10072006984640640
10,072,006,984,640,640 is an even composite number composed of eight prime numbers multiplied together.
10072006984640640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 10072006984640640:
27 × 3 × 5 × 13 × 19 × 31 × 8191 × 83641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 31 × 8191 × 83641)See below for interesting mathematical facts about the number 10072006984640640 from the Numbermatics database.
Names of 10072006984640640
- Cardinal: 10072006984640640 can be written as Ten quadrillion, seventy-two trillion, six billion, nine hundred eighty-four million, six hundred forty thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.007200698464064 × 1016
Factors of 10072006984640640
Divisors of 10072006984640640
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 31 32 38 39 40 48 52 57 60 62 64 65 76 78 80 93 95 96 104 114 120 124 128 130 152 155 156 160 186 190 192 195 208 228 240 247 248 260 285 304 310 312 320 372 380 384 390 403 416 456 465 480 494 496 520 570 589 608 620 624 640 741 744 760 780 806 832 912 930 960 988 992 1040 1140 1178 1209 1216 1235 1240 1248 1482 1488 1520 1560 1612 1664 1767 1824 1860 1920 1976 1984 2015 2080 2280 2356 2418 2432 2470 2480 2496 2945 2964 2976 3040 3120 3224 3534 3648 3705 3720 3952 3968 4030 4160 4560 4712 4836 4940 4960 4992 5890 5928 5952 6045 6080 6240 6448 7068 7296 7410 7440 7657 7904 8060 8191 8320 8835 9120 9424 9672 9880 9920 11780 11856 11904 12090 12160 12480 12896 14136 14820 14880 15314 15808 16120 16382 17670 18240 18848 19344 19760 19840 22971 23560 23712 24180 24573 24960 25792 28272 29640 29760 30628 31616 32240 32764 35340 36480 37696 38285 38688 39520 40955 45942 47120 47424 48360 49146 51584 56544 59280 59520 61256 64480 65528 70680 75392 76570 77376 79040 81910 83641 91884 94240 94848 96720 98292 106483 113088 114855 118560 122512 122865 128960 131056 141360 153140 154752 155629 158080 163820 167282 183768 188480 193440 196584 212966 226176 229710 237120 245024 245730 250923 253921 257920 262112 282720 306280 311258 319449 327640 334564 367536 376960 386880 393168 418205 425932 459420 466887 474240 490048 491460 501846 507842 524224 532415 565440 612560 622516 638898 655280 669128 735072 761763 773760 778145 786336 836410 851864 918840 933774 980096 982920 1003692 1015684 1048448 1064830 1087333 1130880 1225120 1245032 1254615 1269605 1277796 1310560 1338256 1470144 1523526 1556290 1572672 1589179 1597245 1672820 1703728 1837680 1867548 1965840 2007384 2023177 2031368 2129660 2174666 2334435 2450240 2490064 2509230 2539210 2555592 2592871 2621120 2676512 2940288 3047052 3112580 3145344 3178358 3194490 3261999 3300973 3345640 3407456 3675360 3735096 3808815 3931680 4014768 4046354 4062736 4259320 4349332 4668870 4767537 4824499 4900480 4980128 5018460 5078420 5111184 5185742 5242240 5353024 5436665 6069531 6094104 6225160 6356716 6388980 6523998 6601946 6691280 6814912 7350720 7470192 7617630 7778613 7863360 7945895 8029536 8092708 8125472 8518640 8698664 9337740 9535074 9648998 9902919 9960256 10036920 10115885 10156840 10222368 10371484 10706048 10873330 12139062 12188208 12450320 12713432 12777960 12964355 13047996 13203892 13382560 13629824 14473497 14701440 14940384 15235260 15557226 15726720 15891790 16059072 16185416 16250944 16309995 16504865 17037280 17397328 18675480 19070148 19297996 19805838 19920512 20073840 20231770 20313680 20444736 20659327 20742968 21746660 23837685 24122495 24278124 24376416 24900640 25426864 25555920 25928710 26095992 26407784 26765120 28946994 29880768 30347655 30470520 31114452 31783580 32118144 32370832 32501888 32619990 33009730 33707323 34074560 34794656 37350960 38140296 38595992 38893065 39611676 40147680 40463540 40627360 40889472 41318654 41485936 43493320 47675370 48244990 48556248 48752832 49264549 49514595 49801280 50853728 51111840 51857420 52191984 52815568 53530240 57893988 59761536 60695310 60941040 61977981 62228904 62718487 63567160 64741664 65239980 66019460 67414646 68149120 69589312 72367485 74701920 76280592 77191984 77786130 79223352 80295360 80927080 81254720 82637308 82971872 86986640 95350740 96489980 97112496 97505664 98529098 99029190 99602560 101121969 101707456 102223680 103296635 103714840 