164141688480
164,141,688,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 164141688480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
164141688480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 164141688480:
25 × 3 × 5 × 7 × 113 × 172 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 11 × 11 × 17 × 17 × 127)See below for interesting mathematical facts about the number 164141688480 from the Numbermatics database.
Names of 164141688480
- Cardinal: 164141688480 can be written as One hundred sixty-four billion, one hundred forty-one million, six hundred eighty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.6414168848 × 1011
Factors of 164141688480
Divisors of 164141688480
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 28 30 32 33 34 35 40 42 44 48 51 55 56 60 66 68 70 77 80 84 85 88 96 102 105 110 112 119 120 121 127 132 136 140 154 160 165 168 170 176 187 204 210 220 224 231 238 240 242 254 255 264 272 280 289 308 330 336 340 352 357 363 374 381 385 408 420 440 462 476 480 484 508 510 528 544 560 561 578 595 605 616 635 660 672 680 714 726 748 762 770 816 840 847 867 880 889 924 935 952 968 1016 1020 1056 1120 1122 1155 1156 1190 1210 1232 1270 1309 1320 1331 1360 1397 1428 1445 1452 1496 1524 1540 1632 1680 1694 1734 1760 1778 1785 1815 1848 1870 1904 1905 1936 2023 2032 2040 2057 2159 2244 2310 2312 2380 2420 2464 2540 2541 2618 2640 2662 2667 2720 2794 2805 2856 2890 2904 2992 3048 3080 3179 3360 3388 3468 3556 3570 3630 3696 3740 3808 3810 3872 3927 3993 4046 4064 4080 4114 4191 4235 4318 4335 4445 4488 4620 4624 4760 4840 5080 5082 5236 5280 5324 5334 5588 5610 5712 5780 5808 5984 6069 6096 6160 6171 6358 6477 6545 6655 6776 6936 6985 7112 7140 7260 7392 7480 7620 7854 7986 8092 8160 8228 8382 8470 8636 8670 8890 8976 9240 9248 9317 9520 9537 9680 9779 10115 10160 10164 10285 10472 10648 10668 10795 11176 11220 11424 11560 11616 12138 12192 12320 12342 12705 12716 12954 13090 13310 13335 13552 13872 13970 14224 14280 14399 14520 14960 15113 15240 15367 15708 15895 15972 16184 16456 16764 16940 17272 17340 17780 17952 18480 18634 19040 19074 19360 19558 19635 19965 20230 20320 20328 20570 20944 20955 21296 21336 21590 22253 22352 22440 22627 23120 23749 24276 24684 25410 25432 25908 26180 26620 26670 27104 27744 27940 27951 28448 28560 28798 29040 29337 29920 30226 30345 30480 30734 30855 31416 31790 31944 32368 32385 32912 33528 33880 34544 34680 34969 35560 36703 36960 37268 38148 39116 39270 39930 40460 40656 41140 41888 41910 42592 42672 43180 43197 44506 44704 44880 45254 45339 46101 46240 46585 47498 47685 48552 48895 49368 50820 50864 51816 52360 53240 53340 55880 55902 57120 57596 58080 58674 60452 60690 60960 61468 61710 62832 63580 63888 64736 64770 65824 66759 67056 67760 67881 69088 69360 69938 71120 71247 71995 73406 74536 75565 76296 76835 78232 78540 79860 80920 81312 82280 83820 85344 86360 86394 89012 89760 90508 90678 92202 93170 94996 95370 97104 97790 98736 101640 101728 103632 104720 104907 106480 106680 107569 110109 111265 111760 111804 113135 115192 117348 118745 120904 121380 122936 123420 125664 127160 127776 129540 133518 134112 135520 135762 138720 139755 139876 142240 142494 143990 146685 146812 149072 151130 152592 153670 156464 157080 158389 159720 161840 164560 166243 167640 169037 172720 172788 174845 178024 181016 181356 183515 184404 186340 189992 190740 194208 195580 197472 203280 207264 209440 209814 212960 213360 215138 215985 220218 222530 223520 223608 226270 226695 230384 230505 234696 237490 241808 242760 244783 245872 246840 254320 256921 259080 261239 267036 271524 279510 279752 284988 287980 293370 293624 298144 302260 305184 307340 312928 314160 316778 319440 322707 323680 329120 332486 333795 335280 338074 339405 345440 345576 349690 356048 356235 362032 362712 367030 368808 372680 379984 381480 384659 391160 403733 406560 419628 426720 430276 431970 440436 445060 447216 452540 453390 460768 461010 469392 474980 475167 483616 485520 489566 491744 493680 498729 507111 508640 513842 518160 522478 524535 534072 537845 543048 550545 559020 559504 569976 575960 586740 587248 604520 614680 628320 633556 638880 645414 664972 667590 670560 676148 678810 691152 699380 712096 712470 724064 725424 734060 734349 737616 745360 759968 762960 769318 770763 782320 783717 791945 807466 831215 839256 845185 860552 863940 880872 890120 894432 905080 906780 922020 938784 949960 950334 971040 979132 987360 997458 1014222 1027684 1036320 1044956 1049070 1068144 1075690 1086096 1101090 1118040 1119008 1139952 1151920 1153977 1173480 1174496 1183259 1209040 1211199 1223915 1229360 1267112 1284605 1290828 1306195 1329944 1335180 1352296 1357620 1382304 1398760 1424940 1450848 1468120 1468698 1475232 1490720 1525920 1538636 1541526 1564640 1567434 1583890 1613535 1614932 1662430 1678512 1690370 1721104 1727880 1761744 1780240 1810160 1813560 1828673 1844040 1899920 1900668 1923295 1958264 1994916 2018665 2028444 2055368 2089912 2098140 2136288 2151380 2172192 2202180 2236080 2279904 2303840 2307954 2346960 2366518 2375835 2418080 2422398 2447830 2458720 2493645 2534224 2535555 2569210 2581656 2612390 