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1342431042300 = 22325217601145991
BaseRepresentation
bin10011100010001111001…
…000000001101011111100
311202100001022211201211100
4103202033020001223330
5133443244321323200
62504412044053100
7165662456405145
oct23421710015374
94670038751740
101342431042300
1147835a3652a7
12198209534190
139978aa13b6a
1448d8c976acc
1524dbe065d00
hex1388f201afc

1342431042300 has 216 divisors, whose sum is σ = 4462735429152. Its totient is φ = 336360960000.

The previous prime is 1342431042289. The next prime is 1342431042307. The reversal of 1342431042300 is 32401342431.

1342431042300 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 310 + 42 + 300 = 666.

It is a super-2 number, since 2×13424310423002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342431042307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9122305 + ... + 9268295.

It is an arithmetic number, because the mean of its divisors is an integer number (20660812172).

Almost surely, 21342431042300 is an apocalyptic number.

1342431042300 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 1342431042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231367714576).

1342431042300 is an abundant number, since it is smaller than the sum of its proper divisors (3120304386852).

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

1342431042300 is a wasteful number, since it uses less digits than its factorization.

1342431042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146629 (or 146619 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1342431042300 its reverse (32401342431), we get a palindrome (1374832384731).

The spelling of 1342431042300 in words is "one trillion, three hundred forty-two billion, four hundred thirty-one million, forty-two thousand, three hundred".