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241312434000 = 24353113656249
BaseRepresentation
bin1110000010111101010…
…1111000011101010000
3212001212110220202222120
43200233111320131100
512423201440342000
6302505110534240
723301642563001
oct3405725703520
9761773822876
10241312434000
119338163a340
123a927067380
13199a92710b1
14b972ac91a8
1564252a56a0
hex382f578750

241312434000 has 160 divisors (see below), whose sum is σ = 848718000000. Its totient is φ = 58499968000.

The previous prime is 241312433981. The next prime is 241312434017. The reversal of 241312434000 is 434213142.

241312434000 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762125 + ... + 1894124.

It is an arithmetic number, because the mean of its divisors is an integer number (5304487500).

Almost surely, 2241312434000 is an apocalyptic number.

241312434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241312434000 is an abundant number, since it is smaller than the sum of its proper divisors (607405566000).

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

241312434000 is a wasteful number, since it uses less digits than its factorization.

241312434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656286 (or 3656270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 241312434000 its reverse (434213142), we get a palindrome (241746647142).

The spelling of 241312434000 in words is "two hundred forty-one billion, three hundred twelve million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 3656249 7312498 10968747 14624996 18281245 21937494 29249992 36562490 40218739 43874988 54843735 58499984 73124980 80437478 87749976 91406225 109687470 120656217 146249960 160874956 175499952 182812450 201093695 219374940 241312434 274218675 292499920 321749912 365624900 402187390 438749880 457031125 482624868 548437350 603281085 643499824 731249800 804374780 877499760 914062250 965249736 1005468475 1096874700 1206562170 1371093375 1462499600 1608749560 1828124500 1930499472 2010936950 2193749400 2413124340 2742186750 3016405425 3217499120 3656249000 4021873900 4387498800 4826248680 5027342375 5484373500 6032810850 7312498000 8043747800 9652497360 10054684750 10968747000 12065621700 15082027125 16087495600 20109369500 21937494000 24131243400 30164054250 40218739000 48262486800 60328108500 80437478000 120656217000 241312434000