120468132148320
120,468,132,148,320 is an even composite number composed of five prime numbers multiplied together.
What does the number 120468132148320 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
120468132148320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 120468132148320:
25 × 36 × 5 × 117 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 53)See below for interesting mathematical facts about the number 120468132148320 from the Numbermatics database.
Names of 120468132148320
- Cardinal: 120468132148320 can be written as One hundred twenty trillion, four hundred sixty-eight billion, one hundred thirty-two million, one hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.2046813214832 × 1014
Factors of 120468132148320
Divisors of 120468132148320
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 53 54 55 60 66 72 80 81 88 90 96 99 106 108 110 120 121 132 135 144 159 160 162 165 176 180 198 212 216 220 240 242 243 264 265 270 288 297 318 324 330 352 360 363 396 405 424 432 440 477 480 484 486 495 528 530 540 583 594 605 636 648 660 720 726 729 792 795 810 848 864 880 891 954 968 972 990 1056 1060 1080 1089 1166 1188 1210 1215 1272 1296 1320 1331 1431 1440 1452 1458 1485 1584 1590 1620 1696 1749 1760 1782 1815 1908 1936 1944 1980 2120 2160 2178 2332 2376 2385 2420 2430 2544 2592 2640 2662 2673 2862 2904 2915 2916 2970 3168 3180 3240 3267 3498 3564 3630 3645 3816 3872 3888 3960 3993 4240 4293 4320 4356 4455 4664 4752 4770 4840 4860 5088 5247 5280 5324 5346 5445 5724 5808 5830 5832 5940 6360 6413 6480 6534 6655 6996 7128 7155 7260 7290 7632 7776 7920 7986 8019 8480 8586 8712 8745 8910 9328 9504 9540 9680 9720 9801 10494 10648 10692 10890 11448 11616 11660 11664 11880 11979 12720 12826 12879 12960 13068 13310 13365 13992 14256 14310 14520 14580 14641 15264 15741 15840 15972 16038 16335 17172 17424 17490 17820 18656 19080 19239 19360 19440 19602 19965 20988 21296 21384 21465 21780 22896 23320 23328 23760 23958 25440 25652 25758 26136 26235 26620 26730 27984 28512 28620 29040 29160 29282 29403 31482 31944 32065 32076 32670 34344 34848 34980 35640 35937 38160 38478 38637 38880 39204 39930 40095 41976 42592 42768 42930 43560 43923 45792 46640 47223 47520 47916 49005 51304 51516 52272 52470 53240 53460 55968 57240 57717 58080 58320 58564 58806 59895 62964 63888 64130 64152 64395 65340 68688 69960 70543 71280 71874 73205 76320 76956 77274 78408 78705 79860 80190 83952 85536 85860 87120 87846 88209 93280 94446 95832 96195 98010 102608 103032 104544 104940 106480 106920 107811 114480 115434 116640 117128 117612 119790 125928 127776 128260 128304 128790 130680 131769 137376 139920 141086 141669 142560 143748 146410 147015 153912 154548 156816 157410 159720 160380 161051 167904 171720 173151 174240 175692 176418 179685 188892 191664 192390 193185 196020 205216 206064 209880 211629 212960 213840 215622 219615 228960 230868 234256 235224 236115 239580 251856 256520 256608 257580 261360 263538 279840 282172 283338 287496 288585 292820 294030 307824 309096 313632 314820 319440 320760 322102 323433 343440 346302 351384 352715 352836 359370 377784 383328 384780 386370 392040 395307 412128 419760 423258 425007 427680 431244 439230 441045 461736 468512 470448 472230 479160 483153 503712 513040 515160 519453 522720 527076 539055 564344 566676 574992 577170 585640 588060 615648 618192 629640 634887 638880 641520 644204 646866 658845 686880 692604 702768 705430 705672 708345 718740 755568 769560 772740 775973 784080 790614 805255 839520 846516 850014 862488 865755 878460 882090 923472 940896 944460 958320 966306 970299 1026080 1030320 1038906 1054152 1058145 1078110 1128688 1133352 1149984 1154340 1171280 1176120 1185921 1236384 1259280 1269774 1283040 1288408 1293732 1317690 1385208 1405536 1410860 1411344 1416690 1437480 1449459 1511136 1539120 1545480 1551946 1558359 1568160 1581228 1610510 1617165 1693032 1700028 1724976 1731510 1756920 1764180 1771561 1846944 1888920 1904661 1916640 1932612 1940598 1976535 2060640 2077812 2108304 2116290 2125035 2156220 2257376 2266704 2308680 2327919 2342560 2352240 2371842 2415765 2518560 2539548 2576816 2587464 2597265 2635380 2770416 2821720 2822688 2833380 2874960 2898918 3078240 3090960 3103892 3116718 3162456 3174435 3221020 3234330 3386064 3400056 3449952 3463020 3513840 3528360 3543122 3557763 3777840 3809322 3865224 3879865 3881196 3953070 4155624 4216608 4232580 4250070 4312440 4348377 4533408 4617360 4655838 4675077 4704480 4743684 4831530 4851495 5079096 5153632 5174928 5194530 5270760 5314683 5540832 5643440 5666760 5713983 5749920 5797836 5929605 6181920 6207784 6233436 6324912 6348870 6442040 6468660 6772128 6800112 6926040 6983757 7027680 7056720 7086244 7115526 7247295 7555680 7618644 7730448 7759730 7762392 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3380138388 3443914584 3456959715 3507690780 3687423696 3755709320 3756997728 3771228780 3826571760 4097137440 4114067760 4131280252 4148351658 4209228936 4225172985 4304893230 4506851184 4525474536 4591886112 4609279620 4676921040 4696247160 4735382553 5028305040 5070207582 5164100315 5165871876 5261536170 5531135544 5612305248 5633563980 5656843170 5739857640 