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242033423424 = 26313241402359
BaseRepresentation
bin1110000101101001010…
…0001111010001000000
3212010201201120211112120
43201122110033101000
512431141024022144
6303104424124240
723325546103662
oct3413224172100
9763651524476
10242033423424
1193711615371
123aaa8606680
1319a9274c060
14ba00768532
156468721e19
hex385a50f440

242033423424 has 112 divisors (see below), whose sum is σ = 692503405440. Its totient is φ = 74162626560.

The previous prime is 242033423381. The next prime is 242033423453. The reversal of 242033423424 is 424324330242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400357 + ... + 802715.

It is an arithmetic number, because the mean of its divisors is an integer number (6183066120).

Almost surely, 2242033423424 is an apocalyptic number.

242033423424 is a gapful number since it is divisible by the number (24) 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 242033423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346251702720).

242033423424 is an abundant number, since it is smaller than the sum of its proper divisors (450469982016).

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

242033423424 is a wasteful number, since it uses less digits than its factorization.

242033423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402628 (or 402618 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 242033423424 its reverse (424324330242), we get a palindrome (666357753666).

The spelling of 242033423424 in words is "two hundred forty-two billion, thirty-three million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 241 312 416 482 624 723 832 964 1248 1446 1928 2496 2892 3133 3856 5784 6266 7712 9399 11568 12532 15424 18798 23136 25064 37596 46272 50128 75192 100256 150384 200512 300768 402359 601536 804718 1207077 1609436 2414154 3218872 4828308 5230667 6437744 9656616 10461334 12875488 15692001 19313232 20922668 25750976 31384002 38626464 41845336 62768004 77252928 83690672 96968519 125536008 167381344 193937038 251072016 290905557 334762688 387874076 502144032 581811114 775748152 1004288064 1163622228 1260590747 1551496304 2327244456 2521181494 3102992608 3781772241 4654488912 5042362988 6205985216 7563544482 9308977824 10084725976 15127088964 18617955648 20169451952 30254177928 40338903904 60508355856 80677807808 121016711712 242033423424