48142726783824944640
48,142,726,783,824,944,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48142726783824944640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
48142726783824944640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 48142726783824944640:
29 × 3 × 5 × 372 × 532 × 6012 × 4513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 37 × 37 × 53 × 53 × 601 × 601 × 4513)See below for interesting mathematical facts about the number 48142726783824944640 from the Numbermatics database.
Names of 48142726783824944640
- Cardinal: 48142726783824944640 can be written as Forty-eight quintillion, one hundred forty-two quadrillion, seven hundred twenty-six trillion, seven hundred eighty-three billion, eight hundred twenty-four million, nine hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.814272678382494464 × 1019
Factors of 48142726783824944640
Divisors of 48142726783824944640
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 53 60 64 74 80 96 106 111 120 128 148 159 160 185 192 212 222 240 256 265 296 318 320 370 384 424 444 480 512 530 555 592 601 636 640 740 768 795 848 888 960 1060 1110 1184 1202 1272 1280 1369 1480 1536 1590 1696 1776 1803 1920 1961 2120 2220 2368 2404 2544 2560 2738 2809 2960 3005 3180 3392 3552 3606 3840 3922 4107 4240 4440 4513 4736 4808 5088 5476 5618 5883 5920 6010 6360 6784 6845 7104 7212 7680 7844 8214 8427 8480 8880 9015 9026 9472 9616 9805 10176 10952 11236 11766 11840 12020 12720 13539 13568 13690 14045 14208 14424 15688 16428 16854 16960 17760 18030 18052 18944 19232 19610 20352 20535 21904 22237 22472 22565 23532 23680 24040 25440 27078 27136 27380 28090 28416 28848 29415 31376 31853 32856 33708 33920 35520 36060 36104 38464 39220 40704 41070 42135 43808 44474 44944 45130 47064 47360 48080 50880 54156 54760 56180 56832 57696 58830 62752 63706 65712 66711 67416 67695 67840 71040 72120 72208 72557 76928 78440 81408 82140 84270 87616 88948 89888 90260 94128 94720 95559 96160 101760 103933 108312 109520 111185 112360 115392 117660 125504 127412 131424 133422 134832 135390 135680 142080 144240 144416 145114 153856 156880 159265 164280 166981 168540 175232 177896 179776 180520 188256 191118 192320 203520 207866 216624 217671 219040 222370 224720 230784 235320 239189 251008 254824 262848 266844 269664 270780 284160 288480 288832 290228 307712 311799 313760 318530 328560 333555 333962 337080 350464 355792 359552 361040 361201 362785 376512 382236 384640 407040 415732 433248 435342 438080 444740 449440 461568 470640 477795 478378 500943 502016 509648 519665 525696 533688 539328 541560 576960 577664 580456 623598 627520 637060 657120 667110 667924 674160 700928 711584 717567 719104 722080 722402 725570 753024 764472 769280 822769 831464 834905 866496 870684 876160 889480 898880 923136 941280 955590 956756 1001886 1004032 1019296 1039330 1051392 1067376 1078656 1083120 1083603 1088355 1153920 1155328 1160912 1178561 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549474146090040 571291406002432 586105755829376 591375869494705 613752253745856 625815396004380 663515949995520 666722894746080 667536422404672 677684780177716 709651043393646 711171087729152 714114257503040 721660997194240 732632194786720 755701610269440 767190317182320 818336338327808 834420528005840 847105975222145 856937109003648 879158633744064 888963859661440 946201391191528 1001304633607008 1016527170266574 1022920422909760 1066756631593728 1071171386254560 1082491495791360 1098948292180080 1142582812004864 1172211511658752 1182751738989410 1227504507491712 1251630792008760 1333445789492160 1335072844809344 1355369560355432 1419302086787292 1428228515006080 1465264389573440 1511403220538880 1534380634364640 1636672676655616 1668841056011680 1694211950444290 1713874218007296 1758317267488128 1774127608484115 1777927719322880 1892402782383056 2002609267214016 2033054340533148 2045840845819520 2133513263187456 2142342772509120 2164982991582720 2197896584360160 2344423023317504 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16020874137712128 16264434724265184 17138742180072960 17583172674881280 18805752649931619 18924027823830560 20026092672140160 20330543405331480 21685912965686912 22708833388596672 24550090149834240 25074336866575492 26701456896186880 27107391207108640 28386041735745840 30278444518128896 31342921083219365 32528869448530368 35166345349762560 37611505299863238 37848055647661120 40052185344280320 40661086810662960 43371825931373824 45417666777193344 50148673733150984 54214782414217280 56772083471491680 60556889036257792 62685842166438730 65057738897060736 75223010599726476 75696111295322240 80104370688560640 81322173621325920 86743651862747648 90835333554386688 94028763249658095 100297347466301968 108429564828434560 113544166942983360 125371684332877460 130115477794121472 150446021199452952 151392222590644480 162644347242651840 181670667108773376 188057526499316190 200594694932603936 216859129656869120 227088333885966720 250743368665754920 260230955588242944 300892042398905904 302784445181288960 325288694485303680 376115052998632380 401189389865207872 433718259313738240 454176667771933440 501486737331509840 601784084797811808 650577388970607360 752230105997264760 802378779730415744 908353335543866880 1002973474663019680 1203568169595623616 1301154777941214720 1504460211994529520 1604757559460831488 2005946949326039360 2407136339191247232 3008920423989059040 3209515118921662976 4011893898652078720 4814272678382494464 6017840847978118080 8023787797304157440 9628545356764988928 12035681695956236160 16047575594608314880 24071363391912472320 48142726783824944640
- Sum of all divisors σ(n): 161523619990474485744
- Sum of proper divisors (its aliquot sum) s(n): 113380893206649541104
- 48142726783824944640 is an abundant number, because the sum of its proper divisors (113380893206649541104) is greater than itself. Its abundance is 65238166422824596464
Bases of 48142726783824944640
- Binary: 1010011100000111010101001011110000010101001001000111011110000000002
- Hexadecimal: 0x29C1D52F05491DE00
- Base-36: A5RKKCJ7J4K5C
Squares and roots of 48142726783824944640
- 48142726783824944640 squared (481427267838249446402) is 2317722142182015697918921119899064729600
- 48142726783824944640 cubed (481427267838249446403) is 111581463851890253659330052915823130946808103666496569344000
-
The
square root of 48142726783824944640 is 6938496003.0128247267 -
The
cube root of 48142726783824944640 is 3637839.7293197393
Scales and comparisons
How big is 48142726783824944640?- 48,142,726,783,824,944,640 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,142,726,783,824,944,640 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 48142726783824944640 cubic inches would be around 303153.3 feet tall.
Recreational maths with 48142726783824944640
- 48142726783824944640 backwards is 04644942838762724184
- The number of decimal digits it has is: 20
- The sum of 48142726783824944640's digits is 93
- More coming soon!
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"Number 48142726783824944640 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 48142726783824944640 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/48142726783824944640/
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Numbermatics. 2024. "Number 48142726783824944640 - Facts about the integer". https://numbermatics.com/n/48142726783824944640/
The information we have on file for 48142726783824944640 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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