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13412502000040 = 23511132315818469
BaseRepresentation
bin1100001100101101011101…
…1010101101000110101000
31202111020000022210022012211
43003023113122231012220
53224222301003000130
644305341322014504
72553010205633203
oct303132732550650
952436008708184
1013412502000040
114301234796830
121607523947434
13763a41463800
1434525075c93a
15183d53911a2a
hexc32d76ad1a8

13412502000040 has 192 divisors, whose sum is σ = 36798797145600. Its totient is φ = 4356868838400.

The previous prime is 13412501999969. The next prime is 13412502000041. The reversal of 13412502000040 is 4000020521431.

13412502000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13412501999975 and 13412502000020.

It is not an unprimeable number, because it can be changed into a prime (13412502000041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604075 + ... + 5214394.

It is an arithmetic number, because the mean of its divisors is an integer number (191660401800).

Almost surely, 213412502000040 is an apocalyptic number.

13412502000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412502000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399398572800).

13412502000040 is an abundant number, since it is smaller than the sum of its proper divisors (23386295145560).

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

13412502000040 is a wasteful number, since it uses less digits than its factorization.

13412502000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818548 (or 5818531 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 13412502000040 its reverse (4000020521431), we get a palindrome (17412522521471).

The spelling of 13412502000040 in words is "thirteen trillion, four hundred twelve billion, five hundred two million, forty", and thus it is an aban number.