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14145450102200 = 23521913727171437
BaseRepresentation
bin1100110111010111111010…
…0001110100110110111000
31212002021212201221201012202
43031311332201310312320
53323224340211232300
650030155143325332
72656655304000464
oct315657641646670
955067781851182
1014145450102200
1145640628a221a
121705596750848
137b7baa9a8b91
1436c9018454a4
15197e50334ad5
hexcdd7e874db8

14145450102200 has 96 divisors (see below), whose sum is σ = 34871823529200. Its totient is φ = 5321254026240.

The previous prime is 14145450102169. The next prime is 14145450102233. The reversal of 14145450102200 is 220105454141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13065119 + ... + 14106318.

Almost surely, 214145450102200 is an apocalyptic number.

14145450102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14145450102200 is an abundant number, since it is smaller than the sum of its proper divisors (20726373427000).

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

14145450102200 is a wasteful number, since it uses less digits than its factorization.

14145450102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27171609 (or 27171600 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 14145450102200 its reverse (220105454141), we get a palindrome (14365555556341).

The spelling of 14145450102200 in words is "fourteen trillion, one hundred forty-five billion, four hundred fifty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 137 152 190 200 274 380 475 548 685 760 950 1096 1370 1900 2603 2740 3425 3800 5206 5480 6850 10412 13015 13700 20824 26030 27400 52060 65075 104120 130150 260300 520600 27171437 54342874 108685748 135857185 217371496 271714370 516257303 543428740 679285925 1032514606 1086857480 1358571850 2065029212 2581286515 2717143700 3722486869 4130058424 5162573030 5434287400 7444973738 10325146060 12906432575 14889947476 18612434345 20650292120 25812865150 29779894952 37224868690 51625730300 70727250511 74449737380 93062171725 103251460600 141454501022 148899474760 186124343450 282909002044 353636252555 372248686900 565818004088 707272505110 744497373800 1414545010220 1768181262775 2829090020440 3536362525550 7072725051100 14145450102200