142372026907832194200
142,372,026,907,832,194,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 142372026907832194200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
142372026907832194200 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 142372026907832194200:
23 × 34 × 52 × 72 × 13 × 127 × 3295972
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 127 × 329597 × 329597)See below for interesting mathematical facts about the number 142372026907832194200 from the Numbermatics database.
Names of 142372026907832194200
- Cardinal: 142372026907832194200 can be written as One hundred forty-two quintillion, three hundred seventy-two quadrillion, twenty-six trillion, nine hundred seven billion, eight hundred thirty-two million, one hundred ninety-four thousand, two hundred.
Scientific notation
- Scientific notation: 1.423720269078321942 × 1020
Factors of 142372026907832194200
Divisors of 142372026907832194200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 25 26 27 28 30 35 36 39 40 42 45 49 50 52 54 56 60 63 65 70 72 75 78 81 84 90 91 98 100 104 105 108 117 120 126 127 130 135 140 147 150 156 162 168 175 180 182 189 195 196 200 210 216 225 234 245 252 254 260 270 273 280 294 300 312 315 324 325 350 351 360 364 378 381 390 392 405 420 441 450 455 468 490 504 508 520 525 540 546 567 585 588 600 630 635 637 648 650 675 700 702 728 735 756 762 780 810 819 840 882 889 900 910 936 945 975 980 1016 1050 1053 1080 1092 1134 1143 1170 1176 1225 1260 1270 1274 1300 1323 1350 1365 1400 1404 1470 1512 1524 1560 1575 1620 1638 1651 1755 1764 1778 1800 1820 1890 1905 1911 1950 1960 2025 2100 2106 2184 2205 2268 2275 2286 2340 2450 2457 2520 2540 2548 2600 2646 2667 2700 2730 2808 2835 2925 2940 3048 3150 3175 3185 3240 3276 3302 3429 3510 3528 3556 3640 3675 3780 3810 3822 3900 3969 4050 4095 4200 4212 4410 4445 4536 4550 4572 4680 4725 4900 4914 4953 5080 5096 5265 5292 5334 5400 5460 5670 5715 5733 5850 5880 6223 6300 6350 6370 6552 6604 6615 6825 6858 7020 7112 7350 7371 7560 7620 7644 7800 7938 8001 8100 8190 8255 8424 8775 8820 8890 9100 9144 9450 9525 9555 9800 9828 9906 10287 10530 10584 10668 10920 11025 11340 11430 11466 11557 11700 12285 12446 12600 12700 12740 13208 13230 13335 13650 13716 14040 14175 14700 14742 14859 15240 15288 15876 15925 16002 16200 16380 16510 17145 17199 17550 17640 17780 18200 18669 18900 19050 19110 19656 19812 19845 20475 20574 21060 21336 22050 22225 22680 22860 22932 23114 23400 24003 24570 24765 24892 25400 25480 26325 26460 26670 27300 27432 28350 28575 28665 29400 29484 29718 31115 31752 31850 32004 32760 33020 33075 34290 34398 34671 35100 35560 36855 37338 37800 38100 38220 39624 39690 40005 40950 41148 41275 42120 44100 44450 44577 45720 45864 46228 47775 48006 49140 49530 49784 51435 51597 52650 52920 53340 54600 56007 56700 57150 57330 57785 58968 59436 61425 62230 63700 64008 66040 66150 66675 68580 68796 69342 70200 72009 73710 74295 74676 76200 76440 79380 80010 80899 81900 82296 82550 85725 85995 88200 88900 89154 92456 93345 95550 96012 98280 99060 99225 102870 103194 104013 105300 106680 112014 113400 114300 114660 115570 118872 120015 122850 123825 124460 127400 132300 133350 133731 137160 137592 138684 143325 144018 147420 148590 149352 155575 158760 160020 161798 163800 165100 168021 171450 171990 173355 177800 178308 184275 186690 191100 192024 198120 198450 200025 205740 206388 208026 210600 222885 224028 228600 229320 231140 240030 242697 245700 247650 248920 257175 257985 264600 266700 267462 277368 280035 286650 288036 288925 294840 297180 311150 312039 320040 323596 329597 330200 336042 342900 343980 346710 356616 360045 368550 371475 373380 382200 396900 400050 404495 411480 412776 416052 429975 445770 448056 462280 466725 480060 485394 491400 495300 504063 514350 515970 520065 533400 534924 560070 573300 576072 577850 594360 600075 622300 624078 647192 659194 668655 672084 685800 687960 693420 720090 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6227997677507970 6277426230504065 