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14110031141300 = 22524348749113723
BaseRepresentation
bin1100110101010011111101…
…1001001101100110110100
31211221220110022221001222002
43031110333121031212310
53322134320433010200
650002020412154432
72654262503542013
oct315247731154664
954856408831862
1014110031141300
114550037805706
1216ba750a68a18
137b4754a35453
1436ad0183aa7a
1519707aae7bd5
hexcd53f64d9b4

14110031141300 has 144 divisors (see below), whose sum is σ = 31461400008192. Its totient is φ = 5489831894400.

The previous prime is 14110031141243. The next prime is 14110031141321. The reversal of 14110031141300 is 314113001141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1028196239 + ... + 1028209961.

Almost surely, 214110031141300 is an apocalyptic number.

14110031141300 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 14110031141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730700004096).

14110031141300 is an abundant number, since it is smaller than the sum of its proper divisors (17351368866892).

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

14110031141300 is a wasteful number, since it uses less digits than its factorization.

14110031141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14758 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 14110031141300 its reverse (314113001141), we get a palindrome (14424144142441).

The spelling of 14110031141300 in words is "fourteen trillion, one hundred ten billion, thirty-one million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 487 491 860 974 982 1075 1948 1964 2150 2435 2455 4300 4870 4910 9740 9820 12175 12275 13723 20941 21113 24350 24550 27446 41882 42226 48700 49100 54892 68615 83764 84452 104705 105565 137230 209410 211130 239117 274460 343075 418820 422260 478234 523525 527825 590089 686150 956468 1047050 1055650 1180178 1195585 1372300 2094100 2111300 2360356 2391170 2950445 4782340 5900890 5977925 6683101 6737993 10282031 11801780 11955850 13366202 13475986 14752225 20564062 23911700 26732404 26951972 29504450 33415505 33689965 41128124 51410155 59008900 66831010 67379930 102820310 133662020 134759860 167077525 168449825 205640620 257050775 287373343 289733699 334155050 336899650 514101550 574746686 579467398 668310100 673799300 1028203100 1149493372 1158934796 1436866715 1448668495 2873733430 2897336990 3281402591 5747466860 5794673980 6562805182 7184333575 7243342475 13125610364 14368667150 14486684950 16407012955 28737334300 28973369900 32814025910 65628051820 82035064775 141100311413 164070129550 282200622826 328140259100 564401245652 705501557065 1411003114130 2822006228260 3527507785325 7055015570650 14110031141300