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14120442030330 = 23254112049317593
BaseRepresentation
bin1100110101111010101111…
…1011100110100011111010
31211222220022212212000212200
43031132223323212203322
53322322131124432310
650010501433451030
72655111500620116
oct315365373464372
954886285760780
1014120442030330
11455449a452729
121700777570a76
137b57238a760c
1436b60c39a746
15197489aba9c0
hexcd7abee68fa

14120442030330 has 96 divisors (see below), whose sum is σ = 37611831675600. Its totient is φ = 3673294479360.

The previous prime is 14120442030313. The next prime is 14120442030353. The reversal of 14120442030330 is 3303024402141.

14120442030330 is a `hidden beast` number, since 1 + 4 + 1 + 204 + 420 + 3 + 0 + 3 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4046337425601 + 10074104604729 = 2011551^2 + 3173973^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14120442030294 and 14120442030303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44302014 + ... + 44619606.

Almost surely, 214120442030330 is an apocalyptic number.

14120442030330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14120442030330 is an abundant number, since it is smaller than the sum of its proper divisors (23491389645270).

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

14120442030330 is a wasteful number, since it uses less digits than its factorization.

14120442030330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329696 (or 329693 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14120442030330 its reverse (3303024402141), we get a palindrome (17423466432471).

The spelling of 14120442030330 in words is "fourteen trillion, one hundred twenty billion, four hundred forty-two million, thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 12049 24098 36147 60245 72294 108441 120490 180735 216882 317593 361470 494009 542205 635186 952779 988018 1084410 1482027 1587965 1905558 2470045 2858337 2964054 3175930 4446081 4763895 4940090 5716674 7410135 8892162 9527790 13021313 14291685 14820270 22230405 26042626 28583370 39063939 44460810 65106565 78127878 117191817 130213130 195319695 234383634 390639390 585959085 1171918170 3826678057 7653356114 11480034171 19133390285 22960068342 34440102513 38266780570 57400170855 68880205026 114800341710 156893800337 172200512565 313787600674 344401025130 470681401011 784469001685 941362802022 1412044203033 1568938003370 2353407005055 2824088406066 4706814010110 7060221015165 14120442030330