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13542112240 = 245616774099
BaseRepresentation
bin11001001110010110…
…00011101111110000
31021221202212120122121
430213023003233300
5210213240042430
610115434244024
7656405024536
oct144713035760
937852776577
1013542112240
11581a1953a8
12275b286614
13137a7acb87
14926764156
15543d37a7a
hex3272c3bf0

13542112240 has 80 divisors (see below), whose sum is σ = 32056653600. Its totient is φ = 5318876160.

The previous prime is 13542112211. The next prime is 13542112267. The reversal of 13542112240 is 4221124531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3301711 + ... + 3305809.

It is an arithmetic number, because the mean of its divisors is an integer number (400708170).

Almost surely, 213542112240 is an apocalyptic number.

13542112240 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 13542112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028326800).

13542112240 is an abundant number, since it is smaller than the sum of its proper divisors (18514541360).

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

13542112240 is a wasteful number, since it uses less digits than its factorization.

13542112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 13542112240 its reverse (4221124531), we get a palindrome (17763236771).

The spelling of 13542112240 in words is "thirteen billion, five hundred forty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 677 976 1220 1354 2440 2708 3385 4099 4880 5416 6770 8198 10832 13540 16396 20495 27080 32792 40990 41297 54160 65584 81980 82594 163960 165188 206485 250039 327920 330376 412970 500078 660752 825940 1000156 1250195 1651880 2000312 2500390 2775023 3303760 4000624 5000780 5550046 10001560 11100092 13875115 20003120 22200184 27750230 44400368 55500460 111000920 169276403 222001840 338552806 677105612 846382015 1354211224 1692764030 2708422448 3385528060 6771056120 13542112240