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14131220040 = 2333571869209
BaseRepresentation
bin11010010100100100…
…10100111001001000
31100110211101100122000
431022102110321020
5212420043020130
610254121031000
71010120250150
oct151222247110
940424340560
1014131220040
115aa1783853
1228a4625460
131442863a82
14980ab3760
1557a903260
hex34a494e48

14131220040 has 128 divisors (see below), whose sum is σ = 53833248000. Its totient is φ = 3229991424.

The previous prime is 14131220011. The next prime is 14131220041. The reversal of 14131220040 is 4002213141.

14131220040 is a `hidden beast` number, since 1 + 413 + 12 + 200 + 40 = 666.

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 = 14131219995 and 14131220022.

It is not an unprimeable number, because it can be changed into a prime (14131220041) 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, 927045 + ... + 942164.

It is an arithmetic number, because the mean of its divisors is an integer number (420572250).

Almost surely, 214131220040 is an apocalyptic number.

14131220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131220040 is an abundant number, since it is smaller than the sum of its proper divisors (39702027960).

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

14131220040 is a wasteful number, since it uses less digits than its factorization.

14131220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869236 (or 1869226 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14131220040 its reverse (4002213141), we get a palindrome (18133433181).

The spelling of 14131220040 in words is "fourteen billion, one hundred thirty-one million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 1869209 3738418 5607627 7476836 9346045 11215254 13084463 14953672 16822881 18692090 22430508 26168926 28038135 33645762 37384180 39253389 44861016 50468643 52337852 56076270 65422315 67291524 74768360 78506778 84114405 100937286 104675704 112152540 117760167 130844630 134583048 157013556 168228810 196266945 201874572 224305080 235520334 252343215 261689260 314027112 336457620 353280501 392533890 403749144 471040668 504686430 523378520 588800835 672915240 706561002 785067780 942081336 1009372860 1177601670 1413122004 1570135560 1766402505 2018745720 2355203340 2826244008 3532805010 4710406680 7065610020 14131220040