14010242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819923456).

14010242300 is an abundant number, since it is smaller than the sum of its proper divisors (19629604612).

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

14010242300 is a wasteful number, since it uses less digits than its factorization.

14010242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 14010242300 its reverse (324201041), we get a palindrome (14334443341).

The spelling of 14010242300 in words is "fourteen billion, ten million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 83 85 100 124 155 166 170 310 332 340 415 425 527 620 775 830 850 1054 1411 1550 1660 1700 2075 2108 2573 2635 2822 3100 3203 4150 5146 5270 5644 6406 7055 8300 10292 10540 12812 12865 13175 14110 16015 25730 26350 28220 32030 35275 43741 51460 52700 54451 64060 64325 70550 80075 87482 99293 108902 128650 141100 160150 174964 198586 217804 218705 257300 265849 272255 320300 397172 437410 496465 531698 544510 874820 992930 1063396 1089020 1093525 1329245 1361275 1687981 1985860 2187050 2482325 2658490 2722550 3375962 4374100 4519433 4964650 5316980 5445100 6646225 6751924 8241319 8439905 9038866 9929300 13292450 16482638 16879810 18077732 22597165 26584900 32965276 33759620 41206595 42199525 45194330 82413190 84399050 90388660 112985825 140102423 164826380 168798100 206032975 225971650 280204846 412065950 451943300 560409692 700512115 824131900 1401024230 2802048460 3502560575 7005121150 14010242300