6405940468293912 6456781265661324 6672854654472825 6760305171312070 6919997419453300 6953456747635272 7174201406290360 7186151166355350 7243184112120075 7450132229609220 7473597213009564 7532911476604878 7626119605111800 7822638841089681 8007425585367390 8070976582076655 8112366205574484 8277924699565800 8303996903343960 8623381399626420 8691820934544090 8788396722705691 8897139539297100 8940158675531064 8967751757862950 9312665287011525 9341996516261955 9581534888473800 9657578816160100 9685171898491986 10043881968806504 10140457756968105 10379996129179950 10430185121452908 10676567447156520 10761302109435540 10779226749533025 11175198344413830 11210395819514346 11299367214907317 11439179407667700 11589094579392120 12168549308361726 12319116285180600 12416887049348700 12455995355015940 12554852461008130 12913562531322648 13037731401816135 13345709308945650 13451627636794425 13520610342624140 13839994838906600 14372302332710700 14486368224240150 14527757847737979 14900264459218440 14947194426019128 15065822953209756 15569994193769925 15645277682179362 16014851170734780 16141953164153310 16224732411148968 16900762928280175 17246762799252840 17383641869088180 17576793445411382 17794279078594200 17935503515725900 18252823962542589 18625330574023050 18683993032523910 18832278691512195 19315157632320200 19370343796983972 20018563963418475 20280915513936210 20759992258359900 20860370242905816 21522604218871080 21558453499066050 21729552336360225 22350396688827660 22420791639028692 22598734429814634 22878358815335400 24212929746229965 24337098616723452 24833774098697400 24911990710031880 25109704922016260 26075462803632270 26365190168117073 26691418617891300 26903255273588850 27041220685248280 27937995861034575 28025989548785865 28744604665421400 28972736448480300 29055515695475958 30131645906419512 30421373270904315 31139988387539850 31290555364358724 31387131152520325 32029702341469560 32283906328306620 33801525856560350 33898101644721951 34767283738176360 35153586890822764 35871007031451800 36505647925085178 37250661148046100 37367986065047820 37664557383024390 38740687593967944 39113194205448405 40037127926836950 40354882910383275 40561831027872420 41519984516719800 43116906998132100 43459104672720450 43941983613528455 44700793377655320 44841583278057384 45197468859629268 46709982581309775 48425859492459930 48674197233446904 50219409844032520 50702288784840525 52150925607264540 52730380336234146 53382837235782600 53806510547177700 54758471887627767 55875991722069150 56051979097571730 56496836074536585 57945472896960600 58111031390951916 60842746541808630 62279976775079700 62581110728717448 62774262305040650 64567812656613240 65188657009080675 67603051713120700 67796203289443902 70307173781645528 72638789238689895 73011295850170356 74501322296092200 74735972130095640 75329114766048780 78226388410896810 79095570504351219 80074255853673900 80709765820766550 81123662055744840 86233813996264200 86918209345440900 87883967227056910 90394937719258536 91264119812712945 93419965162619550 94161393457560975 96851718984919860 101404577569681050 101694304934165853 104301851214529080 105460760672468292 107613021094355400 109516943775255534 111751983444138300 112103958195143460 112993672149073170 116222062781903832 121064648731149825 121685493083617260 124559953550159400 125548524610081300 130377314018161350 131825950840585365 135206103426241400 135592406578887804 140129947743929325 145277578477379790 146022591700340712 150658229532097560 152106866354521575 156452776821793620 158191141008702438 160148511707347800 161419531641533100 169490508223609755 173836418690881800 175767934454113820 182528239625425890 186839930325239100 188322786915121950 193703437969839720 195565971027242025 202809155139362100 203388609868331706 210921521344936584 219033887550511068 219709918067642275 223503966888276600 224207916390286920 225987344298146340 237286711513053657 242129297462299650 243370986167234520 251097049220162600 260754628036322700 263651901681170730 271184813157775608 