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14300121340300 = 22522328374329569
BaseRepresentation
bin1101000000011000000110…
…1001110001100110001100
31212122002010001011201002211
43100012001221301212030
53333243122030342200
650225215101000204
73004102223555635
oct320060151614614
955562101151084
1014300121340300
114613713769724
12172b561853064
137c9659c58843
143761b575888c
1519bea4079aba
hexd0181a7198c

14300121340300 has 144 divisors (see below), whose sum is σ = 32539702325760. Its totient is φ = 5444495400960.

The previous prime is 14300121340259. The next prime is 14300121340313. The reversal of 14300121340300 is 304312100341.

It is an unprimeable number.

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, 483603916 + ... + 483633484.

It is an arithmetic number, because the mean of its divisors is an integer number (225970155040).

Almost surely, 214300121340300 is an apocalyptic number.

14300121340300 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 14300121340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269851162880).

14300121340300 is an abundant number, since it is smaller than the sum of its proper divisors (18239580985460).

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

14300121340300 is a wasteful number, since it uses less digits than its factorization.

14300121340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30632 (or 30625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 14300121340300 its reverse (304312100341), we get a palindrome (14604433440641).

The spelling of 14300121340300 in words is "fourteen trillion, three hundred billion, one hundred twenty-one million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 283 460 566 575 743 1132 1150 1415 1486 2300 2830 2972 3715 5660 6509 7075 7430 13018 14150 14860 17089 18575 26036 28300 29569 32545 34178 37150 59138 65090 68356 74300 85445 118276 130180 147845 162725 170890 210269 295690 325450 341780 420538 427225 591380 650900 680087 739225 841076 854450 1051345 1360174 1478450 1708900 2102690 2720348 2956900 3400435 4205380 4836187 5256725 6800870 8368027 9672374 10513450 13601740 16736054 17002175 19344748 21026900 21969767 24180935 33472108 34004350 41840135 43939534 48361870 68008700 83680270 87879068 96723740 109848835 120904675 167360540 192464621 209200675 219697670 241809350 384929242 418401350 439395340 483618700 505304641 549244175 769858484 836802700 962323105 1010609282 1098488350 1924646210 2021218564 2196976700 2526523205 3849292420 4811615525 5053046410 6217444061 9623231050 10106092820 12434888122 12632616025 19246462100 24869776244 25265232050 31087220305 50530464100 62174440610 124348881220 143001213403 155436101525 286002426806 310872203050 572004853612 621744406100 715006067015 1430012134030 2860024268060 3575030335075 7150060670150 14300121340300