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242440312050 = 232528916193739
BaseRepresentation
bin1110000111001010010…
…0011001010011110010
3212011210002012220210200
43201302210121103302
512433004204441200
6303213041140030
723341616436126
oct3416244312362
9764702186720
10242440312050
1193900265862
123aba092a616
1319b28b32c61
14ba3c803586
15648e2e6800
hex38729194f2

242440312050 has 144 divisors (see below), whose sum is σ = 659258028000. Its totient is φ = 63867767040.

The previous prime is 242440312033. The next prime is 242440312061. The reversal of 242440312050 is 50213044242.

242440312050 is a `hidden beast` number, since 2 + 424 + 4 + 0 + 31 + 205 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64839081 + ... + 64842819.

It is an arithmetic number, because the mean of its divisors is an integer number (4578180750).

Almost surely, 2242440312050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242440312050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329629014000).

242440312050 is an abundant number, since it is smaller than the sum of its proper divisors (416817715950).

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

242440312050 is a wasteful number, since it uses less digits than its factorization.

242440312050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 242440312050 its reverse (50213044242), we get a palindrome (292653356292).

The spelling of 242440312050 in words is "two hundred forty-two billion, four hundred forty million, three hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 150 178 225 267 445 450 534 801 890 1335 1602 1619 2225 2670 3238 3739 4005 4450 4857 6675 7478 8010 8095 9714 11217 13350 14571 16190 18695 20025 22434 24285 29142 33651 37390 40050 40475 48570 56085 67302 72855 80950 93475 112170 121425 144091 145710 168255 186950 242850 280425 288182 332771 336510 364275 432273 560850 665542 720455 728550 841275 864546 998313 1296819 1440910 1663855 1682550 1996626 2161365 2593638 2994939 3327710 3602275 4322730 4991565 5989878 6053441 6484095 7204550 8319275 9983130 10806825 12106882 12968190 14974695 16638550 18160323 21613650 24957825 29949390 30267205 32420475 36320646 49915650 54480969 60534410 64840950 74873475 90801615 108961938 149746950 151336025 181603230 272404845 302672050 454008075 538756249 544809690 908016150 1077512498 1362024225 1616268747 2693781245 2724048450 3232537494 4848806241 5387562490 8081343735 9697612482 13468906225 16162687470 24244031205 26937812450 40406718675 48488062410 80813437350 121220156025 242440312050