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243400351104 = 273217113109987
BaseRepresentation
bin1110001010101111001…
…0101001110110000000
3212021020222200221210200
43202223302221312000
512441440442213404
6303452214125200
723404454563611
oct3425362516600
9767228627720
10243400351104
1194253175369
123b20a350800
1319c4c9bb2c1
14bad010bc08
1564e8732839
hex38abca9d80

243400351104 has 192 divisors, whose sum is σ = 748180171440. Its totient is φ = 75684446208.

The previous prime is 243400351097. The next prime is 243400351141. The reversal of 243400351104 is 401153004342.

It is a happy number.

243400351104 is a `hidden beast` number, since 243 + 400 + 3 + 5 + 1 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157999 + ... + 2267985.

Almost surely, 2243400351104 is an apocalyptic number.

243400351104 is a gapful number since it is divisible by the number (24) 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 243400351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374090085720).

243400351104 is an abundant number, since it is smaller than the sum of its proper divisors (504779820336).

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

243400351104 is a wasteful number, since it uses less digits than its factorization.

243400351104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110137 (or 110122 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 243400351104 its reverse (401153004342), we get a palindrome (644553355446).

The spelling of 243400351104 in words is "two hundred forty-three billion, four hundred million, three hundred fifty-one thousand, one hundred four".