146126021371200
146,126,021,371,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 146126021371200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1890 divisors.
146126021371200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 146126021371200:
26 × 34 × 52 × 13 × 672 × 1392
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 67 × 67 × 139 × 139)See below for interesting mathematical facts about the number 146126021371200 from the Numbermatics database.
Names of 146126021371200
- Cardinal: 146126021371200 can be written as One hundred forty-six trillion, one hundred twenty-six billion, twenty-one million, three hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.461260213712 × 1014
Factors of 146126021371200
Divisors of 146126021371200
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 67 72 75 78 80 81 90 96 100 104 108 117 120 130 134 135 139 144 150 156 160 162 180 192 195 200 201 208 216 225 234 240 260 268 270 278 288 300 312 320 324 325 335 351 360 390 400 402 405 416 417 432 450 468 480 520 536 540 556 576 585 600 603 624 648 650 670 675 695 702 720 780 800 804 810 832 834 864 871 900 936 960 975 1005 1040 1053 1072 1080 1112 1170 1200 1206 1248 1251 1296 1300 1340 1350 1390 1404 1440 1560 1600 1608 1620 1668 1675 1728 1742 1755 1800 1807 1809 1872 1950 2010 2025 2080 2085 2106 2144 2160 2224 2340 2400 2412 2496 2502 2592 2600 2613 2680 2700 2780 2808 2880 2925 3015 3120 3216 3240 3336 3350 3475 3484 3510 3600 3614 3618 3744 3753 3900 4020 4050 4160 4170 4212 4288 4320 4355 4448 4489 4680 4800 4824 5004 5025 5184 5200 5226 5265 5360 5400 5421 5427 5560 5616 5850 6030 6240 6255 6432 6480 6672 6700 6950 6968 7020 7200 7228 7236 7488 7506 7800 7839 8040 8100 8340 8424 8640 8710 8775 8896 8978 9035 9045 9313 9360 9648 10008 10050 10400 10425 10452 10530 10720 10800 10842 10854 11120 11232 11259 11700 12060 12480 12510 12864 12960 13065 13344 13400 13467 13900 13936 14040 14400 14456 14472 15012 15075 15600 15678 16080 16200 16263 16680 16848 17420 17550 17956 18070 18090 18626 18720 18765 19296 19321 20016 20100 20800 20850 20904 21060 21440 21600 21684 21708 21775 22240 22445 22464 22518 23400 23517 24120 25020 25920 26130 26325 26688 26800 26934 27105 27135 27800 27872 27939 28080 28912 28944 30024 30150 31200 31275 31356 32160 32400 32526 33360 33696 34840 35100 35912 36140 36180 37252 37440 37530 38592 38642 39195 40032 40200 40401 41700 41808 42120 43200 43368 43416 43550 44480 44890 45036 45175 45225 46565 46800 47034 48240 48789 50040 52260 52650 53600 53868 54210 54270 55600 55744 55878 56160 56295 57824 57888 57963 58357 60048 60300 62400 62550 62712 64320 64800 65052 65325 66720 67335 67392 69680 70200 70551 71824 72280 72360 74504 75060 77284 78390 80064 80400 80802 81315 83400 83616 83817 84240 86736 86832 87100 89780 90072 90350 90450 93130 93600 93825 94068 96480 96605 97578 100080 104520 105300 107200 107736 108420 108540 111200 111756 112225 112320 112590 115648 115776 115926 116714 117585 120096 120600 121069 121203 125100 125424 129600 130104 130650 133440 134670 135525 135675 139360 139695 140400 141102 143648 144560 144720 146367 149008 150120 154568 156780 160800 161604 162630 166800 167232 167634 168480 173472 173664 173889 174200 175071 179560 180144 180700 180900 186260 187200 187650 188136 192960 193210 195156 195975 200160 202005 209040 210600 215472 216840 217080 222400 223512 224450 225180 231852 232825 233428 235170 240192 241200 242138 242406 243945 250200 250848 251173 251451 260208 261300 269340 271050 271350 278720 279390 280800 281475 282204 287296 289120 289440 289815 291785 292734 298016 300240 309136 313560 321600 323208 325260 333600 335268 336675 336960 346944 347328 347778 348400 350142 352755 359120 360288 361400 361800 363207 363609 372520 375300 376272 386420 390312 391950 400320 404010 406575 418080 419085 421200 430944 433680 434160 447024 448900 450360 463704 465650 466856 470340 482400 483025 484276 484812 487890 500400 501696 502346 502902 520416 521667 522600 525213 538680 542100 542700 558780 561600 562950 564408 578240 578880 579630 583570 585468 587925 596032 600480 605345 606015 618272 623971 627120 646416 650520 667200 670536 673350 695556 696800 698475 700284 705510 718240 720576 722800 723600 726414 727218 731835 745040 750600 752544 753519 754353 772840 780624 783900 808020 813150 836160 838170 842400 861888 867360 868320 869445 875355 894048 897800 900720 927408 931300 933712 940680 964800 966050 968552 969624 975780 1000800 1004692 1005804 1010025 1040832 1043334 1045200 1050426 1077360 1084200 1085400 1089621 1117560 1125900 1128816 1159260 1167140 1170936 1175850 1200960 1210690 1212030 1219725 1236544 1247942 1254240 1255865 1257255 1292832 1294507 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72721800 73004607 74876520 75351900 75435300 75630672 77670420 78062400 78250050 78452712 78781950 80375360 80464320 81116230 81380052 81721575 