84428047543840
84,428,047,543,840 is an even composite number composed of eight prime numbers multiplied together.
What does the number 84428047543840 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
84428047543840 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 84428047543840:
25 × 5 × 7 × 112 × 13 × 31 × 97 × 15937
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 13 × 31 × 97 × 15937)See below for interesting mathematical facts about the number 84428047543840 from the Numbermatics database.
Names of 84428047543840
- Cardinal: 84428047543840 can be written as Eighty-four trillion, four hundred twenty-eight billion, forty-seven million, five hundred forty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 8.442804754384 × 1013
Factors of 84428047543840
Divisors of 84428047543840
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 31 32 35 40 44 52 55 56 62 65 70 77 80 88 91 97 104 110 112 121 124 130 140 143 154 155 160 176 182 194 208 217 220 224 242 248 260 280 286 308 310 341 352 364 385 388 403 416 434 440 455 484 485 496 520 560 572 605 616 620 679 682 715 728 770 776 806 847 868 880 910 968 970 992 1001 1040 1067 1085 1120 1144 1210 1232 1240 1261 1358 1364 1430 1456 1540 1552 1573 1612 1694 1705 1736 1760 1820 1936 1940 2002 2015 2080 2134 2170 2288 2387 2420 2464 2480 2522 2716 2728 2821 2860 2912 3007 3080 3104 3146 3224 3388 3395 3410 3472 3640 3751 3872 3880 4004 4030 4235 4268 4340 4433 4576 4774 4840 4960 5005 5044 5335 5432 5456 5642 5720 6014 6160 6292 6305 6448 6776 6790 6820 6944 7280 7469 7502 7760 7865 8008 8060 8470 8536 8680 8827 8866 9548 9680 10010 10088 10670 10864 10912 11011 11284 11440 11737 11935 12028 12320 12584 12610 12896 13552 13580 13640 13871 14105 14560 14938 15004 15035 15520 15730 15937 16016 16120 16940 17072 17360 17654 17732 18755 19096 19360 20020 20176 21049 21340 21728 22022 22165 22568 22880 23474 23870 24056 25168 25220 26257 27104 27160 27280 27742 28210 29876 30008 30070 31031 31460 31874 32032 32240 33077 33880 34144 34720 35308 35464 37345 37510 38192 39091 40040 40352 42098 42680 44044 44135 44330 45136 46948 47740 48112 48763 50336 50440 52514 54320 54560 55055 55484 56420 58685 59752 60016 60140 62062 62920 63748 64480 66154 67760 69355 70616 70928 74690 75020 76384 78182 79685 80080 82159 84196 85360 88088 88270 88660 90272 93896 95480 96224 97097 97526 100880 105028 105245 108640 110110 110968 111559 112840 117370 119504 120032 120280 124124 125840 127496 131285 132308 135520 138710 141232 141856 149380 150040 152581 155155 156364 159370 160160 164318 165385 168392 170720 175307 176176 176540 177320 187792 190960 194194 195052 195455 201760 207181 210056 210490 220220 221936 223118 225680 231539 234740 239008 240560 243815 248248 251680 254992 262570 264616 273637 277420 282464 298760 300080 305162 310310 312728 318740 328636 330770 336784 341341 350614 352352 353080 354640 363847 375584 381920 388388 390104 390910 410795 414362 420112 420980 430001 440440 443872 446236 451360 463078 469480 481120 485485 487630 494047 496496 509984 525140 529232 547274 554840 557795 597520 600160 610324 620620 625456 637480 657272 661540 673568 682682 701228 706160 709280 727694 762905 776776 780208 781820 821590 828724 840224 841960 860002 876535 880880 892472 926156 938960 970970 975260 988094 992992 1035905 1050280 1058464 1068067 1094548 1109680 1115590 1157695 1195040 1220648 1227149 1241240 1250912 1274960 1314544 1323080 1365364 1368185 1402456 1412320 1450267 1455388 1525810 1545889 1553552 1560416 1563640 1643180 1657448 1683920 1706705 1720004 1753070 1761760 1784944 1819235 1852312 1877920 1928377 1941940 1950520 1976188 2071810 2100560 2136134 2150005 2189096 2219360 2231180 2278991 2315390 2441296 2454298 2470235 2482480 2546929 2549920 2629088 2646160 2730728 2736370 2804912 2900534 2910776 3010007 3051620 3091778 3107104 3127280 3286360 3314896 3367840 3413410 3440008 3458329 3506140 3569888 3638470 3704624 3856754 3883880 3901040 3952376 4143620 4201120 4272268 4300010 4378192 4462360 4557982 4630780 