4128818016960
4,128,818,016,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 4128818016960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
4128818016960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 4128818016960:
26 × 32 × 5 × 7 × 132 × 353 × 3433
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 13 × 353 × 3433)See below for interesting mathematical facts about the number 4128818016960 from the Numbermatics database.
Names of 4128818016960
- Cardinal: 4128818016960 can be written as Four trillion, one hundred twenty-eight billion, eight hundred eighteen million, sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.12881801696 × 1012
Factors of 4128818016960
Divisors of 4128818016960
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 140 144 156 160 168 169 180 182 192 195 208 210 224 234 240 252 260 273 280 288 312 315 320 336 338 353 360 364 390 416 420 448 455 468 480 504 507 520 546 560 576 585 624 630 672 676 706 720 728 780 819 832 840 845 910 936 960 1008 1014 1040 1059 1092 1120 1170 1183 1248 1260 1344 1352 1365 1412 1440 1456 1521 1560 1638 1680 1690 1765 1820 1872 2016 2028 2080 2118 2184 2240 2340 2366 2471 2496 2520 2535 2704 2730 2824 2880 2912 3042 3120 3177 3276 3360 3380 3433 3530 3549 3640 3744 4032 4056 4095 4160 4236 4368 4589 4680 4732 4942 5040 5070 5295 5408 5460 5648 5824 5915 6084 6240 6354 6552 6720 6760 6866 7060 7098 7280 7413 7488 7605 8112 8190 8472 8736 9178 9360 9464 9884 10080 10140 10299 10590 10647 10816 10920 11296 11830 12168 12355 12480 12708 13104 13520 13732 13767 14120 14196 14560 14826 15210 15885 16224 16380 16944 17165 17472 17745 18356 18720 18928 19768 20160 20280 20598 21180 21294 21840 22239 22592 22945 23660 24031 24336 24710 25416 26208 27040 27464 27534 28240 28392 29120 29652 30420 30897 31770 32123 32448 32760 33888 34330 35490 36712 37065 37440 37856 39536 40560 41196 41301 42360 42588 43680 44478 44629 45890 47320 48062 48672 49420 50832 51495 52416 53235 54080 54928 55068 56480 56784 59304 59657 60840 61794 63540 64246 65520 67776 68660 68835 70980 72093 73424 74130 75712 79072 81120 82392 82602 84720 85176 87360 88956 89258 91780 94640 96124 96369 97344 98840 101664 102990 106470 109856 110136 111195 112960 113568 118608 119314 120155 121680 123588 127080 128492 131040 133887 137320 137670 141960 144186 146848 148260 154485 158144 160615 162240 164784 165204 169440 170352 177912 178516 178971 183560 189280 192248 192738 197680 203328 205980 206505 212940 216279 219712 220272 222390 223145 227136 237216 238628 240310 243360 247176 254160 256984 262080 267774 274640 275340 283920 288372 289107 293696 296520 298285 308970 312403 321230 329568 330408 338880 340704 355824 357032 357942 360465 367120 378560 384496 385476 395360 401661 411960 413010 417599 425880 432558 440544 444780 446290 474432 477256 480620 481845 486720 494352 508320 513968 535548 536913 549280 550680 567840 576744 578214 580177 593040 596570 617940 624806 642460 659136 660816 669435 681408 711648 714064 715884 720930 734240 768992 770952 790720 803322 823920 826020 835198 851760 865116 881088 889560 892580 894855 937209 954512 961240 963690 988704 1016640 1027936 1071096 1073826 1081395 1098560 1101360 1135680 1153488 1156428 1160354 1186080 1193140 1211849 1235880 1249612 1252797 1284920 1321632 1338870 1423296 1428128 1431768 1441860 1445535 1468480 1537984 1541904 1562015 1606644 1647840 1652040 1670396 1703520 1730232 1740531 1779120 1785160 1789710 1874418 1909024 1922480 1927380 1977408 2008305 2055872 2087995 2142192 2147652 2162790 2202720 2306976 2312856 2320708 2372160 2386280 2423698 2471760 2499224 2505594 2569840 2643264 2677740 2684565 2811627 2856256 2863536 2883720 2891070 2900885 3083808 3124030 3213288 3295680 3304080 3340792 3407040 3460464 3481062 3558240 3570320 3579420 3635547 3748836 3758391 3818048 3844960 3854760 4016610 4061239 4175990 4284384 4295304 4325580 4405440 4613952 4625712 4641416 4686045 4772560 4847396 4943520 4998448 5011188 5139680 5221593 5355480 5369130 5623254 5727072 5767440 5782140 5801770 6059245 6167616 6248060 6263985 6426576 6608160 6681584 6920928 6962124 7116480 7140640 7158840 7271094 7497672 7516782 7689920 7709520 8033220 8122478 8351980 8482943 8568768 8590608 8651160 8702655 9251424 9282832 9372090 9545120 9694792 9887040 9996896 10022376 10279360 10443186 10710960 10738260 10906641 11246508 11454144 11534880 11564280 11603540 12118490 12183717 12496120 12527970 12853152 13216320 13363168 13841856 13924248 14058135 14281280 14317680 14542188 14995344 15033564 15419040 15754037 16066440 16244956 16703960 16965886 17181216 17302320 17405310 18177735 18502848 18565664 18744180 18791955 19090240 19389584 19993792 20044752 20306195 20886372 21421920 21476520 21813282 22493016 23069760 23128560 23207080 24236980 24367434 24992240 25055940 25448829 25706304 26107965 26726336 27848496 28116270 28635360 29084376 29990688 30067128 30838080 31508074 32132880 32489912 33407920 33931772 34362432 34604640 34810620 36355470 36551151 37131328 