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14141221020 = 22325312534269
BaseRepresentation
bin11010010101110000…
…11110100010011100
31100111112012110101200
431022320132202130
5212430123033040
610255115235500
71010301252423
oct151270364234
940445173350
1014141221020
115aa7394723
1228a7a48b90
131444955c04
149821582ba
1557b72b630
hex34ae1e89c

14141221020 has 72 divisors (see below), whose sum is σ = 44278765440. Its totient is φ = 3649345920.

The previous prime is 14141221001. The next prime is 14141221063. The reversal of 14141221020 is 2012214141.

14141221020 is a `hidden beast` number, since 1 + 41 + 412 + 210 + 2 + 0 = 666.

14141221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14141220984 and 14141221002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261555 + ... + 1272714.

Almost surely, 214141221020 is an apocalyptic number.

14141221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141221020 is an abundant number, since it is smaller than the sum of its proper divisors (30137544420).

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

14141221020 is a wasteful number, since it uses less digits than its factorization.

14141221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534315 (or 2534310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14141221020 its reverse (2012214141), we get a palindrome (16153435161).

The spelling of 14141221020 in words is "fourteen billion, one hundred forty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 2534269 5068538 7602807 10137076 12671345 15205614 22808421 25342690 30411228 38014035 45616842 50685380 76028070 78562339 91233684 114042105 152056140 157124678 228084210 235687017 314249356 392811695 456168420 471374034 707061051 785623390 942748068 1178435085 1414122102 1571246780 2356870170 2828244204 3535305255 4713740340 7070610510 14141221020