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134223232224 = 2537917698211
BaseRepresentation
bin111110100000001010…
…0111111110011100000
3110211110020200200010010
41331000110333303200
54144342121412344
6141354501404520
712461114435514
oct1750024776340
9424406620103
10134223232224
1151a18573aa4
122201b109740
13c870b25c03
1466d432c144
1537589d18b9
hex1f4053fce0

134223232224 has 48 divisors (see below), whose sum is σ = 356795953920. Its totient is φ = 44174732160.

The previous prime is 134223232219. The next prime is 134223232243. The reversal of 134223232224 is 422232322431.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 134223232191 and 134223232200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8841522 + ... + 8856689.

It is an arithmetic number, because the mean of its divisors is an integer number (7433249040).

Almost surely, 2134223232224 is an apocalyptic number.

It is an amenable number.

134223232224 is an abundant number, since it is smaller than the sum of its proper divisors (222572721696).

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

134223232224 is a wasteful number, since it uses less digits than its factorization.

134223232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17698303 (or 17698295 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 134223232224 its reverse (422232322431), we get a palindrome (556455554655).

The spelling of 134223232224 in words is "one hundred thirty-four billion, two hundred twenty-three million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 17698211 35396422 53094633 70792844 106189266 141585688 212378532 283171376 424757064 566342752 849514128 1398158669 1699028256 2796317338 4194476007 5592634676 8388952014 11185269352 16777904028 22370538704 33555808056 44741077408 67111616112 134223232224