242149876800
242,149,876,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 242149876800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
242149876800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 242149876800:
26 × 3 × 52 × 13 × 17 × 53 × 59 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 53 × 59 × 73)See below for interesting mathematical facts about the number 242149876800 from the Numbermatics database.
Names of 242149876800
- Cardinal: 242149876800 can be written as Two hundred forty-two billion, one hundred forty-nine million, eight hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.421498768 × 1011
Factors of 242149876800
Divisors of 242149876800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 53 59 60 64 65 68 73 75 78 80 85 96 100 102 104 106 118 120 130 136 146 150 156 159 160 170 177 192 195 200 204 208 212 219 221 236 240 255 260 265 272 292 295 300 312 318 320 325 340 354 365 390 400 408 416 424 425 438 442 472 480 510 520 530 544 584 590 600 624 636 650 663 680 689 708 730 767 780 795 800 816 832 848 850 876 884 885 901 944 949 960 975 1003 1020 1040 1060 1088 1095 1105 1168 1180 1200 1241 1248 1272 1275 1300 1325 1326 1360 1378 1416 1460 1475 1534 1560 1590 1600 1632 1696 1700 1752 1768 1770 1802 1825 1888 1898 1950 2006 2040 2067 2080 2120 2190 2210 2301 2336 2360 2400 2482 2496 2544 2550 2600 2650 2652 2703 2720 2756 2832 2847 2920 2950 3009 3068 3120 3127 3180 3264 3315 3392 3400 3445 3504 3536 3540 3604 3650 3723 3776 3796 3835 3869 3900 3975 4012 4080 4134 4160 4240 4307 4380 4420 4425 4505 4602 4672 4720 4745 4800 4964 5015 5088 5100 5200 5300 5304 5406 5440 5475 5512 5525 5664 5694 5840 5900 6018 6136 6205 6240 6254 6360 6630 6800 6890 7008 7072 7080 7208 7300 7446 7592 7670 7738 7800 7950 8024 8160 8268 8480 8614 8760 8840 8850 9010 9204 9381 9440 9490 9928 10030 10176 10200 10335 10400 10600 10608 10812 10950 11024 11050 11328 11388 11505 11607 11680 11713 11800 12036 12272 12410 12480 12508 12720 12921 13039 13260 13515 13600 13780 14016 14144 14160 14235 14416 14600 14892 15045 15184 15340 15476 15600 15635 15900 16048 16133 16320 16536 16575 16960 17225 17228 17520 17680 17700 18020 18408 18615 18762 18880 18980 19175 19345 19856 20060 20400 20670 20800 21200 21216 21535 21624 21900 22048 22100 22525 22776 23010 23214 23360 23426 23600 23725 24072 24544 24820 25016 25075 25440 25842 26078 26520 27030 27200 27560 28320 28470 28832 29200 29784 30090 30368 30680 30952 31025 31200 31270 31800 32096 32266 33072 33150 34450 34456 35040 35139 35360 35400 36040 36816 37230 37524 37960 38350 38690 39117 39712 40120 40651 40800 41340 42400 42432 43070 43248 43800 44096 44200 45050 45552 46020 46428 46852 46905 47200 47450 48144 48399 49088 49640 50032 50150 50297 50880 51675 51684 52156 53040 53159 54060 55120 55991 56640 56940 57525 57664 58035 58400 58565 59568 60180 60736 61360 61904 62050 62400 62540 63600 64192 64532 64605 65195 65773 66144 66300 67575 68900 68912 70080 70278 70720 70800 71175 72080 73219 73632 74460 75048 75225 75920 76700 77380 78175 78234 79424 80240 80665 81302 81600 82680 84800 86140 86496 87600 88400 90100 91104 92040 92856 93075 93704 93810 94400 94900 96288 96725 96798 99280 100064 100300 100594 103350 103368 104312 106080 106318 107675 108120 110240 111982 113880 115050 116070 116800 117130 119136 120360 121953 122720 123808 124100 125080 127200 129064 129210 130390 131546 132288 132600 135150 137800 137824 140556 141600 142350 144160 146438 147264 148920 150096 150450 150891 151840 153400 154760 156350 156468 159477 160480 161330 162604 165360 167973 172280 172992 175200 175695 176800 180200 182208 184080 185712 186150 187408 187620 189800 192576 193450 193596 195585 197319 198560 200128 200600 201188 203255 206700 206736 208624 212160 212636 215350 216240 219657 220480 223964 227760 228271 230100 232140 234260 234525 238272 240720 241995 243906 