3968671381920
3,968,671,381,920 is an even composite number composed of eight prime numbers multiplied together.
3968671381920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 3968671381920:
25 × 33 × 5 × 7 × 17 × 89 × 127 × 683
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 17 × 89 × 127 × 683)See below for interesting mathematical facts about the number 3968671381920 from the Numbermatics database.
Names of 3968671381920
- Cardinal: 3968671381920 can be written as Three trillion, nine hundred sixty-eight billion, six hundred seventy-one million, three hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.96867138192 × 1012
Factors of 3968671381920
Divisors of 3968671381920
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 40 42 45 48 51 54 56 60 63 68 70 72 80 84 85 89 90 96 102 105 108 112 119 120 126 127 135 136 140 144 153 160 168 170 178 180 189 204 210 216 224 238 240 252 254 255 267 270 272 280 288 306 315 336 340 356 357 360 378 381 408 420 432 445 459 476 480 504 508 510 534 540 544 560 595 612 623 630 635 672 680 683 712 714 720 756 762 765 801 816 840 864 889 890 918 945 952 1008 1016 1020 1068 1071 1080 1120 1143 1190 1224 1246 1260 1270 1335 1360 1366 1424 1428 1440 1512 1513 1524 1530 1602 1632 1680 1778 1780 1785 1836 1869 1890 1904 1905 2016 2032 2040 2049 2136 2142 2159 2160 2286 2295 2380 2403 2448 2492 2520 2540 2667 2670 2720 2732 2848 2856 3024 3026 3048 3060 3115 3204 3213 3360 3415 3429 3556 3560 3570 3672 3738 3780 3808 3810 4005 4064 4080 4098 4272 4284 4318 4320 4445 4539 4572 4590 4760 4781 4806 4896 4984 5040 5080 5334 5340 5355 5464 5607 5712 5715 6048 6052 6096 6120 6147 6230 6408 6426 6477 6830 6858 7112 7120 7140 7344 7476 7560 7565 7620 8001 8010 8160 8196 8544 8568 8636 8890 9078 9144 9180 9345 9520 9562 9612 9968 10080 10160 10245 10591 10668 10680 10710 10795 10928 11214 11303 11424 11430 11611 12015 12104 12192 12240 12294 12460 12816 12852 12954 13335 13617 13660 13716 14224 14240 14280 14343 14688 14952 15113 15120 15130 15240 16002 16020 16065 16392 16821 17136 17145 17272 17780 18156 18288 18360 18441 18690 19040 19124 19224 19431 19936 20320 20490 21182 21336 21360 21420 21590 21856 22428 22606 22695 22860 23222 23905 24003 24030 24208 24480 24588 24920 25632 25704 25908 26670 27234 27320 27432 28035 28448 28560 28686 29904 30226 30240 30260 30480 30735 31773 32004 32040 32130 32385 32784 33642 33909 34272 34290 34544 34833 35560 36312 36576 36720 36882 37380 38248 38448 38862 40005 40851 40980 42364 42672 42720 42840 43029 43180 44856 45212 45339 45390 45720 46444 47810 48006 48060 48416 49176 49840 51408 51816 52955 53340 54468 54640 54864 56070 56515 57120 57372 58055 58293 59808 60452 60520 60787 60960 61470 63546 64008 64080 64260 64770 65568 67284 67818 68085 68580 69088 69666 71120 71715 72624 73440 73764 74760 75565 76496 76896 77724 79121 80010 81277 81702 81960 84105 84728 85344 85680 86058 86360 86741 89712 90424 90678 90780 91440 92205 92888 95319 95620 96012 96120 97155 98352 99680 101727 102816 103632 104499 105910 106680 108936 109280 109728 112140 113030 114744 116110 116586 120015 120904 121040 121574 122940 127092 128016 128160 128520 129087 129540 134568 135636 136017 136170 137160 139332 142240 143430 145248 147528 149520 151130 152992 155448 158242 158865 160020 162554 163404 163920 168210 169456 169545 171360 172116 172720 173482 174165 179424 180848 181356 181560 182361 182880 184410 185776 190638 191240 192024 192151 192240 194310 196704 203454 204255 207264 208998 211820 213360 215145 217872 224280 226060 226695 229488 232220 233172 237363 240030 241808 242080 243148 243831 245880 254184 256032 257040 258174 259080 260223 269136 271272 272034 272340 274320 278664 285957 286860 291465 295056 299040 302260 303935 305181 310896 313497 316484 317730 320040 325108 326808 327840 336420 338912 339090 344232 345440 346964 348330 361696 362712 363120 364722 368820 371552 381276 382480 384048 384302 384480 388620 395605 406385 406908 408051 408510 417996 423640 425509 426720 430290 433705 435744 448560 452120 453390 458976 464440 466344 474726 476595 480060 483616 486296 487662 491760 508368 508635 514080 516348 518160 520446 522495 538272 542544 544068 544680 547083 