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134314241424 = 24311254383033
BaseRepresentation
bin111110100010111000…
…0001010110110010000
3110211200120221102021020
41331011300022312100
54200033421211144
6141411512155440
712463301133456
oct1750560126620
9424616842236
10134314241424
1151a64984610
1222045698b80
13c88693c2cc
14670245c9d6
1537619ac419
hex1f45c0ad90

134314241424 has 40 divisors (see below), whose sum is σ = 378521954592. Its totient is φ = 40701285120.

The previous prime is 134314241401. The next prime is 134314241429. The reversal of 134314241424 is 424142413431.

It is a happy number.

134314241424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134314241429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127190989 + ... + 127192044.

Almost surely, 2134314241424 is an apocalyptic number.

It is an amenable number.

134314241424 is an abundant number, since it is smaller than the sum of its proper divisors (244207713168).

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

134314241424 is a wasteful number, since it uses less digits than its factorization.

134314241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254383055 (or 254383049 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 134314241424 its reverse (424142413431), we get a palindrome (558456654855).

The spelling of 134314241424 in words is "one hundred thirty-four billion, three hundred fourteen million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 254383033 508766066 763149099 1017532132 1526298198 2035064264 2798213363 3052596396 4070128528 5596426726 6105192792 8394640089 11192853452 12210385584 16789280178 22385706904 33578560356 44771413808 67157120712 134314241424