6033966048 6145706160 6196920378 6222527487 6261662880 6313843404 6457339845 6760276776 6887829168 6913919430 7015381560 7374847392 7511418640 7542457560 7605311373 7653143520 7892304255 8228135520 8262560504 8296703316 8418457872 8450345970 8609786460 9013702368 9050949072 9218559240 9295380567 9353842080 9392494320 9470765106 10056610080 10140415164 10328200630 10331743752 10370879145 10523072340 11062271088 11267127960 11313686340 11479715280 12291412320 12393840756 12445054974 12627686808 12675518955 12914679690 13520553552 13775658336 13827838860 14030763120 14206147659 15022837280 15084915120 15210622746 15492300945 15784608510 16525121008 16593406632 16836915744 16900691940 17219572920 18101898144 18437118480 18590761134 18784988640 18941530212 20280830328 20656401260 20663487504 20741758290 21046144680 22124542176 22534255920 22627372680 22815934119 22959430560 23676912765 24787681512 24890109948 25255373616 25351037910 25829359380 27041107104 27655677720 27886141701 28061526240 28412295318 30169830240 30421245492 30984601890 31112637435 31569217020 33050242016 33186813264 33801383880 34439145840 36874236960 37181522268 37883060424 38026556865 40561660656 41312802520 41326975008 41483516580 42092289360 45068511840 45254745360 45631868238 46476902835 47353825530 49575363024 49780219896 50510747232 50702075820 51658718760 55311355440 55772283402 56824590636 60842490984 61969203780 62225274870 63138434040 66373626528 67602767760 68447802357 68878291680 71030738295 74363044536 75766120848 76053113730 81123321312 82625605040 82967033160 83658425103 84184578720 90509490720 91263736476 92953805670 94707651060 99150726048 99560439792 101404151640 103317437520 110622710880 111544566804 113649181272 114079670595 121684981968 123938407560 124450549740 126276868080 135205535520 136895604714 139430708505 142061476590 148726089072 151532241696 152106227460 165251210080 165934066320 167316850206 182527472952 185907611340 189415302120 199120879584 202808303280 206634875040 223089133608 227298362544 228159341190 243369963936 247876815120 248901099480 250975275309 252553736160 273791209428 278861417010 284122953180 297452178144 304212454920 331868132640 334633700412 342239011785 365054945904 371815222680 378830604240 405616606560 418292125515 446178267216 454596725088 456318682380 495753630240 497802198960 501950550618 547582418856 557722834020 568245906360 608424909840 669267400824 684478023570 730109891808 743630445360 752925825927 757661208480 836584251030 892356534432 912637364760 995604397920 1003901101236 1095164837712 1115445668040 1136491812720 1216849819680 1254876376545 1338534801648 1368956047140 1487260890720 1505851651854 1673168502060 1825274729520 2007802202472 2190329675424 2230891336080 2272983625440 2509752753090 2677069603296 2737912094280 3011703303708 3346337004120 3650549459040 3764629129635 4015604404944 4461782672160 5019505506180 5475824188560 6023406607416 6692674008240 7529258259270 8031208809888 10039011012360 10951648377120 12046813214832 13385348016480 15058516518540 20078022024720 24093626429664 30117033037080 40156044049440 60234066074160 120468132148320
- Sum of all divisors σ(n): 478241435020608
- Sum of proper divisors (its aliquot sum) s(n): 357773302872288
- 120468132148320 is an abundant number, because the sum of its proper divisors (357773302872288) is greater than itself. Its abundance is 237305170723968
Bases of 120468132148320
- Binary: 110110110010000101011000011100100110100011000002
- Hexadecimal: 0x6D90AC393460
- Base-36: 16PAANHI00
Squares and roots of 120468132148320
- 120468132148320 squared (1204681321483202) is 14512570863305090698478822400
- 120468132148320 cubed (1204681321483203) is 1748302304572496132981730028486135738368000
-
The
square root of 120468132148320 is 10975797.5631987671 -
The
cube root of 120468132148320 is 49388.2978816619
Scales and comparisons
How big is 120468132148320?- 120,468,132,148,320 seconds is equal to 3,830,513 years, 50 weeks, 3 days, 1 hour, 12 minutes.
-
To count from 1 to 120,468,132,148,320 would take you about nine million, five hundred seventy-six thousand, two hundred eighty-four 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 120468132148320 cubic inches would be around 4115.7 feet tall.
Recreational maths with 120468132148320
- 120468132148320 backwards is 023841231864021
- 120468132148320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 120468132148320's digits is 45
- More coming soon!
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"Number 120468132148320 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 120468132148320 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/120468132148320/
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The information we have on file for 120468132148320 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 120468132148320, math, Factors of 120468132148320, curriculum, school, college, exams, university, Prime factorization of 120468132148320, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty trillion, four hundred sixty-eight billion, one hundred thirty-two million, one hundred forty-eight thousand, three hundred twenty.