82848448 83466720 84034080 84142955 84236085 86731969 87169680 89851824 90422280 92740800 93204504 93371200 93595650 94538340 96855200 96962400 97088025 97339476 98065890 99835360 100160064 100469200 100580400 100840896 100971546 101083302 101725065 103560560 104333400 104603616 104855067 105042600 108506736 108962100 112314780 112881600 113027850 116226240 116354880 116505630 117093600 118172925 119802432 120563040 120696480 121674345 124272672 124794200 125200080 126051120 129450700 129785968 130754520 134107200 134628728 134777736 135633420 139111200 139806756 140056800 140393475 144675648 145282800 145443600 146009214 149753040 150703800 150870600 151261344 151457319 155340840 156500100 156905424 157563900 162232460 162760104 163443150 166933440 168068160 168285910 168472170 169541775 173463938 174339360 174758445 179703648 180844560 186409008 187191300 189076680 193710400 193924800 194176050 194678952 196131780 199670720 200938400 201160800 201943092 202166604 202790575 203450130 207121120 208666800 209207232 209710134 210085200 217013472 217924200 219013821 224629560 226055700 233011260 234187200 236345850 241126080 241392960 243348690 245164725 248545344 249588400 250400160 252102240 252428865 252708255 258901400 259571936 260195907 261509040 269257456 269555472 271266840 278222400 279613512 280113600 280786950 290565600 290887200 291264075 292018428 299506080 301407600 301741200 302522688 302914638 310681680 313000200 313810848 315127800 324464920 325520208 326886300 336571820 336944340 339083550 346927876 348678720 349516890 359407296 361689120 365023035 372818016 374382600 378153360 388352100 389357904 392263560 401876800 402321600 403886184 404333208 405581150 406900260 414242240 417333600 419420268 420170400 420714775 421180425 433659845 434026944 435848400 438027642 449259120 452111400 454371957 466022520 472691700 486697380 490329450 499176800 500800320 504204480 504857730 505416510 508625325 517802800 519143872 520391814 523018080 524275335 538514912 539110944 542533680 559227024 561573900 581131200 581774400 582528150 584036856 599012160 602815200 603482400 605829276 608371725 621363360 626000400 627621696 630255600 648929840 651040416 653772600 657041463 673143640 673888680 678167100 693855752 699033780 723378240 730046070 745636032 748765200 756306720 757286595 776704200 778715808 780587721 784527120 807772368 808666416 811162300 813800520 834667200 838840536 840340800 841429550 842360850 867319690 871696800 873792225 876055284 898518240 904222800 908743914 932045040 945383400 973394760 980658900 998353600 1009715460 1010833020 1017250650 1035605600 1040783628 1046036160 1048550670 1077029824 1078221888 1085067360 1095069105 1118454048 1123147800 1127515597 1165056300 1168073712 1205630400 1206964800 1211658552 1216743450 1242726720 1252000800 1260511200 1262144325 1263541275 1297859680 1300979535 1302080832 1307545200 1314082926 1346287280 1347777360 1356334200 1363115871 1387711504 1398067560 1460092140 1497530400 1512613440 1514573190 1553408400 1557431616 1561175442 1569054240 1615544736 1617332832 1622324600 1627601040 1677681072 1682859100 1684721700 1734639380 1743393600 1747584450 1752110568 1797036480 1808445600 1817487828 1825115175 1864090080 1890766800 1946789520 1961317800 2019430920 2021666040 2034501300 2071211200 2081567256 2097101340 2168299225 2170134720 2190138210 2236908096 2246295600 2255031194 2271859785 2330112600 2336147424 2341763163 2423317104 2433486900 2504001600 2521022400 2524288650 2527082550 2595719360 2601959070 2615090400 2621376675 2628165852 2692574560 2695554720 2712668400 2726231742 2775423008 2796135120 2920184280 2995060800 3029146380 3106816800 3122350884 3138108480 3231089472 3234665664 3244649200 3255202080 3285207315 3355362144 3365718200 3369443400 3382546791 3469278760 3495168900 3504221136 3616891200 3634975656 3650230350 3728180160 3781533600 3786432975 3893579040 3902938605 3922635600 4038861840 4043332080 4069002600 4163134512 4194202680 4336598450 4380276420 4492591200 4510062388 4543719570 4660225200 4672294848 4683526326 4846634208 4866973800 5048577300 5054165100 5203918140 5230180800 5242753350 5256331704 5385149120 5391109440 5425336800 5452463484 5475345525 5550846016 5592270240 5637577985 5840368560 6058292760 6213633600 6244701768 6489298400 6504897675 6510404160 6570414630 6710724288 6731436400 6738886800 6765093582 6815579355 6938557520 6990337800 7008442272 7025289489 7269951312 7300460700 7563067200 7572865950 7787158080 7805877210 7845271200 8077723680 8086664160 8138005200 8326269024 8388405360 8673196900 8760552840 8985182400 9020124776 9087439140 9320450400 9367052652 9693268416 9733947600 10097154600 10108330200 10147640373 10407836280 10485506700 10512663408 10850673600 10904926968 10950691050 11184540480 11275155970 11359298925 11680737120 11708815815 12116585520 12489403536 12978596800 13009795350 13140829260 13462872800 13477773600 