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5434130341200 = 243521137109102077
BaseRepresentation
bin100111100010011101101…
…1010001001110101010000
3201020111102212221110202010
41033010323122021311100
51203013044331404300
615320223252222520
71100413546530111
oct117047332116520
921214385843663
105434130341200
111805668a01410
1273920730aa40
133055896c3c72
1414b028756208
159654a663a50
hex4f13b689d50

5434130341200 has 480 divisors, whose sum is σ = 19682173653120. Its totient is φ = 1269988761600.

The previous prime is 5434130341127. The next prime is 5434130341207. The reversal of 5434130341200 is 21430314345.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434130341207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53184562 + ... + 53286638.

It is an arithmetic number, because the mean of its divisors is an integer number (41004528444).

Almost surely, 25434130341200 is an apocalyptic number.

5434130341200 is a gapful number since it is divisible by the number (50) 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 5434130341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841086826560).

5434130341200 is an abundant number, since it is smaller than the sum of its proper divisors (14248043311920).

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

5434130341200 is a wasteful number, since it uses less digits than its factorization.

5434130341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102255 (or 102244 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 5434130341200 its reverse (21430314345), we get a palindrome (5455560655545).

The spelling of 5434130341200 in words is "five trillion, four hundred thirty-four billion, one hundred thirty million, three hundred forty-one thousand, two hundred".