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14035245223220 = 225131131873255053
BaseRepresentation
bin1100110000111101010111…
…0011100100110100110100
31211200202102101000210201022
43030033111303210310310
53314423140234120340
645503411434320312
72646004313662304
oct314172563446464
954622371023638
1014035245223220
114521350037541
1216a815b289098
137aa696c07010
1436744936d604
1519515026c3b5
hexcc3d5ce4d34

14035245223220 has 96 divisors (see below), whose sum is σ = 32039365210272. Its totient is φ = 5133621362688.

The previous prime is 14035245223199. The next prime is 14035245223283. The reversal of 14035245223220 is 2232254253041.

It can be written as a sum of positive squares in 16 ways, for example, as 12484378488976 + 1550866734244 = 3533324^2 + 1245338^2 .

It is a congruent number.

It is an unprimeable number.

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, 54901214 + ... + 55156266.

It is an arithmetic number, because the mean of its divisors is an integer number (333743387607).

Almost surely, 214035245223220 is an apocalyptic number.

14035245223220 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 14035245223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019682605136).

14035245223220 is an abundant number, since it is smaller than the sum of its proper divisors (18004119987052).

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

14035245223220 is a wasteful number, since it uses less digits than its factorization.

14035245223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257061 (or 257059 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 14035245223220 its reverse (2232254253041), we get a palindrome (16267499476261).

The spelling of 14035245223220 in words is "fourteen trillion, thirty-five billion, two hundred forty-five million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 1873 2260 2938 3746 5876 7345 7492 9365 14690 18730 24349 29380 37460 48698 97396 121745 211649 243490 255053 423298 486980 510106 846596 1020212 1058245 1275265 2116490 2550530 2751437 3315689 4232980 5101060 5502874 6631378 11005748 13262756 13757185 16578445 27514370 28820989 33156890 55028740 57641978 66313780 115283956 144104945 288209890 374672857 477714269 576419780 749345714 955428538 1498691428 1873364285 1910857076 2388571345 3746728570 4777142690 6210285497 7493457140 9554285380 12420570994 24841141988 31051427485 53981712397 62102854970 107963424794 124205709940 215926849588 269908561985 539817123970 701762261161 1079634247940 1403524522322 2807049044644 3508811305805 7017622611610 14035245223220