148046628856320
148,046,628,856,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 148046628856320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
148046628856320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 148046628856320:
29 × 35 × 5 × 37 × 67 × 96001
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 37 × 67 × 96001)See below for interesting mathematical facts about the number 148046628856320 from the Numbermatics database.
Names of 148046628856320
- Cardinal: 148046628856320 can be written as One hundred forty-eight trillion, forty-six billion, six hundred twenty-eight million, eight hundred fifty-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.4804662885632 × 1014
Factors of 148046628856320
Divisors of 148046628856320
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 37 40 45 48 54 60 64 67 72 74 80 81 90 96 108 111 120 128 134 135 144 148 160 162 180 185 192 201 216 222 240 243 256 268 270 288 296 320 324 333 335 360 370 384 402 405 432 444 480 486 512 536 540 555 576 592 603 640 648 666 670 720 740 768 804 810 864 888 960 972 999 1005 1072 1080 1110 1152 1184 1206 1215 1280 1296 1332 1340 1440 1480 1536 1608 1620 1665 1728 1776 1809 1920 1944 1998 2010 2144 2160 2220 2304 2368 2412 2430 2479 2560 2592 2664 2680 2880 2960 2997 3015 3216 3240 3330 3456 3552 3618 3840 3888 3996 4020 4288 4320 4440 4608 4736 4824 4860 4958 4995 5184 5328 5360 5427 5760 5920 5994 6030 6432 6480 6660 6912 7104 7236 7437 7680 7776 7992 8040 8576 8640 8880 8991 9045 9472 9648 9720 9916 9990 10368 10656 10720 10854 11520 11840 11988 12060 12395 12864 12960 13320 13824 14208 14472 14874 14985 15552 15984 16080 16281 17152 17280 17760 17982 18090 18944 19296 19440 19832 19980 20736 21312 21440 21708 22311 23040 23680 23976 24120 24790 25728 25920 26640 27135 28416 28944 29748 29970 31104 31968 32160 32562 34304 34560 35520 35964 36180 37185 38592 38880 39664 39960 41472 42624 42880 43416 44622 44955 47360 47952 48240 49580 51456 51840 53280 54270 56832 57888 59496 59940 62208 63936 64320 65124 66933 69120 71040 71928 72360 74370 77184 77760 79328 79920 81405 85248 85760 86832 89244 89910 94720 95904 96001 96480 99160 102912 103680 106560 108540 111555 115776 118992 119880 124416 127872 128640 130248 133866 142080 143856 144720 148740 154368 155520 158656 159840 162810 170496 171520 173664 178488 179820 191808 192002 192960 198320 200799 207360 213120 217080 223110 231552 237984 239760 255744 257280 260496 267732 284160 287712 288003 289440 297480 308736 311040 317312 319680 325620 334665 347328 356976 359640 383616 384004 385920 396640 401598 426240 434160 446220 463104 475968 479520 480005 511488 514560 520992 535464 575424 576006 578880 594960 602397 622080 634624 639360 651240 669330 694656 713952 719280 767232 768008 771840 793280 803196 852480 864009 868320 892440 926208 951936 959040 960010 1003995 1041984 1070928 1150848 1152012 1157760 1189920 1204794 1269248 1278720 1302480 1338660 1389312 1427904 1438560 1440015 1534464 1536016 1543680 1586560 1606392 1728018 1736640 1784880 1903872 1918080 1920020 2007990 2083968 2141856 2301696 2304024 2315520 2379840 2409588 2557440 2592027 2604960 2677320 2778624 2855808 2877120 2880030 3011985 3072032 3173120 3212784 3456036 3473280 3552037 3569760 3807744 3836160 3840040 4015980 4167936 4283712 4320045 4603392 4608048 4631040 4759680 4819176 5184054 5209920 5354640 5711616 5754240 5760060 6023970 6144064 6346240 6425568 6432067 6912072 6946560 7104074 7139520 7672320 7680080 7776081 8031960 8335872 8567424 8640090 9216096 9519360 9638352 10368108 10419840 10656111 10709280 11423232 11508480 11520120 12047940 12288128 12851136 12864134 12960135 13824144 13893120 14208148 14279040 15360160 15552162 16063920 17134848 17280180 17760185 18432192 19038720 19276704 19296201 20736216 20839680 21312222 21418560 23016960 23040240 23328243 24095880 24576256 25702272 25728268 25920270 27648288 28416296 28558080 30720320 31104324 31968333 32127840 32160335 34269696 34560360 35520370 36864384 38553408 38592402 38880405 41472432 41679360 42624444 42837120 46080480 46656486 48191760 49152512 51404544 51456536 51840540 53280555 55296576 56832592 57116160 57888603 61440640 62208648 63936666 64255680 64320670 69120720 71040740 73728768 77106816 77184804 77760810 82944864 85248888 85674240 92160960 93312972 95904999 96383520 96481005 102809088 102913072 103681080 106561110 110593152 113665184 115777206 116641215 122881280 124417296 127873332 128511360 128641340 138241440 142081480 147457536 154213632 154369608 155521620 159841665 165889728 170497776 171348480 173665809 184321920 186625944 191809998 192767040 192962010 205826144 207362160 213122220 221186304 227330368 231554412 233282430 237986479 245762560 248834592 255746664 257022720 257282680 276482880 284162960 287714997 289443015 308427264 308739216 311043240 319683330 331779456 340995552 347331618 368643840 373251888 383619996 385534080 385924020 411652288 414724320 426244440 442372608 454660736 463108824 466564860 475972958 479524995 497669184 511493328 514045440 514565360 520997427 552965760 568325920 575429994 578886030 617478432 622086480 639366660 663558912 681991104 694663236 713959437 737287680 746503776 767239992 771068160 771848040 823304576 829448640 852488880 863144991 868329045 909321472 926217648 933129720 951945916 959049990 995338368 1022986656 1029130720 1041994854 1105931520 1136651840 1150859988 1157772060 1189932395 1234956864 1244172960 1278733320 1327117824 1363982208 1389326472 1427918874 1438574985 1493007552 