4730011 4882592 4908596 4940470 4964960 5093858 5292320 5340335 5434517 5461456 5472740 5609824 5801068 5821552 6020014 6103240 6135745 6183556 6254560 6422611 6572720 6629792 6826820 6880016 6916658 7012280 7251335 7276940 7409248 7713508 7729445 7767760 7802080 7904752 8287240 8544536 8600020 8756384 8924720 9115964 9261560 9460022 9641885 9817192 9880940 10187716 10680670 10821223 10869034 10922912 10945480 11394955 11602136 11643104 12040028 12206480 12271490 12367112 12734645 12845222 13145440 13498639 13653640 13760032 13833316 14024560 14502670 14553880 15050035 15427016 15458890 15535520 15809504 15952937 16574480 17004779 17089072 17200040 17291645 17849440 18231928 18523120 18920044 19283770 19634384 19761880 20096557 20375432 21361340 21642446 21738068 21890960 22789910 23204272 23650055 24080056 24412960 24542980 24734224 25068901 25469290 25690444 26997278 27172585 27307280 27666632 28049120 29005340 29107760 30100070 30854032 30917780 31905874 32113055 33110077 33148960 34009558 34178144 34400080 34583290 36463856 37046240 37840088 38041619 38567540 39268768 39523760 40193114 40750864 42722680 43284892 43476136 43781920 44958277 45579820 46408544 47300110 47922559 48160112 49085960 49468448 50137802 50938580 51380888 53994556 54106115 54345170 54614560 55333264 58010680 58215520 59779687 60200140 61708064 61835560 63811748 64226110 66220154 67493195 68019116 68800160 69166580 70648721 72927712 75680176 76083238 77135080 79047520 79764685 80386228 81501728 85023895 85445360 86569784 86952272 89916554 91159640 94600220 95845118 96320224 98171920 100275604 100482785 101877160 102761776 107989112 108212230 108690340 110666528 116021360 119033453 119559374 120400280 123671120 125344505 127623496 128452220 132440308 134986390 136038232 138333160 140675899 141297442 151360352 152166476 154270160 159529370 160772456 165550385 170047790 170890720 173139568 173904544 175482307 179833108 182319280 187052569 189200440 190208095 191690236 196343840 200551208 200965570 203754320 205523552 215978224 216424460 217380680 221062127 224791385 232042720 238066906 239118748 239612795 240800560 247342240 250689010 255246992 256904440 264880616 269972780 272076464 276666320 281351798 282594884 298898435 304332952 308540320 319058740 321544912 331100770 335457913 340095580 346279136 350964614 353243605 359666216 364638560 374105138 378400880 380416190 383380472 401102416 401931140 407508640 418457809 431956448 432848920 434761360 442124254 449582770 476133812 478237496 479225590 481601120 494541047 501378020 510493984 513808880 527148149 529761232 539945560 544152928 553332640 562703596 565189768 595167265 597796870 608665904 622993267 638117480 643089824 662201540 670915826 680191160 701929228 703379495 706487210 719332432 748210276 756801760 760832380 766760944 777135931 802204832 803862280 836915618 865697840 869522720 877411535 884248508 899165540 935262845 952267624 956474992 958451180 989082094 1002756040 1027617760 1054296298 1059522464 1079891120 1105310635 1125407192 1130379536 1190334530 1195593740 1217331808 1245986534 1276234960 1309367983 1324403080 1341831652 1360382320 1403858456 1406758990 1412974420 1438664864 1496420552 1521664760 1533521888 1547434889 1554271862 1607724560 1673831236 1677289565 1731395680 1754823070 1768497016 1798331080 1870525690 1904535248 1912949984 1916902360 1978164188 2005512080 2092289045 2108592596 2159782240 2210621270 2250814384 2260759072 2380669060 2391187480 2431683397 2472705235 2491973068 2552469920 2618735966 2635740745 2648806160 2683663304 2720764640 2807716912 2813517980 2825948840 2992841104 3043329520 3094869778 3108543724 3114966335 3215449120 3347662472 3354579130 3509646140 3536994032 3596662160 3690037043 3741051380 3809070496 3833804720 3885679655 3956328376 4011024160 4184578090 4217185192 4360952869 4421242540 4501628768 4761338120 4782374960 4863366794 4945410470 4983946136 5237471932 5271481490 5297612320 5367326608 5439951517 5615433824 5627035960 5651897680 5798629639 5985682208 6086659040 6189739556 6217087448 