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134414202420 = 223251097368053
BaseRepresentation
bin111110100101110110…
…1011111011000110100
3110211221120000221222100
41331023231133120310
54200240013434140
6141425442502100
712465623604111
oct1751355373064
9424846027870
10134414202420
1152006349803
1222073064930
13c8a156b124
14671183d908
15376a655530
hex1f4bb5f634

134414202420 has 72 divisors (see below), whose sum is σ = 407766229416. Its totient is φ = 35839994112.

The previous prime is 134414202367. The next prime is 134414202427. The reversal of 134414202420 is 24202414431.

134414202420 is a `hidden beast` number, since 1 + 3 + 4 + 414 + 2 + 0 + 242 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4956723216 + 129457479204 = 70404^2 + 359802^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134414202427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1941114 + ... + 2009166.

It is an arithmetic number, because the mean of its divisors is an integer number (5663419853).

Almost surely, 2134414202420 is an apocalyptic number.

134414202420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134414202420 is an abundant number, since it is smaller than the sum of its proper divisors (273352026996).

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

134414202420 is a wasteful number, since it uses less digits than its factorization.

134414202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79041 (or 79036 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 134414202420 its reverse (24202414431), we get a palindrome (158616616851).

The spelling of 134414202420 in words is "one hundred thirty-four billion, four hundred fourteen million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10973 21946 32919 43892 54865 65838 68053 98757 109730 131676 136106 164595 197514 204159 219460 272212 329190 340265 395028 408318 493785 612477 658380 680530 816636 987570 1020795 1224954 1361060 1975140 2041590 2449908 3062385 4083180 6124770 12249540 746745569 1493491138 2240236707 2986982276 3733727845 4480473414 6720710121 7467455690 8960946828 11201183535 13441420242 14934911380 22402367070 26882840484 33603550605 44804734140 67207101210 134414202420