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241340144100 = 2235211151484327
BaseRepresentation
bin1110000011000011111…
…1100101100111100100
3212001221102001121002120
43200300333211213210
512423231034102400
6302511540505540
723302430243316
oct3406077454744
9761842047076
10241340144100
1193396246350
123a9343ab2b0
13199b1c239c3
14b97665d7b6
15642792aca0
hex3830fe59e4

241340144100 has 144 divisors (see below), whose sum is σ = 766803588096. Its totient is φ = 58119120000.

The previous prime is 241340144081. The next prime is 241340144117. The reversal of 241340144100 is 1441043142.

241340144100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 256137 + ... + 740463.

Almost surely, 2241340144100 is an apocalyptic number.

241340144100 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 241340144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383401794048).

241340144100 is an abundant number, since it is smaller than the sum of its proper divisors (525463443996).

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

241340144100 is a wasteful number, since it uses less digits than its factorization.

241340144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484506 (or 484499 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 241340144100 its reverse (1441043142), we get a palindrome (242781187242).

The spelling of 241340144100 in words is "two hundred forty-one billion, three hundred forty million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 151 165 220 275 300 302 330 453 550 604 660 755 825 906 1100 1510 1650 1661 1812 2265 3020 3300 3322 3775 4530 4983 6644 7550 8305 9060 9966 11325 15100 16610 19932 22650 24915 33220 41525 45300 49830 83050 99660 124575 166100 249150 484327 498300 968654 1452981 1937308 2421635 2905962 4843270 5327597 5811924 7264905 9686540 10655194 12108175 14529810 15982791 21310388 24216350 26637985 29059620 31965582 36324525 48432700 53275970 63931164 72649050 73133377 79913955 106551940 133189925 145298100 146266754 159827910 219400131 266379850 292533508 319655820 365666885 399569775 438800262 532759700 731333770 799139550 804467147 877600524 1097000655 1462667540 1598279100 1608934294 1828334425 2194001310 2413401441 3217868588 3656668850 4022335735 4388002620 4826802882 5485003275 7313337700 8044671470 9653605764 10970006550 12067007205 16089342940 20111678675 21940013100 24134014410 40223357350 48268028820 60335036025 80446714700 120670072050 241340144100