548640 557328 571914 573720 576453 582930 590112 604520 607187 607870 610362 621792 626994 632968 635460 640080 645435 650216 653616 672840 678180 680085 688464 693928 696660 712089 725424 726240 729444 731493 737640 762552 764960 768096 768604 777240 780669 791210 812770 813816 816102 817020 835992 847280 851018 860580 867410 897120 904240 906780 911805 928880 932688 949452 953190 960120 960755 972592 975324 983520 1016736 1017270 1032696 1033379 1036320 1040892 1044990 1085088 1088136 1089360 1094166 1114656 1143828 1147440 1152906 1165860 1186815 1209040 1214374 1215740 1219155 1220724 1253988 1265936 1270920 1276527 1280160 1290870 1300432 1301115 1307232 1345057 1345680 1356360 1360170 1376928 1387856 1393320 1424178 1429785 1450848 1458888 1462986 1474597 1475280 1525104 1525905 1537208 1554480 1561338 1567485 1582420 1625540 1627632 1632204 1634040 1641249 1671984 1694560 1702036 1721160 1729359 1734820 1808480 1813560 1821561 1823610 1857760 1865376 1898904 1906380 1920240 1921510 1945184 1950648 2034540 2040255 2065392 2066758 2081784 2089980 2127545 2136267 2176272 2178720 2188332 2194479 2287656 2294880 2305812 2331720 2342007 2373630 2418080 2428748 2431480 2438310 2441448 2507976 2531872 2541840 2553054 2581740 2600864 2602230 2690114 2691360 2712720 2720340 2735415 2775712 2786640 2848356 2859570 2882265 2917776 2925972 2949194 2950560 3035935 3050208 3051810 3074416 3100137 3108960 3122676 3134970 3164840 3251080 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32281368 32644080 32788098 32824980 33068128 34040720 34180272 34587180 35111664 35390328 36168265 36316539 36431220 37201644 37472112 37978080 38295810 38599745 39012960 39814119 40351710 40848864 41288716 41335160 41504616 41635680 42725340 43041824 43401918 43717464 43766640 43889580 44237910 45753120 45954972 46116240 46319694 46502055 46840140 47187104 48422052 48574960 48828960 49602192 50159520 51061080 51610895 51880770 52519968 53085492 53802280 54039643 54646830 55339488 55802466 56967120 57443715 57869224 58289952 58519440 58983880 60527565 61273296 61759592 61933074 62002740 62453520 64562736 65102877 65288160 65576196 65649960 66356865 68081440 68360544 69174360 69479541 70223328 70780656 72336530 72633078 72862440 74403288 74944224 76591620 77199490 79628238 80703420 81970245 82577432 82670320 83009232 85450680 86803836 87434928 87533280 87779160 88475820 91909944 92232480 92639388 92899611 93004110 93680280 96844104 97149920 99204384 102122160 103221790 103761540 106170984 107604560 108079286 108504795 109293660 111604932 113934240 114887430 115738448 115799235 117038880 117967760 121055130 122546592 123519184 123866148 124005480 124907040 129125472 130205754 131152392 131239133 131299920 132713730 138348720 138959082 139506165 141561312 144673060 145266156 145724880 148806576 153183240 154398980 154832685 159256476 161406840 162118929 163940490 165154864 165340640 166018464 170901360 173607672 174869856 175558320 176951640 181582695 183819888 185278776 185799222 186008220 187360560 193688208 195308631 199070595 204244320 206443580 207523080 208438623 212341968 215209120 216158572 217009590 218587320 223209864 229774860 231476896 231598470 235935520 242110260 247038368 247732296 248010960 260411508 262304784 262478266 262599840 265427460 270198215 276697440 277918164 278698833 279012330 289346120 290532312 291449760 297613152 306366480 308797960 309665370 318512952 322813680 324237858 325514385 327880980 330309728 341802720 347215344 347397705 351116640 353903280 363165390 367639776 370557552 371598444 372016440 374721120 387376416 390617262 393717399 398141190 412887160 415046160 416877246 424683936 432317144 434019180 437174640 446419728 459549720 463196940 464498055 484220520 486356787 495464592 496021920 520823016 524609568 524956532 530854920 540396430 555836328 557397666 558024660 578692240 581064624 612732960 617595920 619330740 637025904 645627360 648475716 651028770 655761960 656195665 694430688 694795410 707806560 726330780 741115104 743196888 744032880 781234524 787434798 796282380 810594645 825774320 830092320 833754492 864634288 868038360 874349280 892839456 918673931 919099440 926393880 928996110 968441040 972713574 976543155 990929184 