Base | Representation |
---|---|
bin | 100010000110001110000… |
… | …011010001101110000000 |
3 | 22022000001111001021010210 |
4 | 202012032003101232000 |
5 | 301342222420300000 |
6 | 4552231314354120 |
7 | 331200126531351 |
oct | 42061603215600 |
9 | 8260044037123 |
10 | 2343140400000 |
11 | 8237a1741124 |
12 | 31a148b8b940 |
13 | 13cc59c4718a |
14 | 815a12b1d28 |
15 | 40e3cbec350 |
hex | 2218e0d1b80 |
2343140400000 has 384 divisors, whose sum is σ = 7793894908800. Its totient is φ = 623678720000.
The previous prime is 2343140399969. The next prime is 2343140400017. The reversal of 2343140400000 is 40413432.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×23431404000002 (a number of 26 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2343140400000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790798519 + ... + 790801481.
It is an arithmetic number, because the mean of its divisors is an integer number (20296601325).
Almost surely, 22343140400000 is an apocalyptic number.
2343140400000 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 2343140400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896947454400).
2343140400000 is an abundant number, since it is smaller than the sum of its proper divisors (5450754508800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2343140400000 is an frugal number, since it uses more digits than its factorization.
2343140400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3664 (or 3632 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
Adding to 2343140400000 its reverse (40413432), we get a palindrome (2343180813432).
The spelling of 2343140400000 in words is "two trillion, three hundred forty-three billion, one hundred forty million, four hundred thousand".
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