146149365864480
146,149,365,864,480 is an even composite number composed of eight prime numbers multiplied together.
What does the number 146149365864480 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
146149365864480 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 146149365864480:
25 × 3 × 5 × 112 × 172 × 47 × 61 × 3037
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 17 × 47 × 61 × 3037)See below for interesting mathematical facts about the number 146149365864480 from the Numbermatics database.
Names of 146149365864480
- Cardinal: 146149365864480 can be written as One hundred forty-six trillion, one hundred forty-nine billion, three hundred sixty-five million, eight hundred sixty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.4614936586448 × 1014
Factors of 146149365864480
Divisors of 146149365864480
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 32 33 34 40 44 47 48 51 55 60 61 66 68 80 85 88 94 96 102 110 120 121 122 132 136 141 160 165 170 176 183 187 188 204 220 235 240 242 244 255 264 272 282 289 305 330 340 352 363 366 374 376 408 440 470 480 484 488 510 517 528 544 561 564 578 605 610 660 671 680 705 726 732 748 752 799 816 867 880 915 935 940 968 976 1020 1034 1037 1056 1122 1128 1156 1210 1220 1320 1342 1360 1410 1445 1452 1464 1496 1504 1551 1598 1632 1734 1760 1815 1830 1870 1880 1936 1952 2013 2040 2057 2068 2074 2244 2256 2312 2397 2420 2440 2585 2640 2684 2720 2805 2820 2867 2890 2904 2928 2992 3037 3102 3111 3179 3196 3355 3468 3630 3660 3740 3760 3872 3995 4026 4080 4114 4136 4148 4335 4488 4512 4624 4794 4840 4880 5170 5185 5280 5368 5610 5640 5687 5734 5780 5808 5856 5984 6074 6171 6204 6222 6358 6392 6710 6936 7260 7320 7381 7480 7520 7755 7990 8052 8160 8228 8272 8296 8601 8670 8789 8976 9111 9248 9537 9588 9680 9760 10065 10285 10340 10370 10736 11220 11280 11374 11407 11468 11560 11616 11985 12148 12342 12408 12444 12716 12784 13420 13583 13872 14335 14520 14640 14762 14960 15185 15510 15555 15895 15980 16104 16456 16544 16592 17061 17202 17340 17578 17629 17952 18222 19074 19176 19360 20130 20570 20680 20740 21472 22143 22440 22560 22748 22814 22936 23120 23970 24296 24684 24816 24888 25432 25568 26367 26840 27166 27744 28435 28670 29040 29280 29524 29920 30370 30855 31020 31110 31537 31790 31960 32208 32912 33184 33407 34122 34221 34404 34680 34969 35156 35258 36444 36905 38148 38352 40260 40749 41140 41360 41480 43005 43945 44286 44880 45496 45555 45628 45872 46240 47685 47940 48592 48739 49368 49632 49776 50864 51629 52734 52887 53680 54332 56870 57035 57340 58080 59048 60740 61710 62040 62220 63074 63580 63920 64416 65824 66814 67915 68244 68442 68808 69360 69938 70312 70516 72888 73810 76296 76704 80520 81498 82280 82720 82960 85305 86010 87890 88145 88572 89760 90992 91110 91256 91744 94611 95370 95880 96679 97184 97478 98736 99552 100221 101728 103258 104907 105468 105774 107360 108664 110715 113740 114070 114680 118096 121480 123420 124080 124440 125477 126148 127160 127840 131835 133628 135830 136488 136884 137616 138720 139876 140624 141032 142739 145776 146217 147620 149413 152592 154887 157685 161040 162996 164560 165920 167035 170610 171105 172020 174845 175780 176290 177144 181984 182220 182512 185257 189222 190740 191760 193358 193919 194956 197472 200442 203745 206516 209814 210936 211548 217328 221430 227480 228140 229360 236192 242960 243695 246840 248160 248880 250954 252296 254320 258145 263670 264435 267256 271660 272976 273768 275232 279752 281248 282064 285478 290037 291552 292434 295240 298826 305184 309774 315370 322080 325992 329120 334070 341220 342210 344040 346907 349690 351560 352580 354288 364440 365024 367477 370514 376431 378444 381480 383520 386716 387838 389912 400884 407490 413032 419628 421872 423096 428217 434656 442860 448239 454960 456280 458720 473055 483395 485920 487390 493680 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60392299944 60971783840 63213393540 64782520330 65128950920 70467389520 70671840360 71049764640 71641846012 72602764960 74871601365 75490374930 77739024396 78154741104 79863041456 80523066592 83039412423 84284524720 89552307515 91457675760 94229120480 97173780495 97693426380 99828801820 100653833240 101141429664 103652032528 107462769018 108904147440 110719216564 119794562184 120784599888 126426787080 129565040660 130257901840 138399020705 140934779040 141343680720 143283692024 149743202730 150980749860 155478048792 156309482208 159726082912 166078824846 168569049440 179104615030 182915351520 194347560990 195386852760 199657603640 201307666480 207304065056 214925538036 217808294880 221438433128 239589124368 241569199776 252853574160 259130081320 260515803680 268656922545 276798041410 282687361440 286567384048 299486405460 301961499720 304477845551 310956097584 332157649692 358209230060 388695121980 390773705520 399315207280 402615332960 415197062115 429851076072 442876866256 479178248736 505707148320 518260162640 537313845090 553596082820 573134768096 598972810920 603922999440 608955691102 621912195168 664315299384 716418460120 777390243960 781547411040 798630414560 830394124230 859702152144 885753732512 913433536653 1036520325280 1074627690180 1107192165640 1197945621840 1207845998880 1217911382204 1328630598768 1432836920240 1522389227755 1554780487920 1660788248460 1719404304288 1826867073306 2149255380360 2214384331280 2395891243680 2435822764408 2657261197536 2865673840480 3044778455510 3109560975840 3321576496920 3653734146612 4298510760720 4428768662560 4567167683265 4871645528816 6089556911020 6643152993840 7307468293224 8597021521440 9134335366530 9743291057632 12179113822040 13286305987680 14614936586448 18268670733060 24358227644080 29229873172896 36537341466120 48716455288160 73074682932240 146149365864480
- Sum of all divisors σ(n): 558164876161536
- Sum of proper divisors (its aliquot sum) s(n): 412015510297056
- 146149365864480 is an abundant number, because the sum of its proper divisors (412015510297056) is greater than itself. Its abundance is 265866144432576
Bases of 146149365864480
- Binary: 1000010011101100000011010000100101011000001000002
- Hexadecimal: 0x84EC0D095820
- Base-36: 1FT03AYYAO
Squares and roots of 146149365864480
- 146149365864480 squared (1461493658644802) is 21359637142589631857725670400
- 146149365864480 cubed (1461493658644803) is 3121697423484868268616262021525983547392000
-
The
square root of 146149365864480 is 12089225.1970289643 -
The
cube root of 146149365864480 is 52674.3249307099
Scales and comparisons
How big is 146149365864480?- 146,149,365,864,480 seconds is equal to 4,647,097 years, 39 weeks, 5 days, 9 hours, 28 minutes.
-
To count from 1 to 146,149,365,864,480 would take you about eleven million, six hundred seventeen thousand, seven hundred forty-four 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 146149365864480 cubic inches would be around 4389.5 feet tall.
Recreational maths with 146149365864480
- 146149365864480 backwards is 084468563941641
- The number of decimal digits it has is: 15
- The sum of 146149365864480's digits is 69
- More coming soon!
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"Number 146149365864480 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 146149365864480 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/146149365864480/
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The information we have on file for 146149365864480 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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