273792359438138835 280259895487858650 282484180372682925 290555156954759580 304213732709043150 312905553643587240 316382282017404876 322839063283066200 338981016447219510 351535868908227640 363193946193449475 365056479250851780 373679860650478200 376645573830243900 391131942054484050 395477852521756095 405618310278724200 406777219736663412 438067775101022136 439419836135284550 451974688596292680 456320599063564725 474573423026107314 484258594924599300 508471524670829265 521509256072645400 527303803362341460 547584718876277670 560519790975717300 564968360745365850 581110313909519160 608427465418086300 632764564034809752 659129754202926825 677962032894439020 711860134539160971 726387892386898950 730112958501703560 753291147660487800 782263884108968100 790955705043512190 813554439473326824 847452541118048775 878839672270569100 912641198127129450 949146846052214628 968517189849198600 1016943049341658530 1054607606724682920 1095169437752555340 1121039581951434600 1129936721490731700 1186433557565268285 1216854930836172600 1318259508405853650 1355924065788878040 1368961797190694175 1423720269078321942 1452775784773797900 1564527768217936200 1581911410087024380 1694905082236097550 1757679344541138200 1825282396254258900 1898293692104429256 1977389262608780475 2033886098683317060 2190338875505110680 2259873442981463400 2372867115130536570 2542357623354146325 2636519016811707300 2737923594381388350 2847440538156643884 2905551569547595800 3163822820174048760 3389810164472195100 3559300672695804855 3650564792508517800 3954778525217560950 4067772197366634120 4745734230261073140 5084715246708292650 5273038033623414600 5475847188762776700 5694881076313287768 5932167787826341425 6779620328944390200 7118601345391609710 7909557050435121900 9491468460522146280 10169430493416585300 10951694377525553400 11864335575652682850 14237202690783219420 15819114100870243800 17796503363479024275 20338860986833170600 23728671151305365700 28474405381566438840 35593006726958048550 47457342302610731400 71186013453916097100 142372026907832194200
- Sum of all divisors σ(n): 624336897641335845120
- Sum of proper divisors (its aliquot sum) s(n): 481964870733503650920
- 142372026907832194200 is an abundant number, because the sum of its proper divisors (481964870733503650920) is greater than itself. Its abundance is 339592843825671456720
Bases of 142372026907832194200
- Binary: 11110110111110011110000110000100111010000011011000110010100100110002
- Hexadecimal: 0x7B7CF0C2741B19498
- Base-36: U1OBZH9QX8XI0
Squares and roots of 142372026907832194200
- 142372026907832194200 squared (1423720269078321942002) is 20269794045844494336718191225986513640000
- 142372026907832194200 cubed (1423720269078321942003) is 2885851663311189144285197761591472963345959377409428888000000
-
The
square root of 142372026907832194200 is 11931974979.3499061879 -
The
cube root of 142372026907832194200 is 5221655.5832015515
Scales and comparisons
How big is 142372026907832194200?- 142,372,026,907,832,194,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 142,372,026,907,832,194,200 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 142372026907832194200 cubic inches would be around 435138 feet tall.
Recreational maths with 142372026907832194200
- 142372026907832194200 backwards is 002491238709620273241
- 142372026907832194200 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 142372026907832194200's digits is 72
- More coming soon!
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"Number 142372026907832194200 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 142372026907832194200 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/142372026907832194200/
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Numbermatics. 2024. "Number 142372026907832194200 - Facts about the integer". https://numbermatics.com/n/142372026907832194200/
The information we have on file for 142372026907832194200 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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