2659888 2670360 2692613 2704592 2715240 2797520 2826131 2849880 2873629 2936240 2937396 3077272 3083052 3134868 3167780 3227070 3229864 3324860 3357024 3380740 3442208 3455760 3523488 3549777 3560480 3620320 3627120 3657346 3671745 3688080 3799840 3801336 3846590 3853815 3916528 3918585 3989832 4037330 4056888 4110736 4179824 4196280 4302760 4404360 4441063 4472160 4615908 4693920 4733036 4751670 4844796 4895660 4987290 5068448 5071110 5138420 5163312 5224780 5319776 5340720 5385226 5409184 5430480 5486019 5595040 5652262 5699760 5747258 5769885 5872480 5874792 5916295 6055995 6154544 6166104 6269736 6335560 6454140 6459728 6649720 6761480 6911520 7099554 7254240 7314692 7343490 7376160 7602672 7693180 7707630 7833056 7837170 7979664 8074660 8077839 8113776 8221472 8359648 8392560 8478393 8605520 8620887 8808720 8882126 9143365 9231816 9466072 9503340 9689592 9791320 9974580 10142220 10276840 10326624 10449560 10681440 10770452 10860960 10972038 11304524 11399520 11494516 11539770 11749584 11832590 12111990 12309088 12332208 12539472 12671120 12908280 12919456 13299440 13323189 13463065 13522960 14130655 14199108 14368145 14629384 14686980 15205344 15386360 15415260 15674340 15959328 16149320 16155678 16227552 16785120 16956786 17211040 17241774 17617440 17748885 17764252 18286730 18463632 18932144 19006680 19379184 19582640 19949160 20115403 20284440 20553680 20899120 21540904 21944076 22205315 22609048 22989032 23079540 23499168 23665180 24223980 24664416 25078944 25342240 25816560 26598880 26646378 26926130 27045920 27430095 28261310 28398216 28736290 29258768 29373960 30772720 30830520 31087441 31348680 32298640 32311356 33913572 34483548 35497770 35528504 36573460 36927264 37864288 38013360 38758368 39165280 39898320 40230806 40389195 40568880 41107360 41798240 42391965 43081808 43104435 43888152 44410630 45218096 45978064 46159080 47330360 48447960 48851693 51633120 53292756 53852260 54860190 56522620 56796432 57472580 58517536 58747920 60346209 61545440 61661040 62174882 62697360 64597280 64622712 66615945 67827144 68967096 70995540 71057008 73146920 76026720 79796640 80461612 80778390 81137760 84783930 86163616 86208870 87776304 88821260 90436192 91956128 92318160 93262323 94660720 96895920 97703386 100577015 106585512 107704520 109720380 113045240 113592864 114945160 117495840 120692418 123322080 124349764 125394720 129245424 133231890 135654288 137934192 141991080 142114016 146293840 146555079 155437205 160923224 161556780 169567860 172417740 175552608 177642520 184636320 186524646 189321440 193791840 195406772 201154030 213171024 215409040 219440760 226090480 229890320 241384836 244258465 248699528 258490848 266463780 271308576 275868384 283982160 292587680 293110158 301731045 310874410 321846448 323113560 339135720 341961851 344835480 355285040 373049292 390813544 402308060 426342048 430818080 438881520 452180960 459780640 466311615 482769672 488516930 497399056 532927560 567964320 586220316 603462090 621748820 643692896 646227120 678271440 683923702 689670960 710570080 732775395 746098584 781627088 804616120 877763040 932623230 965539344 977033860 994798112 1025885553 1065855120 1172440632 1206924180 1243497640 1292454240 1356542880 1367847404 1379341920 1465550790 1492197168 1563254176 1609232240 1709809255 1865246460 1931078688 1954067720 2051771106 2131710240 2344881264 2413848360 2486995280 2735694808 2931101580 2984394336 3218464480 3419618510 3730492920 3908135440 4103542212 4689762528 4827696720 4973990560 5129427765 5471389616 5862203160 6839237020 7460985840 7816270880 8207084424 9655393440 10258855530 10942779232 11724406320 13678474040 14921971680 16414168848 20517711060 23448812640 27356948080 32828337696 41035422120 54713896160 82070844240 164141688480
- Sum of all divisors σ(n): 695874945024
- Sum of proper divisors (its aliquot sum) s(n): 531733256544
- 164141688480 is an abundant number, because the sum of its proper divisors (531733256544) is greater than itself. Its abundance is 367591568064
Bases of 164141688480
- Binary: 100110001101111001101101100110101000002
- Hexadecimal: 0x26379B66A0
- Base-36: 23ELQ1EO
Squares and roots of 164141688480
- 164141688480 squared (1641416884802) is 26942493897065364710400
- 164141688480 cubed (1641416884803) is 4422386440126404280492062216192000
-
The
square root of 164141688480 is 405144.0342396763 -
The
cube root of 164141688480 is 5475.2795640487
Scales and comparisons
How big is 164141688480?- 164,141,688,480 seconds is equal to 5,219 years, 10 weeks, 2 days, 1 hour, 28 minutes.
-
To count from 1 to 164,141,688,480 would take you about ten thousand, four hundred thirty-eight 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 164141688480 cubic inches would be around 456.3 feet tall.
Recreational maths with 164141688480
- 164141688480 backwards is 084886141461
- 164141688480 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 164141688480's digits is 51
- More coming soon!
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The information we have on file for 164141688480 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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