104383968 105631136 115787976 121390620 121882080 123955962 124457808 125436974 127134320 129483328 130479960 132038920 134829292 139178624 144734970 147793647 149403840 152561184 154383968 155572260 158446704 160590720 161854160 162509440 165274616 165943744 168536615 173973280 188155461 190701480 192979960 194224992 197058196 198058380 202243938 203414912 204447360 206593270 207429680 208767936 211262272 231575952 242781240 243764160 246322745 247911924 248915616 250873948 254268640 258966656 260959920 264077840 269658584 289469940 295587294 298807680 305122368 308767936 309889905 311144520 313592435 316893408 323708320 330549232 331887488 337073230 347946560 376310922 381402960 385959920 388449984 394116392 396116760 404487876 413186540 414859360 417535872 422524544 463151904 485562480 487528320 492645490 495823848 497831232 501747896 505609845 508537280 521919840 528155680 539317168 578939880 591174588 610244736 617535872 619779810 622289040 627184870 633786816 640439137 647416640 661098464 674146460 685103431 695893120 738968235 752621844 762805920 771919840 776899968 788232784 792233520 808975752 826373080 829718720 926303808 940777305 971124960 985290980 991647696 995662464 1003495792 1011219690 1017074560 1043839680 1056311360 1078634336 1157879760 1182349176 1239559620 1244578080 1254369740 1267573632 1280878274 1294833280 1322196928 1348292920 1370206862 1477936470 1505243688 1525611840 1543839680 1576465568 1584467040 1617951504 1652746160 1659437440 1852607616 1881554610 1921317411 1942249920 1970581960 1983295392 2006991584 2022439380 2055310293 2087679360 2112622720 2157268672 2315759520 2364698352 2479119240 2489156160 2508739480 2561756548 2644393856 2696585840 2740413724 2955872940 3010487376 3051223680 3087679360 3152931136 3168934080 3202195685 3235903008 3305492320 3425517155 3763109220 3842634822 3884499840 3941163920 3966590784 4013983168 4044878760 4110620586 4314537344 4631519040 4729396704 4958238480 4978312320 5017478960 5123513096 5393171680 5480827448 5911745880 6020974752 6305862272 6337868160 6404391370 6471806016 6610984640 6851034310 7526218440 7685269644 7882327840 7933181568 8027966336 8089757520 8221241172 8906344603 9263038080 9458793408 9606587055 9916476960 10034957920 10247026192 10276551465 10786343360 10961654896 11823491760 12041949504 12808782740 12943612032 13016965189 13221969280 13702068620 15052436880 15370539288 15764655680 16179515040 16442482344 17812689206 18917586816 19213174110 19832953920 20069915840 20494052384 20553102930 21238206361 21572686720 21923309792 23646983520 24083899008 25617565480 26033930378 26719033809 27404137240 30104873760 30741078576 31529311360 32359030080 32884964688 35625378412 38426348220 39050895567 39665907840 40139831680 40988104768 41106205860 42476412722 43846619584 44531723015 47293967040 51235130960 52067860756 53438067618 54808274480 60209747520 61482157152 63714619083 64718060160 65084825945 65769929376 71250756824 76852696440 78101791134 81976209536 82212411720 84952825444 87693239168 89063446030 94587934080 102470261920 104135721512 106191031805 106876135236 109616548960 120419495040 122964314304 127429238166 130169651890 131539858752 133595169045 142501513648 153705392880 156203582268 164424823440 169220547457 169905650888 178126892060 195254477835 204940523840 208271443024 212382063610 213752270472 219233097920 245928628608 254858476332 260339303780 263079717504 267190338090 276096682693 285003027296 307410785760 312407164536 318573095415 328849646880 338441094914 339811301776 356253784120 390508955670 403525920859 409881047680 416542886048 424764127220 427504540944 438466195840 507661642371 509716952664 520678607560 534380676180 552193365386 570006054592 614821571520 624814329072 637146190830 657699293760 676882189828 679622603552 712507568240 781017911340 807051841718 828290048079 833085772096 846102737285 849528254440 855009081888 1015323284742 1019433905328 1041357215120 1068761352360 1104386730772 1140012109184 1210577762577 1229643143040 1249628658144 1274292381660 1315398587520 1353764379656 1359245207104 1380483413465 1425015136480 1562035822680 1614103683436 1656580096158 1666171544192 1692205474570 1699056508880 1710018163776 2017629604295 