6229932670 6546839915 6695324944 6709158260 6852925937 7019292280 7073988064 7193324320 7380074086 7482102760 7667609440 7737174445 7771359310 7912656752 8369156180 8434370384 8721905738 8842485080 9522676240 9564749920 9726733588 9890820940 9967892272 10474943864 10542962980 10734653216 10879903034 11254071920 11303795360 11597259278 12158416985 12379479112 12434174896 12459865340 13093679830 13390649888 13418316520 13705851874 14038584560 14760148172 14964205520 15474348890 15542718620 15825313504 16738312360 16868740768 17021783779 17443811476 17684970160 18450185215 19045352480 19453467176 19781641880 19935784544 20949887728 21085925960 21759806068 21804764345 22508143840 23194518556 24316833970 24758958224 24868349792 24919730680 26187359660 26836633040 27199757585 27411703748 28077169120 28993148195 29520296344 29928411040 30948697780 31085437240 33476624720 34043567558 34264629685 34887622952 35369940320 36900370430 38906934352 39563283760 40590407473 41899775456 42171851920 43519612136 43609528690 46389037112 47970481559 48633667940 49517916448 49839461360 52374719320 53673266080 54399515170 54823407496 57986296390 59040592688 61897395560 62170874480 66953249440 68087135116 68529259370 69775245904 73800740860 75382185307 77813868704 79126567520 81180814946 84343703840 85108918895 87039224272 87219057380 92778074224 95940963118 97267335880 99678922720 104749438640 108799030340 109646814992 115972592780 118081185376 123794791120 124341748960 136174270232 137058518740 139550491808 147601481720 150764370614 162361629892 170217837790 174078448544 174438114760 185556148448 191881926236 194534671760 202952037365 209498877280 217598060680 219293629984 231945185560 239852407795 247589582240 272348540464 274117037480 295202963440 301528741228 324723259784 340435675580 348876229520 376910926535 383763852472 389069343520 405904074730 435196121360 463890371120 479704815590 527675297149 544697080928 548234074960 590405926880 603057482456 649446519568 680871351160 697752459040 753821853070 767527704944 811808149460 870392242720 927780742240 959409631180 1055350594298 1096468149920 1206114964912 1298893039136 1361742702320 1507643706140 1535055409888 1623616298920 1918819262360 2110701188596 2412229929824 2638376485745 2723485404640 3015287412280 3247232597840 3837638524720 4221402377192 5276752971490 6030574824560 6494465195680 7675277049440 8442804754384 10553505942980 12061149649120 16885609508768 21107011885960 42214023771920 84428047543840
- Sum of all divisors σ(n): 281430615158784
- Sum of proper divisors (its aliquot sum) s(n): 197002567614944
- 84428047543840 is an abundant number, because the sum of its proper divisors (197002567614944) is greater than itself. Its abundance is 112574520071104
Bases of 84428047543840
- Binary: 100110011001001011011111100100001101110001000002
- Hexadecimal: 0x4CC96FC86E20
- Base-36: TXDPJN1GG
Squares and roots of 84428047543840
- 84428047543840 squared (844280475438402) is 7128095212064907456721945600
- 84428047543840 cubed (844280475438403) is 601811161461234273936150160311906095104000
-
The
square root of 84428047543840 is 9188473.6242664373 -
The
cube root of 84428047543840 is 43869.4559673327
Scales and comparisons
How big is 84428047543840?- 84,428,047,543,840 seconds is equal to 2,684,550 years, 39 weeks, 3 days, 4 hours, 50 minutes, 40 seconds.
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To count from 1 to 84,428,047,543,840 would take you about six million, seven hundred eleven thousand, three hundred seventy-six 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 84428047543840 cubic inches would be around 3655.8 feet tall.
Recreational maths with 84428047543840
- 84428047543840 backwards is 04834574082448
- The number of decimal digits it has is: 14
- The sum of 84428047543840's digits is 61
- More coming soon!
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The information we have on file for 84428047543840 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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