13530187164 13631158710 13877115040 13980675600 14016884544 14050578978 14539902624 14600921400 15145731900 15611754420 15690542400 16155447360 16173328320 16276010400 16426036575 16652538048 16776810720 16912733955 17346393800 17521105680 18040249552 18174878280 18640900800 18734105304 19467895200 19514693025 20194309200 20216660400 20295280746 20815672560 20971013400 21025326816 21809853936 21901382100 22550311940 22718597850 23361474240 23417631630 24233171040 24978807072 26019590700 26281658520 26925745600 26955547200 27060374328 27262317420 27754230080 27961351200 28101157956 28187889925 29079805248 29201842800 30291463800 30442921119 31223508840 32552020800 32852073150 33553621440 33825467910 34077896775 34692787600 35042211360 35126447445 36080499104 36349756560 37468210608 38935790400 39029386050 40388618400 40433320800 40590561492 41631345120 41942026800 42050653632 43619707872 43802764200 45100623880 45437195700 46835263260 48466342080 49957614144 50738201865 52039181400 52563317040 54120748656 54524634840 55922702400 56202315912 56375779850 58403685600 58544079075 60582927600 60885842238 62447017680 65704146300 67650935820 68155793550 69385575200 70084422720 70252894890 72160998208 72699513120 74936421216 78058772100 80777236800 80866641600 81181122984 83262690240 83884053600 84563669775 87239415744 87605528400 90201247760 90874391400 91328763357 93670526520 101476403730 104078362800 105126634080 108241497312 109049269680 112404631824 112751559700 116807371200 117088158150 121165855200 121771684476 124894035360 131408292600 135301871640 136311587100 138771150400 140505789780 145399026240 149872842432 152214605595 156117544200 162362245968 167768107200 169127339550 175211056800 175632237225 180402495520 181748782800 182657526714 187341053040 202952807460 208156725600 210253268160 216482994624 218098539360 224809263648 225503119400 234176316300 242331710400 243543368952 249788070720 253691009325 262816585200 270603743280 272623174200 281011579560 304429211190 312235088400 324724491936 338254679100 350422113600 351264474450 360804991040 363497565600 365315053428 374682106080 405905614920 416313451200 436197078720 449618527296 451006238800 456643816785 468352632600 487086737904 507382018650 525633170400 541207486560 545246348400 562023159120 608858422380 624470176800 649448983872 676509358200 702528948900 726995131200 730630106856 749364212160 761073027975 811811229840 902012477600 913287633570 936705265200 974173475808 1014764037300 1051266340800 1082414973120 1090492696800 1124046318240 1217716844760 1248940353600 1353018716400 1405057897800 1461260213712 1522146055950 1623622459680 1804024955200 1826575267140 1873410530400 1948346951616 2029528074600 2180985393600 2248092636480 2283219083925 2435433689520 2706037432800 2810115795600 2922520427424 3044292111900 3247244919360 3653150534280 3746821060800 4059056149200 4566438167850 4870867379040 5412074865600 5620231591200 5845040854848 6088584223800 7306301068560 8118112298400 9132876335700 9741734758080 11240463182400 12177168447600 14612602137120 16236224596800 18265752671400 24354336895200 29225204274240 36531505342800 48708673790400 73063010685600 146126021371200
- Sum of all divisors σ(n): 591456762903006
- Sum of proper divisors (its aliquot sum) s(n): 445330741531806
- 146126021371200 is an abundant number, because the sum of its proper divisors (445330741531806) is greater than itself. Its abundance is 299204720160606
Bases of 146126021371200
- Binary: 1000010011100110100111011001100010100101010000002
- Hexadecimal: 0x84E69D98A540
- Base-36: 1FSPD89G00
Squares and roots of 146126021371200
- 146126021371200 squared (1461260213712002) is 21352814121776399128189440000
- 146126021371200 cubed (1461260213712003) is 3120201772693959258313591157802160128000000
-
The
square root of 146126021371200 is 12088259.6502226077 -
The
cube root of 146126021371200 is 52671.5202181153
Scales and comparisons
How big is 146126021371200?- 146,126,021,371,200 seconds is equal to 4,646,355 years, 25 weeks, 12 hours.
-
To count from 1 to 146,126,021,371,200 would take you about eleven million, six hundred fifteen thousand, eight hundred eighty-eight 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 146126021371200 cubic inches would be around 4389.3 feet tall.
Recreational maths with 146126021371200
- 146126021371200 backwards is 002173120621641
- 146126021371200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146126021371200's digits is 36
- More coming soon!
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"Number 146126021371200 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 146126021371200 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/146126021371200/
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The information we have on file for 146126021371200 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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