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13402024035400 = 235272111359316127
BaseRepresentation
bin1100001100000110011011…
…1000011100010001001000
31202110012222002122112212101
43003001212320130101020
53224034321123113100
644300445502523144
72552156435461300
oct303014670342110
952405862575771
1013402024035400
1142a78481a5920
12160549a8964b4
13762a61737c30
14344938d3c600
1518393dade86a
hexc3066e1c448

13402024035400 has 576 divisors, whose sum is σ = 42658349690880. Its totient is φ = 3849185894400.

The previous prime is 13402024035329. The next prime is 13402024035401. The reversal of 13402024035400 is 453042020431.

It is a happy number.

It is a super-2 number, since 2×134020240354002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13402024035401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 831022137 + ... + 831038263.

It is an arithmetic number, because the mean of its divisors is an integer number (74059634880).

Almost surely, 213402024035400 is an apocalyptic number.

13402024035400 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 13402024035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21329174845440).

13402024035400 is an abundant number, since it is smaller than the sum of its proper divisors (29256325655480).

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

13402024035400 is a wasteful number, since it uses less digits than its factorization.

13402024035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16774 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 13402024035400 its reverse (453042020431), we get a palindrome (13855066055831).

The spelling of 13402024035400 in words is "thirteen trillion, four hundred two billion, twenty-four million, thirty-five thousand, four hundred".