12138479641732320
12,138,479,641,732,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12138479641732320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
12138479641732320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 12138479641732320:
25 × 36 × 5 × 31 × 113 × 127 × 233923
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 113 × 127 × 233923)See below for interesting mathematical facts about the number 12138479641732320 from the Numbermatics database.
Names of 12138479641732320
- Cardinal: 12138479641732320 can be written as Twelve quadrillion, one hundred thirty-eight trillion, four hundred seventy-nine billion, six hundred forty-one million, seven hundred thirty-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.213847964173232 × 1016
Factors of 12138479641732320
Divisors of 12138479641732320
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 72 80 81 90 93 96 108 113 120 124 127 135 144 155 160 162 180 186 216 226 240 243 248 254 270 279 288 310 324 339 360 372 381 405 432 452 465 480 486 496 508 540 558 565 620 635 648 678 720 729 744 762 810 837 864 904 930 972 992 1016 1017 1080 1116 1130 1143 1215 1240 1270 1296 1356 1395 1440 1458 1488 1524 1620 1674 1695 1808 1860 1905 1944 2032 2034 2160 2232 2260 2286 2430 2480 2511 2540 2592 2712 2790 2916 2976 3048 3051 3240 3348 3390 3429 3503 3616 3645 3720 3810 3888 3937 4064 4068 4185 4320 4464 4520 4572 4860 4960 5022 5080 5085 5424 5580 5715 5832 6096 6102 6480 6696 6780 6858 7006 7290 7440 7533 7620 7776 7874 8136 8370 8928 9040 9144 9153 9720 10044 10160 10170 10287 10509 10848 11160 11430 11664 11811 12192 12204 12555 12960 13392 13560 13716 14012 14351 14580 14880 15066 15240 15255 15748 16272 16740 17145 17515 18080 18288 18306 19440 19685 20088 20320 20340 20574 21018 22320 22599 22860 23328 23622 24408 25110 26784 27120 27432 27459 28024 28702 29160 30132 30480 30510 30861 31496 31527 32544 33480 34290 35030 35433 36576 36612 37665 38880 39370 40176 40680 41148 42036 43053 44640 45198 45720 45765 47244 48816 50220 51435 52545 54240 54864 54918 56048 57404 58320 59055 60264 60960 61020 61722 62992 63054 66960 68580 70060 70866 71755 73224 75330 78740 80352 81360 82296 82377 84072 86106 90396 91440 91530 92583 94488 94581 97632 100440 102870 105090 106299 109728 109836 112096 112995 114808 116640 118110 120528 122040 123444 125984 126108 129159 133920 137160 137295 140120 141732 143510 146448 150660 154305 157480 157635 162720 164592 164754 168144 172212 177165 180792 182880 183060 185166 188976 189162 200880 205740 210180 212598 215265 219672 225990 229616 233923 236220 241056 244080 246888 252216 258318 274320 274590 280240 283464 283743 287020 292896 301320 308610 314960 315270 318897 329184 329508 336288 344424 354330 361584 366120 370332 377952 378324 387477 401760 411480 411885 420360 425196 430530 439344 444881 451980 459232 462915 467846 472440 472905 488160 493776 504432 516636 531495 548640 549180 560480 566928 567486 574040 602640 617220 629920 630540 637794 645795 659016 688848 701769 708660 723168 732240 740664 756648 774954 822960 823770 840720 850392 851229 861060 878688 889762 903960 925830 935692 944880 945810 956691 987552 1008864 1033272 1062990 1098360 1133856 1134972 1148080 1162431 1169615 1205280 1234440 1261080 1275588 1291590 1318032 1334643 1377696 1403538 1417320 1418715 1464480 1481328 1513296 1549908 1594485 1645920 1647540 1681440 1700784 1702458 1722120 1779524 1807920 1851660 1871384 1889760 1891620 1913382 1937385 2066544 2105307 2125980 2196720 2224405 2269944 2296160 2324862 2339230 2468880 2522160 2551176 2553687 2583180 2636064 2669286 2807076 2834640 2837430 2870073 2962656 3026592 3099816 3188970 3295080 3401568 3404916 3444240 3487293 3508845 3559048 3615840 3703320 3742768 3783240 3826764 3874770 4003929 4133088 4210614 4251960 4256145 4393440 4448810 4539888 4649724 4678460 4783455 4937760 5044320 5102352 5107374 5166360 5338572 5614152 5669280 5674860 5740146 5812155 6199632 6315921 6377940 6590160 6673215 6809832 6888480 6974586 7017690 7118096 7251613 7406640 7485536 7566480 7653528 7749540 8007858 8421228 8503920 8512290 8897620 9079776 9299448 9356920 9566910 10204704 10214748 10332720 10461879 10526535 10677144 11228304 11349720 11480292 11624310 12011787 12399264 12631842 12755880 12768435 13180320 13346430 13619664 13949172 14035380 14236192 14350365 14503226 14813280 15132960 15307056 15499080 16015716 16842456 17007840 17024580 17436465 17795240 18598896 18713840 18947763 19133820 