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243411114342 = 231123761914639
BaseRepresentation
bin1110001010110001101…
…1101101100101100110
3212021021201221210012010
43202230123231211212
512442001221124332
6303453240535050
723404645222404
oct3425433554546
9767251853163
10243411114342
1194259256a00
123b211a81486
1319c51cb9396
14bad1710474
1564e965b9cc
hex38ac6ed966

243411114342 has 96 divisors (see below), whose sum is σ = 550489766400. Its totient is φ = 71646569280.

The previous prime is 243411114341. The next prime is 243411114343.

It is a happy number.

243411114342 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (243411114341) and next prime (243411114343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243411114341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16620259 + ... + 16634897.

It is an arithmetic number, because the mean of its divisors is an integer number (5734268400).

Almost surely, 2243411114342 is an apocalyptic number.

243411114342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243411114342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275244883200).

243411114342 is an abundant number, since it is smaller than the sum of its proper divisors (307078652058).

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

243411114342 is a wasteful number, since it uses less digits than its factorization.

243411114342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15322 (or 15311 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 243411 and 114342, that added together give a palindrome (357753).

The spelling of 243411114342 in words is "two hundred forty-three billion, four hundred eleven million, one hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 619 726 814 1221 1238 1857 2442 3714 4477 6809 8954 13431 13618 14639 20427 22903 26862 29278 40854 43917 45806 68709 74899 87834 137418 149798 161029 224697 251933 322058 449394 483087 503866 541643 755799 966174 1083286 1511598 1624929 1771319 2771263 3249858 3542638 5313957 5542526 5958073 8313789 9061541 10627914 11916146 16627578 17874219 18123082 27184623 35748438 54369246 65538803 99676951 131077606 196616409 199353902 299030853 335277017 393232818 598061706 670554034 1005831051 1096446461 2011662102 2192892922 3289339383 3688047187 6578678766 7376094374 11064141561 22128283122 40568519057 81137038114 121705557171 243411114342