1534479984 1542136320 1543696080 1562992281 1646609152 1658897280 1704977760 1726289982 1736658090 1818642944 1852435296 1866259440 1903891832 1918099980 1990676736 2045973312 2058261440 2083989708 2141878311 2211863040 2273303680 2301719976 2315544120 2379864790 2469913728 2488345920 2557466640 2604987135 2727964416 2778652944 2855837748 2877149970 2986015104 3068959968 3087392160 3125984562 3293218304 3317794560 3409955520 3452579964 3473316180 3569797185 3704870592 3732518880 3807783664 3836199960 3981353472 4091946624 4116522880 4167979416 4283756622 4315724955 4546607360 4603439952 4631088240 4759729580 4939827456 4976691840 5114933280 5209974270 5455928832 5557305888 5711675496 5754299940 5972030208 6137919936 6174784320 6251969124 6425634933 6635589120 6819911040 6905159928 6946632360 7139594370 7409741184 7465037760 7615567328 7672399920 7814961405 8183893248 8233045760 8335958832 8567513244 8631449910 9093214720 9206879904 9262176480 9519459160 9879654912 9953383680 10229866560 10419948540 10709391555 11114611776 11423350992 11508599880 11944060416 12275839872 12349568640 12503938248 12851269866 13639822080 13810319856 13893264720 14279188740 14819482368 14930075520 15231134656 15344799840 15629922810 16367786496 16466091520 16671917664 17135026488 17262899820 18413759808 18524352960 19038918320 19276904799 19906767360 20459733120 20839897080 21418783110 22229223552 22846701984 23017199760 24551679744 24699137280 25007876496 25702539732 27279644160 27620639712 27786529440 28558377480 29638964736 29860151040 30462269312 30689599680 31259845620 32128174665 33343835328 34270052976 34525799640 36827519616 37048705920 38077836640 38553809598 40919466240 41679794160 42837566220 44458447104 45693403968 46034399520 49103359488 49398274560 50015752992 51405079464 55241279424 55573058880 57116754960 57830714397 59720302080 60924538624 61379199360 62519691240 64256349330 66687670656 68540105952 69051599280 73655039232 74097411840 76155673280 77107619196 81838932480 83359588320 85675132440 88916894208 91386807936 92068799040 96384523995 100031505984 102810158928 110482558848 111146117760 114233509920 115661428794 121849077248 122758398720 125039382480 128512698660 133375341312 137080211904 138103198560 147310078464 148194823680 152311346560 154215238392 166719176640 171350264880 182773615872 184137598080 192769047990 200063011968 205620317856 220965117696 222292235520 228467019840 231322857588 245516797440 250078764960 257025397320 266750682624 274160423808 276206397120 289153571985 304622693120 308430476784 333438353280 342700529760 365547231744 368275196160 385538095980 400126023936 411240635712 441930235392 444584471040 456934039680 462645715176 500157529920 514050794640 548320847616 552412794240 578307143970 609245386240 616860953568 666876706560 685401059520 736550392320 771076191960 800252047872 822481271424 913868079360 925291430352 1000315059840 1028101589280 1096641695232 1104825588480 1156614287940 1233721907136 1333753413120 1370802119040 1542152383920 1644962542848 1827736158720 1850582860704 2000630119680 2056203178560 2209651176960 2313228575880 2467443814272 2741604238080 3084304767840 3289925085696 3701165721408 4001260239360 4112406357120 4626457151760 4934887628544 5483208476160 6168609535680 7402331442816 8224812714240 9252914303520 9869775257088 12337219071360 14804662885632 16449625428480 18505828607040 24674438142720 29609325771264 37011657214080 49348876285440 74023314428160 148046628856320
- Sum of all divisors σ(n): 554244073358976
- Sum of proper divisors (its aliquot sum) s(n): 406197444502656
- 148046628856320 is an abundant number, because the sum of its proper divisors (406197444502656) is greater than itself. Its abundance is 258150815646336
Bases of 148046628856320
- Binary: 1000011010100101110010101011100100100010000000002
- Hexadecimal: 0x86A5CAB92200
- Base-36: 1GH7OKDC00
Squares and roots of 148046628856320
- 148046628856320 squared (1480466288563202) is 21917804315720961711203942400
- 148046628856320 cubed (1480466288563203) is 3244857040874989961899027425164387155968000
-
The
square root of 148046628856320 is 12167441.3438619049 -
The
cube root of 148046628856320 is 52901.2792498369
Scales and comparisons
How big is 148046628856320?- 148,046,628,856,320 seconds is equal to 4,707,424 years, 44 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 148,046,628,856,320 would take you about eleven million, seven hundred sixty-eight thousand, five hundred sixty-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 148046628856320 cubic inches would be around 4408.4 feet tall.
Recreational maths with 148046628856320
- 148046628856320 backwards is 023658826640841
- The number of decimal digits it has is: 15
- The sum of 148046628856320's digits is 63
- 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 148046628856320 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 148046628856320 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/148046628856320/
Chicago style:
Numbermatics. 2024. "Number 148046628856320 - Facts about the integer". https://numbermatics.com/n/148046628856320/
The information we have on file for 148046628856320 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 148046628856320, math, Factors of 148046628856320, curriculum, school, college, exams, university, Prime factorization of 148046628856320, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight trillion, forty-six billion, six hundred twenty-eight million, eight hundred fifty-six thousand, three hundred twenty.