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241220342000 = 24531116076823
BaseRepresentation
bin1110000010100111011…
…0100101000011110000
3212001122001122000111202
43200221312211003300
512423004401421000
6302452021030332
723266444035131
oct3405166450360
9761561560452
10241220342000
119333465a250
123a9002553a8
1319993168ba1
14b964795c88
15641c163dd5
hex3829da50f0

241220342000 has 160 divisors (see below), whose sum is σ = 636784671744. Its totient is φ = 87649056000.

The previous prime is 241220341993. The next prime is 241220342017. The reversal of 241220342000 is 243022142.

241220342000 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35350589 + ... + 35357411.

Almost surely, 2241220342000 is an apocalyptic number.

241220342000 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 241220342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318392335872).

241220342000 is an abundant number, since it is smaller than the sum of its proper divisors (395564329744).

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

241220342000 is a wasteful number, since it uses less digits than its factorization.

241220342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 241220342000 its reverse (243022142), we get a palindrome (241463364142).

The spelling of 241220342000 in words is "two hundred forty-one billion, two hundred twenty million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 1607 2000 2200 2750 3214 4400 5500 6428 6823 8035 11000 12856 13646 16070 17677 22000 25712 27292 32140 34115 35354 40175 54584 64280 68230 70708 75053 80350 88385 109168 128560 136460 141416 150106 160700 170575 176770 200875 272920 282832 300212 321400 341150 353540 375265 401750 441925 545840 600424 642800 682300 707080 750530 803500 852875 883850 1200848 1364600 1414160 1501060 1607000 1705750 1767700 1876325 2209625 2729200 3002120 3214000 3411500 3535400 3752650 4419250 6004240 6823000 7070800 7505300 8838500 9381625 10964561 13646000 15010600 17677000 18763250 21929122 30021200 35354000 37526500 43858244 54822805 75053000 87716488 109645610 120610171 150106000 175432976 219291220 241220342 274114025 438582440 482440684 548228050 603050855 877164880 964881368 1096456100 1206101710 1370570125 1929762736 2192912200 2412203420 2741140250 3015254275 4385824400 4824406840 5482280500 6030508550 9648813680 10964561000 12061017100 15076271375 21929122000 24122034200 30152542750 48244068400 60305085500 120610171000 241220342000