132238139304960
132,238,139,304,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132238139304960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
132238139304960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 132238139304960:
210 × 32 × 5 × 13 × 211 × 401 × 2609
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 211 × 401 × 2609)See below for interesting mathematical facts about the number 132238139304960 from the Numbermatics database.
Names of 132238139304960
- Cardinal: 132238139304960 can be written as One hundred thirty-two trillion, two hundred thirty-eight billion, one hundred thirty-nine million, three hundred four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3223813930496 × 1014
Factors of 132238139304960
Divisors of 132238139304960
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 211 234 240 256 260 288 312 320 360 384 390 401 416 422 468 480 512 520 576 585 624 633 640 720 768 780 802 832 844 936 960 1024 1040 1055 1152 1170 1203 1248 1266 1280 1440 1536 1560 1604 1664 1688 1872 1899 1920 2005 2080 2110 2304 2340 2406 2496 2532 2560 2609 2743 2880 3072 3120 3165 3208 3328 3376 3609 3744 3798 3840 4010 4160 4220 4608 4680 4812 4992 5064 5120 5213 5218 5486 5760 6015 6240 6330 6416 6656 6752 7218 7488 7596 7680 7827 8020 8229 8320 8440 9216 9360 9495 9624 9984 10128 10426 10436 10972 11520 12030 12480 12660 12832 13045 13312 13504 13715 14436 14976 15192 15360 15639 15654 16040 16458 16640 16880 18045 18720 18990 19248 19968 20256 20852 20872 21944 23040 23481 24060 24687 24960 25320 25664 26065 26090 27008 27430 28872 29952 30384 31278 31308 32080 32916 33280 33760 33917 36090 37440 37980 38496 39135 39936 40512 41145 41704 41744 43888 46080 46917 46962 48120 49374 49920 50640 51328 52130 52180 54016 54860 57744 59904 60768 62556 62616 64160 65832 66560 67520 67834 72180 74880 75960 76992 78195 78270 81024 82290 83408 83488 84611 87776 93834 93924 96240 98748 99840 101280 101751 102656 104260 104360 108032 109720 115488 117405 119808 121536 123435 125112 125232 128320 131664 135040 135668 144360 149760 151920 153984 156390 156540 162048 164580 166816 166976 169222 169585 175552 187668 187848 192480 197496 199680 202560 203502 205312 208520 208720 216064 219440 230976 234585 234810 243072 246870 250224 250464 253833 256640 263328 270080 271336 288720 299520 303840 305253 307968 312780 313080 324096 329160 333632 333952 338444 339170 351104 375336 375696 384960 394992 405120 407004 410624 417040 417440 423055 438880 461952 469170 469620 486144 493740 500448 500928 507666 508755 513280 526656 540160 542672 550499 577440 599040 607680 610506 615936 625560 626160 648192 658320 667264 667904 676888 678340 702208 750672 751392 761499 769920 789984 810240 814008 834080 834880 846110 877760 923904 938340 939240 972288 987480 1000896 1001856 1015332 1017510 1026560 1046209 1053312 1080320 1085344 1099943 1100998 1154880 1215360 1221012 1231872 1251120 1252320 1269165 1316640 1334528 1335808 1353776 1356680 1404416 1501344 1502784 1522998 1526265 1539840 1579968 1620480 1628016 1651497 1668160 1669760 1692220 1755520 1847808 1876680 1878480 1944576 1974960 2001792 2003712 2030664 2035020 2053120 2092418 2106624 2170688 2199886 2201996 2309760 2430720 2442024 2502240 2504640 2538330 2633280 2669056 2671616 2707552 2713360 2752495 2808832 3002688 3005568 3045996 3052530 3079680 3138627 3159936 3240960 3256032 3299829 3302994 3336320 3339520 3384440 3511040 3695616 3753360 3756960 3807495 3949920 4003584 4007424 4061328 4070040 4184836 4213248 4341376 4399772 4403992 4619520 4861440 4884048 4954491 5004480 5009280 5076660 5231045 5266560 5338112 5415104 5426720 5499715 5504990 6005376 6011136 6091992 6105060 6159360 6277254 6319872 6512064 6599658 6605988 6672640 6679040 6768880 7022080 7156487 7506720 7513920 7614990 7899840 8007168 8014848 8122656 8140080 8257485 8369672 8426496 8682752 8799544 8807984 9239040 9415881 9722880 