Search a number
-
+
13530040000 = 2654338251
BaseRepresentation
bin11001001100111010…
…00000011011000000
31021220221011020122121
430212131000123000
5210202142240000
610114323414024
7656200304521
oct144635003300
937827136577
1013530040000
11581339a344
122757224314
131378144039
14924d00848
15542c50b1a
hex3267406c0

13530040000 has 70 divisors (see below), whose sum is σ = 33550201124. Its totient is φ = 5412000000.

The previous prime is 13530039989. The next prime is 13530040003. The reversal of 13530040000 is 4003531.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13530040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 129126 + ... + 209125.

Almost surely, 213530040000 is an apocalyptic number.

13530040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530040000 is an abundant number, since it is smaller than the sum of its proper divisors (20020161124).

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

13530040000 is an frugal number, since it uses more digits than its factorization.

13530040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338283 (or 338258 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 13530040000 its reverse (4003531), we get a palindrome (13534043531).

The spelling of 13530040000 in words is "thirteen billion, five hundred thirty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 338251 676502 1353004 1691255 2706008 3382510 5412016 6765020 8456275 10824032 13530040 16912550 21648064 27060080 33825100 42281375 54120160 67650200 84562750 108240320 135300400 169125500 211406875 270600800 338251000 422813750 541201600 676502000 845627500 1353004000 1691255000 2706008000 3382510000 6765020000 13530040000