37488360 37583910 38779168 40089504 40612390 41772744 42414715 42843840 42953040 43626564 44986032 46257120 46414160 47262111 48473960 48734868 49984480 50111880 50897658 52215930 54533205 55696992 56232540 57270720 58168752 59981376 60134256 60918585 63016148 64265760 64979824 66815840 67863544 69209280 69621240 72710940 73102302 74976720 75167820 76346487 77558336 78770185 80179008 81224780 83545488 84829430 85906080 87253128 89972064 92514240 92828320 94524222 96947920 97469736 99968960 100223760 101795316 104431860 109066410 110278259 111393984 112465080 116337504 120268512 121837170 126032296 127244145 128531520 129959648 133631680 135727088 139242480 141786333 145421880 146204604 149953440 150335640 152692974 157540370 162449560 167090976 169658860 171812160 174506256 179944128 182755755 185656640 189048444 193895840 194939472 200447520 203590632 204802481 208863720 218132820 220556518 224930160 232675008 236310555 240537024 243674340 252064592 254488290 259919296 271454176 278484960 283572666 290843760 292409208 299906880 300671280 305385948 315080740 324899120 330834777 334181952 339317720 349012512 365511510 378096888 381732435 387791680 389878944 400895040 407181264 409604962 417727440 436265640 441113036 449860320 472621110 487348680 504129184 508976580 542908352 551391295 556969920 567145332 581687520 584818416 601342560 610771896 614407443 630161480 649798240 661669554 678635440 698025024 708931665 731023020 756193776 763464870 779757888 814362528 819209924 835454880 872531280 882226072 899720640 945242220 974697360 992504331 1008258368 1017953160 1024012405 1102782590 1134290664 1163375040 1169636832 1202685120 1221543792 1228814886 1260322960 1299596480 1323339108 1357270880 1417863330 1433617367 1462046040 1512387552 1526929740 1628725056 1638419848 1654173885 1670909760 1745062560 1764452144 1843222329 1890484440 1949394720 1985008662 2035906320 2048024810 2205565180 2268581328 2339273664 2443087584 2457629772 2520645920 2646678216 2714541760 2835726660 2867234734 2924092080 3024775104 3053859480 3072037215 3276839696 3308347770 3490125120 3528904288 3686444658 3780968880 3898789440 3970017324 4071812640 4096049620 4300852101 4411130360 4537162656 4886175168 4915259544 4962521655 5041291840 5293356432 5671453320 5734469468 5848184160 6107718960 6144074430 6553679392 6616695540 7057808576 7168086835 7372889316 7561937760 7940034648 8143625280 8192099240 8601704202 8822260720 9074325312 9216111645 9830519088 9925043310 10586712864 11342906640 11468938936 11696368320 12215437920 12288148860 12902556303 13107358784 13233391080 14336173670 14745778632 15123875520 15880069296 16384198480 17203408404 17644521440 18432223290 19661038176 19850086620 21173425728 21504260505 22685813280 22937877872 24430875840 24576297720 25805112606 26466782160 28672347340 29491557264 31760138592 32768396960 34406816808 35289042880 36864446580 39322076352 39700173240 43008521010 45371626560 45875755744 49152595440 51610225212 52933564320 57344694680 58983114528 63520277184 64512781515 65536793920 68813633616 73728893160 79400346480 86017042020 91751511488 98305190880 103220450424 105867128640 114689389360 117966229056 129025563030 137627267232 147457786320 158800692960 172034084040 196610381760 206440900848 229378778720 258051126060 275254534464 294915572640 317601385920 344068168080 412881801696 458757557440 516102252120 589831145280 688136336160 825763603392 1032204504240 1376272672320 2064409008480 4128818016960
- Sum of all divisors σ(n): 17629620076224
- Sum of proper divisors (its aliquot sum) s(n): 13500802059264
- 4128818016960 is an abundant number, because the sum of its proper divisors (13500802059264) is greater than itself. Its abundance is 9371984042304
Bases of 4128818016960
- Binary: 1111000001010100001011101100110010110000002
- Hexadecimal: 0x3C150BB32C0
- Base-36: 1GOR3N740
Squares and roots of 4128818016960
- 4128818016960 squared (41288180169602) is 17047138217173506847641600
- 4128818016960 cubed (41288180169603) is 70384531408673348358928571764801536000
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The
square root of 4128818016960 is 2031949.3145647113 -
The
cube root of 4128818016960 is 16042.6181728343
Scales and comparisons
How big is 4128818016960?- 4,128,818,016,960 seconds is equal to 131,283 years, 33 weeks, 2 days, 13 hours, 36 minutes.
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To count from 1 to 4,128,818,016,960 would take you about three hundred twenty-eight thousand, two hundred 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 4128818016960 cubic inches would be around 1336.9 feet tall.
Recreational maths with 4128818016960
- 4128818016960 backwards is 0696108188214
- The number of decimal digits it has is: 13
- The sum of 4128818016960's digits is 54
- More coming soon!
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The information we have on file for 4128818016960 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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