1041646032 1042193115 1049913064 1061709840 1080792860 1111672656 1114795332 1116049320 1157384480 1162129248 1181152197 1235191840 1238661480 1274051808 1296951432 1302057540 1311523920 1312391330 1389590820 1393494165 1452661560 1459070361 1486393776 1488065760 1562469048 1574869596 1592564760 1621189290 1651548640 1667508984 1729268576 1736076720 1837347862 1838198880 1852787760 1857992220 1936882080 1945427148 1953086310 1968586995 2083292064 2084386230 2099826128 2123419680 2161585720 2223345312 2229590664 2232098640 2362304394 2431783935 2477322960 2593902864 2604115080 2623047840 2624782660 2756021793 2779181640 2786988330 2905323120 2918140722 2972787552 3124938096 3149739192 3185129520 3242378580 3335017968 3472153440 3543456591 3674695724 3705575520 3715984440 3890854296 3906172620 3937173990 4168772460 4199652256 4323171440 4459181328 4464197280 4593369655 4724608788 4863567870 4954645920 5187805728 5208230160 5249565320 5512043586 5558363280 5573976660 5810646240 5836281444 5905760985 6249876192 6299478384 6370259040 6484757160 6670035936 7086913182 7295351805 7349391448 7431968880 7781708592 7812345240 7874347980 8268065379 8337544920 8646342880 8918362656 9186739310 9449217576 9727135740 10416460320 10499130640 11024087172 11116726560 11147953320 11672562888 11811521970 12598956768 12969514320 13780108965 14173826364 14590703610 14698782896 14863937760 15563417184 15624690480 15748695960 16536130758 16675089840 17717282955 18373478620 18898435152 19454271480 20998261280 22048174344 22295906640 23345125776 23623043940 24804196137 25939028640 27560217930 28347652728 29181407220 29397565792 31249380960 31497391920 33072261516 33350179680 35434565910 36746957240 37796870304 38908542960 41340326895 44096348688 44591813280 46690251552 47246087880 49608392274 55120435860 56695305456 58362814440 62994783840 66144523032 70869131820 73493914480 77817085920 82680653790 88192697376 94492175760 99216784548 110240871720 113390610912 116725628880 124020980685 132289046064 141738263640 146987828960 165361307580 188984351520 198433569096 220481743440 233451257760 248041961370 264578092128 283476527280 330722615160 396867138192 440963486880 496083922740 566953054560 661445230320 793734276384 992167845480 1322890460640 1984335690960 3968671381920
- Sum of all divisors σ(n): 17156269670400
- Sum of proper divisors (its aliquot sum) s(n): 13187598288480
- 3968671381920 is an abundant number, because the sum of its proper divisors (13187598288480) is greater than itself. Its abundance is 9218926906560
Bases of 3968671381920
- Binary: 1110011100000001110011111101111001101000002
- Hexadecimal: 0x39C073F79A0
- Base-36: 1EN6KH0O0
Squares and roots of 3968671381920
- 3968671381920 squared (39686713819202) is 15750352537670802502886400
- 3968671381920 cubed (39686713819203) is 62507973371405162627165563876773888000
-
The
square root of 3968671381920 is 1992152.4494676605 -
The
cube root of 3968671381920 is 15832.4592838203
Scales and comparisons
How big is 3968671381920?- 3,968,671,381,920 seconds is equal to 126,191 years, 24 weeks, 4 days, 13 hours, 12 minutes.
-
To count from 1 to 3,968,671,381,920 would take you about three hundred fifteen thousand, four hundred seventy-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 3968671381920 cubic inches would be around 1319.4 feet tall.
Recreational maths with 3968671381920
- 3968671381920 backwards is 0291831768693
- 3968671381920 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3968671381920's digits is 63
- More coming soon!
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"Number 3968671381920 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 3968671381920 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/3968671381920/
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The information we have on file for 3968671381920 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!
Keywords: Divisors of 3968671381920, math, Factors of 3968671381920, curriculum, school, college, exams, university, Prime factorization of 3968671381920, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred sixty-eight billion, six hundred seventy-one million, three hundred eighty-one thousand, nine hundred twenty.