9768096 9899487 9908982 10008960 10018560 10153320 10462090 10533120 10830208 10853440 10999430 11009980 12010752 12022272 12183984 12210120 12554508 12639744 13024128 13199316 13211976 13345280 13358080 13537760 13600717 14044160 14312974 15013440 15027840 15229980 15693135 15799680 16014336 16245312 16280160 16499145 16514970 16739344 17365504 17599088 17615968 18478080 18831762 19536192 19798974 19817964 20017920 20037120 20306640 20924180 21066240 21469461 21660416 21706880 21998860 22019960 24021504 24044544 24367968 24420240 24772455 25109016 25279488 26048256 26398632 26423952 26690560 27075520 27201434 28625948 30026880 30055680 30459960 31386270 31599360 32490624 32560320 32998290 33029940 33478688 34731008 35198176 35231936 35782435 37663524 39072384 39597948 39635928 40035840 40074240 40613280 40802151 41848360 42132480 42938922 43320832 43413760 43997720 44039920 47079405 48043008 48735936 48840480 49497435 49544910 50218032 52096512 52797264 52847904 54151040 54402868 57251896 60053760 60111360 60919920 62772540 63198720 64408383 64981248 65120640 65996580 66059880 66957376 68003585 70396352 70463872 71564870 75327048 78144768 79195896 79271856 80071680 81226560 81604302 83696720 85877844 86641664 86827520 87995440 88079840 94158810 97471872 97680960 98994870 99089820 100436064 104193024 105594528 105695808 107347305 108302080 108805736 114503792 120107520 120222720 121839840 122406453 125545080 126397440 128816766 129962496 130241280 131993160 132119760 133914752 136007170 140792704 140927744 143129740 150654096 156289536 158391792 158543712 162453120 163208604 167393440 171755688 173655040 175990880 176159680 188317620 194943744 195361920 197989740 198179640 200872128 204010755 211189056 211391616 214694610 216604160 217611472 220750099 229007584 240215040 243679680 244812906 251090160 257633532 259924992 260482560 263986320 264239520 267829504 272014340 281585408 281855488 286259480 301308192 312579072 316783584 317087424 322041915 324906240 326417208 334786880 343511376 351981760 352319360 376635240 389887488 390723840 395979480 396359280 401744256 408021510 422378112 422783232 429389220 433208320 435222944 441500198 458015168 487359360 489625812 502180320 515267064 520965120 527972640 528479040 535659008 544028680 563170816 563710976 572518960 602616384 612032265 633567168 634174848 644083830 649812480 652834416 662250297 669573760 687022752 703963520 704638720 753270480 779774976 781447680 791958960 792718560 803488512 816043020 844756224 845566464 858778440 870445888 883000396 916030336 974718720 979251624 1004360640 1030534128 1055945280 1056958080 1071318016 1088057360 1103750495 1126341632 1145037920 1205232768 1224064530 1267134336 1268349696 1288167660 1299624960 1305668832 1324500594 1339147520 1374045504 1407927040 1409277440 1506540960 1562895360 1583917920 1585437120 1606977024 1632086040 1689512448 1691132928 1717556880 1740891776 1766000792 1832060672 1949437440 1958503248 1986750891 2008721280 2061068256 2111890560 2113916160 2176114720 2207500990 2290075840 2410465536 2448129060 2534268672 2536699392 2576335320 2611337664 2649001188 2678295040 2748091008 2815854080 2818554880 2869751287 3013081920 3167835840 3170874240 3213954048 3264172080 3311251485 3379024896 3435113760 3481783552 3532001584 3664121344 3898874880 3917006496 3973501782 4017442560 4122136512 4223781120 4227832320 4352229440 4415001980 4580151680 4820931072 4896258120 5068537344 5073398784 5152670640 5222675328 5298002376 5356590080 5496182016 5631708160 5739502574 6026163840 6335671680 6341748480 6528344160 6622502970 6870227520 6963567104 7064003168 7328242688 7834012992 7947003564 8034885120 8244273024 8447562240 8455664640 8609253861 8704458880 8830003960 9160303360 9641862144 9792516240 9933754455 10137074688 10305341280 10445350656 10596004752 10992364032 11479005148 12052327680 12671343360 12683496960 13056688320 13245005940 13740455040 13927134208 