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14114141132020 = 2256179011464241
BaseRepresentation
bin1100110101100011010001…
…0111100101010011110100
31211222022001202121020022121
43031120310113211103310
53322221230112211040
650003540311405324
72654466401101156
oct315306427452364
954868052536277
1014114141132020
114551856794556
1216bb4b9383844
137b4c5b387c17
1436b1b1622ad6
1519721b847c4a
hexcd6345e54f4

14114141132020 has 48 divisors (see below), whose sum is σ = 30129426499536. Its totient is φ = 5552398080000.

The previous prime is 14114141131973. The next prime is 14114141132101. The reversal of 14114141132020 is 2023114141141.

It can be written as a sum of positive squares in 8 ways, for example, as 5192665102564 + 8921476029456 = 2278742^2 + 2986884^2 .

It is a super-3 number, since 3×141141411320203 (a number of 40 digits) contains 333 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 15 ways as a sum of consecutive naturals, for example, 8907100 + ... + 10371340.

It is an arithmetic number, because the mean of its divisors is an integer number (627696385407).

Almost surely, 214114141132020 is an apocalyptic number.

14114141132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14114141132020 is an abundant number, since it is smaller than the sum of its proper divisors (16015285367516).

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

14114141132020 is a wasteful number, since it uses less digits than its factorization.

14114141132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472212 (or 1472210 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 14114141132020 its reverse (2023114141141), we get a palindrome (16137255273161).

The spelling of 14114141132020 in words is "fourteen trillion, one hundred fourteen billion, one hundred forty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 7901 15802 31604 39505 79010 158020 481961 963922 1464241 1927844 2409805 2928482 4819610 5856964 7321205 9639220 14642410 29284820 89318701 178637402 357274804 446593505 893187010 1786374020 11568968141 23137936282 46275872564 57844840705 115689681410 231379362820 705707056601 1411414113202 2822828226404 3528535283005 7057070566010 14114141132020