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242515134450024 = 233157227316789527
BaseRepresentation
bin110111001001000011110100…
…011100010000100101101000
31011210200012221200202100112120
4313021003310130100211220
5223241331443404400044
62215441525325511240
7102040066052432052
oct6711036434204550
91153605850670476
10242515134450024
1170300100049a37
1223249083a12520
13a54210489a937
1443c5b1bbd48d2
151d085963dd519
hexdc90f4710968

242515134450024 has 128 divisors (see below), whose sum is σ = 613037780213760. Its totient is φ = 79943492199168.

The previous prime is 242515134450011. The next prime is 242515134450047. The reversal of 242515134450024 is 420054431515242.

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, 2708804349 + ... + 2708893875.

It is an arithmetic number, because the mean of its divisors is an integer number (4789357657920).

Almost surely, 2242515134450024 is an apocalyptic number.

242515134450024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242515134450024 is an abundant number, since it is smaller than the sum of its proper divisors (370522645763736).

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

242515134450024 is a wasteful number, since it uses less digits than its factorization.

242515134450024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93087 (or 93083 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 242515134450024 its reverse (420054431515242), we get a palindrome (662569565965266).

The spelling of 242515134450024 in words is "two hundred forty-two trillion, five hundred fifteen billion, one hundred thirty-four million, four hundred fifty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 157 227 314 454 471 628 681 908 942 1256 1362 1816 1884 2724 3167 3768 5448 6334 9501 12668 19002 25336 35639 38004 71278 76008 89527 106917 142556 179054 213834 268581 285112 358108 427668 497219 537162 716216 718909 855336 994438 1074324 1437818 1491657 1988876 2148648 2156727 2875636 2983314 3977752 4313454 5751272 5966628 8626908 11933256 14055739 17253816 20322629 28111478 40645258 42167217 56222956 60967887 81290516 84334434 112445912 112868713 121935774 162581032 168668868 225737426 243871548 283532009 337337736 338606139 451474852 487743096 567064018 677212278 850596027 902949704 1134128036 1354424556 1701192054 2268256072 2708849112 3190652753 3402384108 6381305506 6804768216 9571958259 12762611012 19143916518 25525222024 38287833036 44514525413 64361766043 76575666072 89029050826 128723532086 133543576239 178058101652 193085298129 257447064172 267087152478 356116203304 386170596258 514894128344 534174304956 772341192516 1068348609912 1544682385032 10104797268751 20209594537502 30314391806253 40419189075004 60628783612506 80838378150008 121257567225012 242515134450024