14128006336 14348756435 15668025984 15894007128 16069770240 16488546048 16895124480 17218507722 17408917760 17660007920 18320606720 19585032480 19867508910 20610682560 20890701312 21192009504 21984728064 22958010296 24104655360 25342686720 25366993920 25827761583 26113376640 26490011880 27480910080 28256012672 28697512870 31336051968 31788014256 32977092096 34437015444 34817835520 35320015840 36641213440 39170064960 39735017820 41221365120 41781402624 42384019008 43046269305 45916020592 48209310720 50685373440 51655523166 52226753280 52980023760 54961820160 56512025344 57395025740 62672103936 63576028512 65954184192 68874030888 69635671040 70640031680 78340129920 79470035640 82442730240 84768038016 86092538610 91832041184 103311046332 104453506560 105960047520 109923640320 113024050688 114790051480 125344207872 127152057024 129138807915 137748061776 141280063360 156680259840 158940071280 164885460480 169536076032 172185077220 183664082368 206622092664 208907013120 211920095040 226048101376 229580102960 254304114048 258277615830 275496123552 282560126720 313360519680 317880142560 329770920960 339072152064 344370154440 367328164736 413244185328 423840190080 459160205920 508608228096 516555231660 550992247104 565120253440 626721039360 635760285120 678144304128 688740308880 734656329472 826488370656 847680380160 918320411840 1017216456192 1033110463320 1101984494208 1130240506880 1271520570240 1377480617760 1469312658944 1652976741312 1695360760320 1836640823680 2034432912384 2066220926640 2203968988416 2543041140480 2754961235520 2938625317888 3305953482624 3390721520640 3673281647360 4132441853280 4407937976832 5086082280960 5509922471040 6611906965248 7346563294720 8264883706560 8815875953664 10172164561920 11019844942080 13223813930496 14693126589440 16529767413120 22039689884160 26447627860992 33059534826240 44079379768320 66119069652480 132238139304960
- Sum of all divisors σ(n): 497213489223360
- Sum of proper divisors (its aliquot sum) s(n): 364975349918400
- 132238139304960 is an abundant number, because the sum of its proper divisors (364975349918400) is greater than itself. Its abundance is 232737210613440
Bases of 132238139304960
- Binary: 111100001000101000101110101000110101100000000002
- Hexadecimal: 0x78451751AC00
- Base-36: 1AVHD1URK0
Squares and roots of 132238139304960
- 132238139304960 squared (1322381393049602) is 17486925486838006831880601600
- 132238139304960 cubed (1322381393049603) is 2312438488543939814383295189234730663936000
-
The
square root of 132238139304960 is 11499484.3060443367 -
The
cube root of 132238139304960 is 50947.0345041591
Scales and comparisons
How big is 132238139304960?- 132,238,139,304,960 seconds is equal to 4,204,763 years, 41 weeks, 17 hours, 36 minutes.
-
To count from 1 to 132,238,139,304,960 would take you about ten million, five hundred eleven thousand, nine hundred 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 132238139304960 cubic inches would be around 4245.6 feet tall.
Recreational maths with 132238139304960
- 132238139304960 backwards is 069403931832231
- The number of decimal digits it has is: 15
- The sum of 132238139304960's digits is 54
- 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 132238139304960 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 132238139304960 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/132238139304960/
Chicago style:
Numbermatics. 2024. "Number 132238139304960 - Facts about the integer". https://numbermatics.com/n/132238139304960/
The information we have on file for 132238139304960 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 132238139304960, math, Factors of 132238139304960, curriculum, school, college, exams, university, Prime factorization of 132238139304960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two trillion, two hundred thirty-eight billion, one hundred thirty-nine million, three hundred four thousand, nine hundred sixty.