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135401340000 = 253542256689
BaseRepresentation
bin111111000011010001…
…1000111110001100000
3110221111100111202011110
41332012203013301200
54204300220340000
6142111424343320
712532241254203
oct1760643076140
9427440452143
10135401340000
1152472587893
12222a9774b40
13c9cac238c4
1467a699d93a
1537c7145850
hex1f868c7c60

135401340000 has 120 divisors (see below), whose sum is σ = 444143672280. Its totient is φ = 36107008000.

The previous prime is 135401339999. The next prime is 135401340047. The reversal of 135401340000 is 43104531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1068345 + ... + 1188344.

It is an arithmetic number, because the mean of its divisors is an integer number (3701197269).

Almost surely, 2135401340000 is an apocalyptic number.

135401340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135401340000 is an abundant number, since it is smaller than the sum of its proper divisors (308742332280).

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

135401340000 is an equidigital number, since it uses as much as digits as its factorization.

135401340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256722 (or 2256699 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 135401340000 its reverse (43104531), we get a palindrome (135444444531).

The spelling of 135401340000 in words is "one hundred thirty-five billion, four hundred one million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 2256689 4513378 6770067 9026756 11283445 13540134 18053512 22566890 27080268 33850335 36107024 45133780 54160536 56417225 67700670 72214048 90267560 108321072 112834450 135401340 169251675 180535120 216642144 225668900 270802680 282086125 338503350 361070240 451337800 541605360 564172250 677006700 846258375 902675600 1083210720 1128344500 1354013400 1410430625 1692516750 1805351200 2256689000 2708026800 2820861250 3385033500 4231291875 4513378000 5416053600 5641722500 6770067000 8462583750 9026756000 11283445000 13540134000 16925167500 22566890000 27080268000 33850335000 45133780000 67700670000 135401340000