Search a number
-
+
134144220040 = 23529115641569
BaseRepresentation
bin111110011101110011…
…1100101101110001000
3110211020202000102202221
41330323213211232020
54144211410020130
6141343000103424
712456135025345
oct1747347455610
9424222012687
10134144220040
1151987a07a76
1221bb8764b74
13c85a65033c
1466c7a417cc
153751ac587a
hex1f3b9e5b88

134144220040 has 32 divisors (see below), whose sum is σ = 312232239000. Its totient is φ = 51807422464.

The previous prime is 134144220037. The next prime is 134144220103. The reversal of 134144220040 is 40022441431.

It can be written as a sum of positive squares in 4 ways, for example, as 123761832804 + 10382387236 = 351798^2 + 101894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 134144219987 and 134144220014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57819625 + ... + 57821944.

Almost surely, 2134144220040 is an apocalyptic number.

134144220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134144220040 is an abundant number, since it is smaller than the sum of its proper divisors (178088018960).

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

134144220040 is a wasteful number, since it uses less digits than its factorization.

134144220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115641609 (or 115641605 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 134144220040 its reverse (40022441431), we get a palindrome (174166661471).

The spelling of 134144220040 in words is "one hundred thirty-four billion, one hundred forty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 115641569 231283138 462566276 578207845 925132552 1156415690 2312831380 3353605501 4625662760 6707211002 13414422004 16768027505 26828844008 33536055010 67072110020 134144220040