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334552103040000 = 2103541131541999
BaseRepresentation
bin100110000010001011111101…
…1010000101011010000000000
31121212112212110021121102200010
41030010113323100223100000
5322322300201334240000
63143311040413424520
7130316406663452556
oct11404277320532000
91555485407542603
10334552103040000
119766482845777a
123163253249b140
131148a188140a31
145c885a00b3bd6
1528a2704533d50
hex13045fb42b400

334552103040000 has 440 divisors, whose sum is σ = 1124134024464000. Its totient is φ = 88424333312000.

The previous prime is 334552103039993. The next prime is 334552103040013. The reversal of 334552103040000 is 40301255433.

It is a super-2 number, since 2×3345521030400002 (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 334552103040000.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 216189001 + ... + 217730999.

It is an arithmetic number, because the mean of its divisors is an integer number (2554850055600).

Almost surely, 2334552103040000 is an apocalyptic number.

334552103040000 is a gapful number since it is divisible by the number (30) 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 334552103040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562067012232000).

334552103040000 is an abundant number, since it is smaller than the sum of its proper divisors (789581921424000).

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

334552103040000 is a wasteful number, since it uses less digits than its factorization.

334552103040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542155 (or 1542122 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 334552103040000 its reverse (40301255433), we get a palindrome (334592404295433).

The spelling of 334552103040000 in words is "three hundred thirty-four trillion, five hundred fifty-two billion, one hundred three million, forty thousand".