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242301034501032 = 233133765473205949
BaseRepresentation
bin110111000101111100011011…
…000101110001001110101000
31011202220202022200221001020010
4313011330123011301032220
5223224330004313013112
62215155320352531520
7102015446341046043
oct6705743305611650
91152822280831203
10242301034501032
1170228323223431
1223213692250ba0
13a527b743463a0
1443b960b25dc5a
151d02c1519163c
hexdc5f1b1713a8

242301034501032 has 128 divisors (see below), whose sum is σ = 670082534352000. Its totient is φ = 72528084661248.

The previous prime is 242301034501003. The next prime is 242301034501063. The reversal of 242301034501032 is 230105430103242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73975594 + ... + 77181542.

It is an arithmetic number, because the mean of its divisors is an integer number (5235019799625).

Almost surely, 2242301034501032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242301034501032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335041267176000).

242301034501032 is an abundant number, since it is smaller than the sum of its proper divisors (427781499850968).

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

242301034501032 is a wasteful number, since it uses less digits than its factorization.

242301034501032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212555 (or 3212551 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 242301034501032 its reverse (230105430103242), we get a palindrome (472406464604274).

The spelling of 242301034501032 in words is "two hundred forty-two trillion, three hundred one billion, thirty-four million, five hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 6547 11544 13094 19641 26188 39282 52376 78564 85111 157128 170222 242239 255333 340444 484478 510666 680888 726717 968956 1021332 1453434 1937912 2042664 2906868 3149107 3205949 5813736 6298214 6411898 9447321 9617847 12596428 12823796 18894642 19235694 25192856 25647592 37789284 38471388 41677337 75578568 76942776 83354674 118620113 125032011 166709348 237240226 250064022 333418696 355860339 474480452 500128044 711720678 948960904 1000256088 1423441356 1542061469 2846882712 3084122938 4626184407 6168245876 9252368814 12336491752 18504737628 20989348103 37009475256 41978696206 62968044309 83957392412 125936088618 167914784824 251872177236 272861525339 503744354472 545723050678 776605879811 818584576017 1091446101356 1553211759622 1637169152034 2182892202712 2329817639433 3106423519244 3274338304068 4659635278866 6212847038488 6548676608136 9319270557732 10095876437543 18638541115464 20191752875086 30287629312629 40383505750172 60575258625258 80767011500344 121150517250516 242301034501032