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2143104318400 = 26523897194789
BaseRepresentation
bin11111001011111010111…
…110001011101111000000
321120212201121212102222211
4133023322332023233000
5240103034201142100
64320310055111504
7310556060066233
oct37137276135700
97525647772884
102143104318400
11756981576321
122a7421372594
1312712b303b56
1475a264bb41a
153ab314ec1ba
hex1f2faf8bbc0

2143104318400 has 168 divisors, whose sum is σ = 5295390984000. Its totient is φ = 853670522880.

The previous prime is 2143104318379. The next prime is 2143104318401. The reversal of 2143104318400 is 48134013412.

It is a super-2 number, since 2×21431043184002 (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 (2143104318401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447503206 + ... + 447507994.

Almost surely, 22143104318400 is an apocalyptic number.

2143104318400 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 2143104318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647695492000).

2143104318400 is an abundant number, since it is smaller than the sum of its proper divisors (3152286665600).

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

2143104318400 is a wasteful number, since it uses less digits than its factorization.

2143104318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 2143104318400 in words is "two trillion, one hundred forty-three billion, one hundred four million, three hundred eighteen thousand, four hundred".