20019645 20429496 20665440 20923758 21053070 21354288 21754839 22456608 22699440 22960584 23248620 24023574 25263684 25511760 25536870 26433299 26692860 27239328 27898344 28070760 28700730 29006452 29708221 30614112 30998160 31579605 32031432 33684912 34049160 34872930 35590480 36035361 36258065 37197792 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4078790202195 4162715926520 4350709549008 4475840575860 4683055417335 4778928992808 4834121721120 4894548242634 4995259111824 5309921103120 5371008691032 5438386936260 5619666500802 5967787434480 5973661241010 6244073889780 6371905323744 6526064323512 6713760863790 7161344921376 7251182581680 7492888667736 7964881654680 8157580404390 8325431853040 8429499751203 8701419098016 8951681151720 9366110834670 9557857985616 9789096485268 9990518223648 10619842206240 10742017382064 10876773872520 11239333001604 11935574868960 11947322482020 12236370606585 12488147779560 13052128647024 13427521727580 14049166252005 14502365163360 14985777335472 15929763309360 16315160808780 16650863706080 16858999502406 17903362303440 18732221669340 19115715971232 19578192970536 21484034764128 21753547745040 22478666003208 23894644964040 24472741213170 24976295559120 25288499253609 26104257294048 26855043455160 28098332504010 29971554670944 31859526618720 32630321617560 33717999004812 35806724606880 37464443338680 39156385941072 42147498756015 43507095490080 44957332006416 47789289928080 48945482426340 49952591118240 50576998507218 53710086910320 56196665008020 65260643235120 67435998009624 74928886677360 75865497760827 78312771882144 84294997512030 89914664012832 95578579856160 97890964852680 101153997014436 107420173820640 112393330016040 126442496268045 130521286470240 134871996019248 149857773354720 151730995521654 168589995024060 195781929705360 202307994028872 224786660032080 252884992536090 269743992038496 303461991043308 337179990048120 379327488804135 391563859410720 404615988057744 449573320064160 505769985072180 606923982086616 674359980096240 758654977608270 809231976115488 1011539970144360 1213847964173232 1348719960192480 1517309955216540 2023079940288720 2427695928346464 3034619910433080 4046159880577440 6069239820866160 12138479641732320
- Sum of all divisors σ(n): 45128566938599424
- Sum of proper divisors (its aliquot sum) s(n): 32990087296867104
- 12138479641732320 is an abundant number, because the sum of its proper divisors (32990087296867104) is greater than itself. Its abundance is 20851607655134784
Bases of 12138479641732320
- Binary: 1010110001111111100010000001110010100010100100111000002
- Hexadecimal: 0x2B1FE20728A4E0
- Base-36: 3BIQCKCFI00
Squares and roots of 12138479641732320
- 12138479641732320 squared (121384796417323202) is 147342688012749991702930532582400
- 12138479641732320 cubed (121384796417323203) is 1788516218800882519994438263712639642539143168000
-
The
square root of 12138479641732320 is 110174768.6257262807 -
The
cube root of 12138479641732320 is 229820.1469946351
Scales and comparisons
How big is 12138479641732320?- 12,138,479,641,732,320 seconds is equal to 385,966,105 years, 42 weeks, 6 days, 1 hour, 12 minutes.
-
To count from 1 to 12,138,479,641,732,320 would take you about one billion, one hundred fifty-seven million, eight hundred ninety-eight thousand, three hundred seventeen 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 12138479641732320 cubic inches would be around 19151.7 feet tall.
Recreational maths with 12138479641732320
- 12138479641732320 backwards is 02323714697483121
- The number of decimal digits it has is: 17
- The sum of 12138479641732320's digits is 63
- More coming soon!
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"Number 12138479641732320 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 12138479641732320 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/12138479641732320/
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Numbermatics. 2024. "Number 12138479641732320 - Facts about the integer". https://numbermatics.com/n/12138479641732320/
The information we have on file for 12138479641732320 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 12138479641732320, math, Factors of 12138479641732320, curriculum, school, college, exams, university, Prime factorization of 12138479641732320, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, one hundred thirty-eight trillion, four hundred seventy-nine billion, six hundred forty-one million, seven hundred thirty-two thousand, three hundred twenty.