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14144221243100 = 22521317640010011
BaseRepresentation
bin1100110111010011010101…
…0010000110011011011100
31212002011201002122012102202
43031310311102012123130
53323214331114234400
650025433204511032
72656612662605054
oct315646522063334
955064632565382
1014144221243100
114563592175193
1217052b30ab478
137b7a4321bb10
1436c826562564
15197dcc4e84d5
hexcdd354866dc

14144221243100 has 72 divisors (see below), whose sum is σ = 34998307496208. Its totient is φ = 4915276876800.

The previous prime is 14144221243099. The next prime is 14144221243127. The reversal of 14144221243100 is 134212244141.

It is a super-2 number, since 2×141442212431002 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 319982906 + ... + 320027105.

It is an arithmetic number, because the mean of its divisors is an integer number (486087604114).

Almost surely, 214144221243100 is an apocalyptic number.

14144221243100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144221243100 is an abundant number, since it is smaller than the sum of its proper divisors (20854086253108).

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

14144221243100 is a wasteful number, since it uses less digits than its factorization.

14144221243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640010055 (or 640010048 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 14144221243100 its reverse (134212244141), we get a palindrome (14278433487241).

The spelling of 14144221243100 in words is "fourteen trillion, one hundred forty-four billion, two hundred twenty-one million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 640010011 1280020022 2560040044 3200050055 6400100110 8320130143 10880170187 12800200220 16000250275 16640260286 21760340374 32000500550 33280520572 41600650715 43520680748 54400850935 64001001100 83201301430 108801701870 141442212431 166402602860 208003253575 217603403740 272004254675 282884424862 416006507150 544008509350 565768849724 707211062155 832013014300 1088017018700 1414422124310 2828844248620 3536055310775 7072110621550 14144221243100