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241253285000 = 2354713530227
BaseRepresentation
bin1110000010101111010…
…0001111110010001000
3212001201100121200210212
43200223310033302020
512423041320110000
6302455155100252
723300324041640
oct3405364176210
9761640550725
10241253285000
119335120a872
123a90b2a1688
1319999c315a0
14b968ccd520
15641eebec35
hex382bd0fc88

241253285000 has 160 divisors (see below), whose sum is σ = 695701554240. Its totient is φ = 76352544000.

The previous prime is 241253284949. The next prime is 241253285027. The reversal of 241253285000 is 582352142.

241253285000 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 39 ways as a sum of consecutive naturals, for example, 189887 + ... + 720113.

It is an arithmetic number, because the mean of its divisors is an integer number (4348134714).

Almost surely, 2241253285000 is an apocalyptic number.

241253285000 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 241253285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347850777120).

241253285000 is an abundant number, since it is smaller than the sum of its proper divisors (454448269240).

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

241253285000 is a wasteful number, since it uses less digits than its factorization.

241253285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530273 (or 530254 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 241253285000 in words is "two hundred forty-one billion, two hundred fifty-three million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 625 650 700 728 875 910 1000 1250 1300 1400 1625 1750 1820 2275 2500 2600 3250 3500 3640 4375 4550 5000 6500 7000 8125 8750 9100 11375 13000 16250 17500 18200 22750 32500 35000 45500 56875 65000 91000 113750 227500 455000 530227 1060454 2120908 2651135 3711589 4241816 5302270 6892951 7423178 10604540 13255675 13785902 14846356 18557945 21209080 26511350 27571804 29692712 34464755 37115890 48250657 53022700 55143608 66278375 68929510 74231780 92789725 96501314 106045400 132556750 137859020 148463560 172323775 185579450 193002628 241253285 265113500 275718040 331391875 344647550 371158900 386005256 463948625 482506570 530227000 662783750 689295100 742317800 861618875 927897250 965013140 1206266425 1325567500 1378590200 1723237750 1855794500 1930026280 2319743125 2412532850 2651135000 3446475500 3711589000 4308094375 4639486250 4825065700 6031332125 6892951000 8616188750 9278972500 9650131400 12062664250 17232377500 18557945000 24125328500 30156660625 34464755000 48250657000 60313321250 120626642500 241253285000