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14121142104 = 2334722954667
BaseRepresentation
bin11010010011010111…
…11000011101011000
31100110010102100022010
431021223320131120
5212410003021404
610253121025520
71006635504336
oct151153703530
940403370263
1014121142104
115a97020083
1228a11852a0
1314407458b4
1497d60cb56
15579ab2189
hex349af8758

14121142104 has 64 divisors (see below), whose sum is σ = 36212083200. Its totient is φ = 4586696064.

The previous prime is 14121142099. The next prime is 14121142109. The reversal of 14121142104 is 40124112141.

It is an interprime number because it is at equal distance from previous prime (14121142099) and next prime (14121142109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121142109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230979 + ... + 285645.

It is an arithmetic number, because the mean of its divisors is an integer number (565813800).

Almost surely, 214121142104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18106041600).

14121142104 is an abundant number, since it is smaller than the sum of its proper divisors (22090941096).

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

14121142104 is a wasteful number, since it uses less digits than its factorization.

14121142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54952 (or 54948 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 14121142104 its reverse (40124112141), we get a palindrome (54245254245).

It can be divided in two parts, 141211 and 42104, that added together give a triangular number (183315 = T605).

The spelling of 14121142104 in words is "fourteen billion, one hundred twenty-one million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 229 282 376 458 564 687 916 1128 1374 1832 2748 5496 10763 21526 32289 43052 54667 64578 86104 109334 129156 164001 218668 258312 328002 437336 656004 1312008 2569349 5138698 7708047 10277396 12518743 15416094 20554792 25037486 30832188 37556229 50074972 61664376 75112458 100149944 150224916 300449832 588380921 1176761842 1765142763 2353523684 3530285526 4707047368 7060571052 14121142104