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13440131403400 = 2352137172806779
BaseRepresentation
bin1100001110010100011001…
…0000100000111010001000
31202120212022212101102100101
43003211012100200322020
53230200342114402100
644330151112015144
72555005661660452
oct303450620407210
952525285342311
1013440131403400
114311a22880489
1216109549914b4
137665256664b0
14346711ddd2d2
1518491e37186a
hexc3946420e88

13440131403400 has 96 divisors (see below), whose sum is σ = 34125993921600. Its totient is φ = 4892615481600.

The previous prime is 13440131403397. The next prime is 13440131403401. The reversal of 13440131403400 is 430413104431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13440131403401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36218790 + ... + 36587989.

It is an arithmetic number, because the mean of its divisors is an integer number (355479103350).

Almost surely, 213440131403400 is an apocalyptic number.

13440131403400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440131403400 is an abundant number, since it is smaller than the sum of its proper divisors (20685862518200).

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

13440131403400 is a wasteful number, since it uses less digits than its factorization.

13440131403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72806879 (or 72806870 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13440131403400 its reverse (430413104431), we get a palindrome (13870544507831).

The spelling of 13440131403400 in words is "thirteen trillion, four hundred forty billion, one hundred thirty-one million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 71 100 104 130 142 200 260 284 325 355 520 568 650 710 923 1300 1420 1775 1846 2600 2840 3550 3692 4615 7100 7384 9230 14200 18460 23075 36920 46150 92300 184600 72806779 145613558 291227116 364033895 582454232 728067790 946488127 1456135580 1820169475 1892976254 2912271160 3640338950 3785952508 4732440635 5169281309 7280677900 7571905016 9464881270 10338562618 14561355800 18929762540 20677125236 23662203175 25846406545 37859525080 41354250472 47324406350 51692813090 67200657017 94648812700 103385626180 129232032725 134401314034 189297625400 206771252360 258464065450 268802628068 336003285085 516928130900 537605256136 672006570170 1033856261800 1344013140340 1680016425425 2688026280680 3360032850850 6720065701700 13440131403400