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14431183140 = 22351128377263
BaseRepresentation
bin11010111000010101…
…00110000100100100
31101020201211001122110
431130022212010210
5214023340330030
610343554201020
71020422014143
oct153412460444
941221731573
1014431183140
116136032540
122968b83170
13148ca4ab2a
149ac87775a
15596e061b0
hex35c2a6124

14431183140 has 96 divisors (see below), whose sum is σ = 44237039616. Its totient is φ = 3486061440.

The previous prime is 14431183139. The next prime is 14431183141. The reversal of 14431183140 is 4138113441.

It is an interprime number because it is at equal distance from previous prime (14431183139) and next prime (14431183141).

It is a super-3 number, since 3×144311831403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14431183098 and 14431183107.

It is not an unprimeable number, because it can be changed into a prime (14431183141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148149 + ... + 225411.

It is an arithmetic number, because the mean of its divisors is an integer number (460802496).

Almost surely, 214431183140 is an apocalyptic number.

14431183140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431183140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22118519808).

14431183140 is an abundant number, since it is smaller than the sum of its proper divisors (29805856476).

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

14431183140 is a wasteful number, since it uses less digits than its factorization.

14431183140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77569 (or 77567 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 14431183140 its reverse (4138113441), we get a palindrome (18569296581).

The spelling of 14431183140 in words is "fourteen billion, four hundred thirty-one million, one hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 283 330 566 660 849 1132 1415 1698 2830 3113 3396 4245 5660 6226 8490 9339 12452 15565 16980 18678 31130 37356 46695 62260 77263 93390 154526 186780 231789 309052 386315 463578 772630 849893 927156 1158945 1545260 1699786 2317890 2549679 3399572 4249465 4635780 5099358 8498930 10198716 12748395 16997860 21865429 25496790 43730858 50993580 65596287 87461716 109327145 131192574 218654290 240519719 262385148 327981435 437308580 481039438 655962870 721559157 962078876 1202598595 1311925740 1443118314 2405197190 2886236628 3607795785 4810394380 7215591570 14431183140