2030646569484 2038867810656 2082714430240 2137522704720 2208773461544 2421155525154 2499257316288 2538308211855 2548584763320 2707528759312 2718490414208 2760966826930 2850030272960 3124071645360 3228207366872 3313160192316 3384410949140 3398113017760 3420036327552 4035259208590 4061293138968 4077735621312 4141450240395 4165428860480 4275045409440 4417546923088 4842311050308 4998514632576 5076616423710 5097169526640 5245836971167 5415057518624 5521933653860 5700060545920 6052888812885 6248143290720 6456414733744 6626320384632 6768821898280 6796226035520 8070518417180 8122586277936 8155471242624 8282900480790 8330857720960 8550090818880 8835093846176 9684622100616 10153232847420 10194339053280 10491673942334 10830115037248 11043867307720 12105777625770 12496286581440 12912829467488 13252640769264 13537643796560 13592452071040 15737510913501 16141036834360 16245172555872 16565800961580 17100181637760 17670187692352 19369244201232 20306465694840 20388678106560 20983347884668 21660230074496 22087734615440 24211555251540 24992573162880 25825658934976 26229184855835 26505281538528 27075287593120 31475021827002 32282073668720 32490345111744 33131601923160 35340375384704 38738488402464 40612931389680 40777356213120 41966695769336 44175469230880 48423110503080 51651317869952 52458369711670 53010563077056 54150575186240 62950043654004 64564147337440 64980690223488 66263203846320 77476976804928 78687554567505 81225862779360 83933391538672 88350938461760 96846221006160 104916739423340 106021126154112 108301150372480 125900087308008 129128294674880 132526407692640 154953953609856 157375109135010 162451725558720 167866783077344 176701876923520 193692442012320 209833478846680 251800174616016 258256589349760 265052815385280 314750218270020 324903451117440 335733566154688 387384884024640 419666957693360 503600349232032 530105630770560 629500436540040 671467132309376 774769768049280 839333915386720 1007200698464064 1259000873080080 1678667830773440 2014401396928128 2518001746160160 3357335661546880 5036003492320320 10072006984640640
- Sum of all divisors σ(n): 37572819340492800
- Sum of proper divisors (its aliquot sum) s(n): 27500812355852160
- 10072006984640640 is an abundant number, because the sum of its proper divisors (27500812355852160) is greater than itself. Its abundance is 17428805371211520
Bases of 10072006984640640
- Binary: 1000111100100001101111110111100111111010101000100000002
- Hexadecimal: 0x23C86FDE7EA880
- Base-36: 2R6884R52TC
Squares and roots of 10072006984640640
- 10072006984640640 squared (100720069846406402) is 101445324698649837364869939609600
- 10072006984640640 cubed (100720069846406403) is 1021758018923938790124377219808979711557894144000
-
The
square root of 10072006984640640 is 100359389.1205035185 -
The
cube root of 10072006984640640 is 215959.3472350277
Scales and comparisons
How big is 10072006984640640?- 10,072,006,984,640,640 seconds is equal to 320,258,667 years, 18 weeks, 19 hours, 44 minutes.
-
To count from 1 to 10,072,006,984,640,640 would take you about nine hundred sixty million, seven hundred seventy-six thousand and two 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 10072006984640640 cubic inches would be around 17996.6 feet tall.
Recreational maths with 10072006984640640
- 10072006984640640 backwards is 04604648960027001
- 10072006984640640 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10072006984640640's digits is 57
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 10072006984640640 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 10072006984640640 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/10072006984640640/
Chicago style:
Numbermatics. 2024. "Number 10072006984640640 - Facts about the integer". https://numbermatics.com/n/10072006984640640/
The information we have on file for 10072006984640640 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 10072006984640640, math, Factors of 10072006984640640, curriculum, school, college, exams, university, Prime factorization of 10072006984640640, STEM, science, technology, engineering, physics, economics, calculator, ten quadrillion, seventy-two trillion, six billion, nine hundred eighty-four million, six hundred forty thousand, six hundred forty.