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2141231334000 = 2435311191707521
BaseRepresentation
bin11111001010001011010…
…101010100001001110000
321120200220002111222102020
4133022023111110021300
5240040220210142000
64315400150351440
7310461465015303
oct37121325241160
97520802458366
102141231334000
117561002a2430
122a6b9a05b580
13126bc026ba65
14758c9846b3a
153aa71d78ba0
hex1f28b554270

2141231334000 has 320 divisors, whose sum is σ = 7927273336320. Its totient is φ = 491765760000.

The previous prime is 2141231333987. The next prime is 2141231334007. The reversal of 2141231334000 is 4331321412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141231334007) 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 63 ways as a sum of consecutive naturals, for example, 400240 + ... + 2107760.

It is an arithmetic number, because the mean of its divisors is an integer number (24772729176).

Almost surely, 22141231334000 is an apocalyptic number.

2141231334000 is a gapful number since it is divisible by the number (20) 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 2141231334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963636668160).

2141231334000 is an abundant number, since it is smaller than the sum of its proper divisors (5786042002320).

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

2141231334000 is a wasteful number, since it uses less digits than its factorization.

2141231334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707577 (or 1707561 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2141231334000 its reverse (4331321412), we get a palindrome (2145562655412).

The spelling of 2141231334000 in words is "two trillion, one hundred forty-one billion, two hundred thirty-one million, three hundred thirty-four thousand".