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241342440240 = 243511757120763
BaseRepresentation
bin1110000011000100100…
…0010110001100110000
3212001221120101020210210
43200301020112030300
512423232131041430
6302512102024120
723302455615516
oct3406110261460
9761846336723
10241342440240
1193397574490
123a935118040
13199b2548b75
14b976a9a4b6
156427c312b0
hex3831216330

241342440240 has 160 divisors (see below), whose sum is σ = 817261191936. Its totient is φ = 58429486080.

The previous prime is 241342440149. The next prime is 241342440259. The reversal of 241342440240 is 42044243142.

241342440240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241342440198 and 241342440207.

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, 1938099 + ... + 2058861.

Almost surely, 2241342440240 is an apocalyptic number.

241342440240 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 241342440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408630595968).

241342440240 is an abundant number, since it is smaller than the sum of its proper divisors (575918751696).

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

241342440240 is a wasteful number, since it uses less digits than its factorization.

241342440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121547 (or 121541 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 241342440240 its reverse (42044243142), we get a palindrome (283386683382).

The spelling of 241342440240 in words is "two hundred forty-one billion, three hundred forty-two million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 757 880 1320 1514 2271 2640 3028 3785 4542 6056 7570 8327 9084 11355 12112 15140 16654 18168 22710 24981 30280 33308 36336 41635 45420 49962 60560 66616 83270 90840 99924 120763 124905 133232 166540 181680 199848 241526 249810 333080 362289 399696 483052 499620 603815 666160 724578 966104 999240 1207630 1328393 1449156 1811445 1932208 1998480 2415260 2656786 2898312 3622890 3985179 4830520 5313572 5796624 6641965 7245780 7970358 9661040 10627144 13283930 14491560 15940716 19925895 21254288 26567860 28983120 31881432 39851790 53135720 63762864 79703580 91417591 106271440 159407160 182835182 274252773 318814320 365670364 457087955 548505546 731340728 914175910 1005593501 1097011092 1371263865 1462681456 1828351820 2011187002 2194022184 2742527730 3016780503 3656703640 4022374004 4388044368 5027967505 5485055460 6033561006 7313407280 8044748008 10055935010 10970110920 12067122012 15083902515 16089496016 20111870020 21940221840 24134244024 30167805030 40223740040 48268488048 60335610060 80447480080 120671220120 241342440240