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13430200040 = 235335755001
BaseRepresentation
bin11001000001000000…
…01001011011101000
31021122222021211222022
430200200021123220
5210001112400130
610100355444012
7653545550105
oct144040113350
937588254868
1013430200040
115771aa8084
1227298b6608
13136055833a
14915951aac
155390cd7e5
hex3208096e8

13430200040 has 16 divisors (see below), whose sum is σ = 30217950180. Its totient is φ = 5372080000.

The previous prime is 13430200001. The next prime is 13430200057. The reversal of 13430200040 is 4000203431.

It can be written as a sum of positive squares in 2 ways, for example, as 13018353604 + 411846436 = 114098^2 + 20294^2 .

It is a super-2 number, since 2×134302000402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13430199991 and 13430200018.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167877461 + ... + 167877540.

Almost surely, 213430200040 is an apocalyptic number.

13430200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13430200040 is an abundant number, since it is smaller than the sum of its proper divisors (16787750140).

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

13430200040 is a wasteful number, since it uses less digits than its factorization.

13430200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335755012 (or 335755008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 13430200040 its reverse (4000203431), we get a palindrome (17430403471).

The spelling of 13430200040 in words is "thirteen billion, four hundred thirty million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 335755001 671510002 1343020004 1678775005 2686040008 3357550010 6715100020 13430200040