Search a number
-
+
135041410040 = 2356469521879
BaseRepresentation
bin111110111000100011…
…0000110001111111000
3110220120021020102002012
41331301012012033320
54203031100110130
6142012010025052
712520311021545
oct1756106061770
9426507212065
10135041410040
11522a83a0109
1222209118188
13c9714a19b4
146770c69bcc
1537a5749995
hex1f711863f8

135041410040 has 32 divisors (see below), whose sum is σ = 303890724000. Its totient is φ = 54008110464.

The previous prime is 135041410033. The next prime is 135041410109. The reversal of 135041410040 is 40014140531.

It is a junction number, because it is equal to n+sod(n) for n = 135041409988 and 135041410015.

It is a congruent number.

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, 2180 + ... + 519699.

It is an arithmetic number, because the mean of its divisors is an integer number (9496585125).

Almost surely, 2135041410040 is an apocalyptic number.

135041410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135041410040 is an abundant number, since it is smaller than the sum of its proper divisors (168849313960).

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

135041410040 is a wasteful number, since it uses less digits than its factorization.

135041410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528359 (or 528355 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 135041410040 its reverse (40014140531), we get a palindrome (175055550571).

The spelling of 135041410040 in words is "one hundred thirty-five billion, forty-one million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6469 12938 25876 32345 51752 64690 129380 258760 521879 1043758 2087516 2609395 4175032 5218790 10437580 20875160 3376035251 6752070502 13504141004 16880176255 27008282008 33760352510 67520705020 135041410040