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240411114042 = 231147613112641
BaseRepresentation
bin1101111111100110011…
…1100111101000111010
3211222112122220222102220
43133321213213220322
512414330221122132
6302235432304510
723240416516011
oct3377147475072
9758478828386
10240411114042
1192a59896310
123a715242136
1319894604988
14b8c9107a78
1563c10b7a2c
hex37f99e7a3a

240411114042 has 64 divisors (see below), whose sum is σ = 535823382528. Its totient is φ = 71284544000.

The previous prime is 240411114023. The next prime is 240411114067.

240411114042 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19012042 + ... + 19024682.

It is an arithmetic number, because the mean of its divisors is an integer number (8372240352).

Almost surely, 2240411114042 is an apocalyptic number.

240411114042 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 240411114042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267911691264).

240411114042 is an abundant number, since it is smaller than the sum of its proper divisors (295412268486).

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

240411114042 is a wasteful number, since it uses less digits than its factorization.

240411114042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18835.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 240411 and 114042, that added together give a palindrome (354453).

The spelling of 240411114042 in words is "two hundred forty billion, four hundred eleven million, one hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3102 6131 12262 12641 18393 25282 36786 37923 67441 75846 134882 139051 202323 278102 288157 404646 417153 576314 594127 834306 864471 1188254 1728942 1782381 3169727 3564762 6339454 6535397 9509181 13070794 19018362 19606191 39212382 77501971 155003942 232505913 465011826 852521681 1705043362 2557565043 3642592637 5115130086 7285185274 10927777911 21855555822 40068519007 80137038014 120205557021 240411114042