245440 247616 248200 250160 251485 254400 258128 258420 260780 263092 265200 265795 270300 275600 275648 279955 281112 283200 284700 288320 290175 292825 292876 297840 300192 300900 301782 303680 306800 309520 312700 312936 318954 320960 322660 323025 325208 325975 328865 330720 335946 344560 350400 351390 353600 360400 366095 368160 371424 372300 374816 375240 379600 386900 387192 391170 394638 397120 401200 402376 403325 406510 413400 413472 417248 425272 430700 432480 439314 447928 455520 456542 460200 464280 468520 469050 481440 483990 487812 496400 500320 502970 516256 516840 521560 526184 530400 531590 540600 551200 559910 562224 569400 580350 585650 585752 595680 600384 601800 603564 609765 613600 619040 625400 625872 637908 645320 646050 650416 651950 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114221640 116418210 117150400 118700920 120712800 124179424 127581600 128257350 132684864 134378400 136807840 136962600 138213400 142441104 142777050 148376150 151343673 152295520 155224280 157855200 164169408 165856080 171009800 175725600 178051380 182616800 182754624 186269136 189921472 190369400 194030350 195124800 201791564 205211760 207320100 219140160 221141440 222564225 228443280 232836420 237401840 241425600 248358848 252239455 255163200 256514700 268756800 273615680 273925200 276426800 284882208 285554100 291045525 296752300 302687346 304591040 310448560 315710400 331712160 342019600 351451200 356102760 365233600 372538272 380738800 388060700 403583128 410423520 414640200 445128450 456886560 465672840 474803680 504478910 513029400 547850400 552853600 569764416 571108200 582091050 593504600 605374692 620897120 663424320 684039200 712205520 745076544 756718365 761477600 776121400 807166256 820847040 829280400 890256900 913773120 931345680 949607360 1008957820 1026058800 1095700800 1105707200 1142216400 1164182100 1187009200 1210749384 1241794240 1261197275 1368078400 1424411040 1513436730 1522955200 1552242800 1614332512 1658560800 1780513800 1862691360 2017915640 2052117600 2284432800 2328364200 2374018400 2421498768 2522394550 2848822080 3026873460 3104485600 3228665024 3317121600 3561027600 3725382720 3783591825 4035831280 4104235200 4568865600 4656728400 4748036800 4842997536 5044789100 6053746920 6208971200 7122055200 7567183650 8071662560 9313456800 9685995072 10089578200 12107493840 14244110400 15134367300 16143325120 18626913600 20179156400 24214987680 30268734600 40358312800 48429975360 60537469200 80716625600 121074938400 242149876800
- Sum of all divisors σ(n): 951486600960
- Sum of proper divisors (its aliquot sum) s(n): 709336724160
- 242149876800 is an abundant number, because the sum of its proper divisors (709336724160) is greater than itself. Its abundance is 467186847360
Bases of 242149876800
- Binary: 111000011000010100000111100100010000002
- Hexadecimal: 0x386141E440
- Base-36: 338PS8QO
Squares and roots of 242149876800
- 242149876800 squared (2421498768002) is 58636562834255178240000
- 242149876800 cubed (2421498768003) is 14198836466290350230578040832000000
-
The
square root of 242149876800 is 492087.2654316509 -
The
cube root of 242149876800 is 6232.9658985055
Scales and comparisons
How big is 242149876800?- 242,149,876,800 seconds is equal to 7,699 years, 32 weeks, 14 hours, 40 minutes.
-
To count from 1 to 242,149,876,800 would take you about fifteen thousand, three hundred ninety-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 242149876800 cubic inches would be around 519.4 feet tall.
Recreational maths with 242149876800
- 242149876800 backwards is 008678941242
- 242149876800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 242149876800's digits is 51
- More coming soon!
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The information we have on file for 242149876800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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