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134034141144240 = 24325186158529367
BaseRepresentation
bin11110011110011101000001…
…010111101110010010110000
3122120120112112202021211000200
4132132131001113232102300
5120032003410113103430
61153022233455115200
740142434652514351
oct3636350127562260
9576515482254020
10134034141144240
113978661845a887
121304886a812b00
1359a34996854cc
14251540391bd28
1510768079d3460
hex79e7415ee4b0

134034141144240 has 60 divisors (see below), whose sum is σ = 450131324011824. Its totient is φ = 35742437638272.

The previous prime is 134034141144227. The next prime is 134034141144251. The reversal of 134034141144240 is 42441141430431.

134034141144240 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 34 + 141 + 1 + 442 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134034141144195 and 134034141144204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93079263964 + ... + 93079265403.

Almost surely, 2134034141144240 is an apocalyptic number.

134034141144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134034141144240 is an abundant number, since it is smaller than the sum of its proper divisors (316097182867584).

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

134034141144240 is a wasteful number, since it uses less digits than its factorization.

134034141144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186158529386 (or 186158529377 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 134034141144240 its reverse (42441141430431), we get a palindrome (176475282574671).

The spelling of 134034141144240 in words is "one hundred thirty-four trillion, thirty-four billion, one hundred forty-one million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 186158529367 372317058734 558475588101 744634117468 930792646835 1116951176202 1489268234936 1675426764303 1861585293670 2233902352404 2792377940505 2978536469872 3350853528606 3723170587340 4467804704808 5584755881010 6701707057212 7446341174680 8377133821515 8935609409616 11169511762020 13403414114424 14892682349360 16754267643030 22339023524040 26806828228848 33508535286060 44678047048080 67017070572120 134034141144240