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13140442240 = 27543598093
BaseRepresentation
bin11000011110011101…
…10011110010000000
31020220210001121222221
430033032303302000
5203402423122430
610011525140424
7643426626142
oct141716636200
936823047887
1013140442240
115633489822
12266885a714
131315505413
148c9286c92
1551d94457a
hex30f3b3c80

13140442240 has 128 divisors (see below), whose sum is σ = 32693284800. Its totient is φ = 5046300672.

The previous prime is 13140442229. The next prime is 13140442241. The reversal of 13140442240 is 4224404131.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13140442241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1619634 + ... + 1627726.

Almost surely, 213140442240 is an apocalyptic number.

13140442240 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 13140442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346642400).

13140442240 is an abundant number, since it is smaller than the sum of its proper divisors (19552842560).

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

13140442240 is an equidigital number, since it uses as much as digits as its factorization.

13140442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8214 (or 8202 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 13140442240 its reverse (4224404131), we get a palindrome (17364846371).

The spelling of 13140442240 in words is "thirteen billion, one hundred forty million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 59 64 80 86 118 128 160 172 215 236 295 320 344 430 472 590 640 688 860 944 1180 1376 1720 1888 2360 2537 2752 3440 3776 4720 5074 5504 6880 7552 8093 9440 10148 12685 13760 16186 18880 20296 25370 27520 32372 37760 40465 40592 50740 64744 80930 81184 101480 129488 161860 162368 202960 258976 323720 324736 347999 405920 477487 517952 647440 695998 811840 954974 1035904 1294880 1391996 1623680 1739995 1909948 2387435 2589760 2783992 3479990 3819896 4774870 5179520 5567984 6959980 7639792 9549740 11135968 13919960 15279584 19099480 20531941 22271936 27839920 30559168 38198960 41063882 44543872 55679840 61118336 76397920 82127764 102659705 111359680 152795840 164255528 205319410 222719360 305591680 328511056 410638820 657022112 821277640 1314044224 1642555280 2628088448 3285110560 6570221120 13140442240