42126349175620320
42,126,349,175,620,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 42126349175620320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
42126349175620320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 42126349175620320:
25 × 3 × 5 × 132 × 1312 × 55012
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 131 × 131 × 5501 × 5501)See below for interesting mathematical facts about the number 42126349175620320 from the Numbermatics database.
Names of 42126349175620320
- Cardinal: 42126349175620320 can be written as Forty-two quadrillion, one hundred twenty-six trillion, three hundred forty-nine billion, one hundred seventy-five million, six hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.212634917562032 × 1016
Factors of 42126349175620320
Divisors of 42126349175620320
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 131 156 160 169 195 208 240 260 262 312 338 390 393 416 480 507 520 524 624 655 676 780 786 845 1014 1040 1048 1248 1310 1352 1560 1572 1690 1703 1965 2028 2080 2096 2535 2620 2704 3120 3144 3380 3406 3930 4056 4192 5070 5109 5240 5408 5501 6240 6288 6760 6812 7860 8112 8515 10140 10218 10480 11002 12576 13520 13624 15720 16224 16503 17030 17161 20280 20436 20960 22004 22139 25545 27040 27248 27505 31440 33006 34060 34322 40560 40872 44008 44278 51090 51483 54496 55010 62880 66012 66417 68120 68644 71513 81120 81744 82515 85805 88016 88556 102180 102966 110020 110695 132024 132834 136240 137288 143026 163488 165030 171610 176032 177112 204360 205932 214539 220040 221390 223093 257415 264048 265668 272480 274576 286052 330060 332085 343220 354224 357565 408720 411864 429078 440080 442780 446186 514830 528096 531336 549152 572104 660120 664170 669279 686440 708448 715130 720631 817440 823728 858156 880160 885560 892372 929669 1029660 1062672 1072695 1115465 1144208 1320240 1328340 1338558 1372880 1430260 1441262 1647456 1716312 1771120 1784744 1859338 2059320 2125344 2145390 2161893 2230930 2288416 2640480 2656680 2677116 2745760 2789007 2860520 2882524 2900209 3346395 3432624 3542240 3569488 3603155 3718676 4118640 4290780 4323786 4461860 4648345 5313360 5354232 5578014 5721040 5765048 5800418 6692790 6865248 7138976 7206310 7437352 8237280 8581560 8647572 8700627 8923720 9296690 9368203 10626720 10708464 10809465 11156028 11442080 11530096 11600836 13385580 13945035 14412620 14501045 14874704 17163120 17295144 17401254 17847440 18593380 18736406 21416928 21618930 22312056 23060192 23201672 26771160 27890070 28104609 28825240 29002090 29749408 30261001 34326240 34590288 34802508 35694880 37186760 37472812 43237860 43503135 44624112 46403344 46841015 53542320 55780140 56209218 57650480 58004180 60522002 69180576 69605016 74373520 74945624 86475720 87006270 89248224 90783003 92806688 93682030 94402661 107084640 111560280 112418436 115300960 116008360 121044004 121786639 139210032 140523045 148747040 149891248 151305005 172951440 174012540 181566006 187364060 188805322 223120560 224836872 232016720 242088008 243573278 278420064 281046090 283207983 299782496 302610010 345902880 348025080 363132012 365359917 374728120 377610644 393393013 446241120 449673744 453915015 464033440 472013305 484176016 487146556 562092180 566415966 605220020 608933195 696050160 726264024 730719834 749456240 755221288 786786026 899347488 907830030 944026610 968352032 974293112 1124184360 1132831932 1180179039 1210440040 1217866390 1227234593 1392100320 1416039915 1452528048 1461439668 1498912480 1510442576 1573572052 1815660060 1826799585 1888053220 1948586224 1966965065 2248368720 2265663864 2360358078 2420880080 2435732780 2454469186 2832079830 2905056096 2922879336 3020885152 3147144104 3631320120 3653599170 3681703779 3776106440 3897172448 3933930130 3964191131 4496737440 4531327728 4720716156 4841760160 4871465560 4908938372 5114109169 5664159660 5845758672 5900895195 6136172965 6294288208 7262640240 7307198340 7363407558 7552212880 7867860260 7928382262 9062655456 9441432312 9742931120 9817876744 10228218338 11328319320 11691517344 11801790390 11892573393 12272345930 12588576416 14525280480 14614396680 14726815116 15104425760 15342327507 15735720520 15856764524 15954049709 18408518895 18882864624 19485862240 19635753488 19820955655 20456436676 22656638640 23603580780 23785146786 24544691860 25570545845 29228793360 29453630232 30684655014 31471441040 31713529048 31908099418 36817037790 37765729248 39271506976 39641911310 40912873352 45313277280 47207161560 47570293572 47862149127 49089383720 51141091690 51534484703 58457586720 58907260464 59462866965 61369310028 62942882080 63427058096 63816198836 73634075580 76711637535 79283822620 79770248545 81825746704 94414323120 95140587144 95724298254 98178767440 102282183380 103068969406 117814520928 118925733930 122738620056 126854116192 127632397672 147268151160 153423275070 154603454109 158567645240 159540497090 163651493408 188828646240 190281174288 191448596508 196357534880 204564366760 206137938812 237851467860 239310745635 245477240112 255264795344 257672423515 294536302320 306846550140 309206908218 317135290480 319080994180 380562348576 382897193016 409128733520 412275877624 475702935720 478621491270 490954480224 510529590688 515344847030 519309038161 589072604640 613693100280 618413816436 634270580960 638161988360 669948301139 765794386032 773017270545 818257467040 824551755248 951405871440 957242982540 1030689694060 1038618076322 1227386200560 1236827632872 1276323976720 1339896602278 1531588772064 1546034541090 1557927114483 1649103510496 1902811742880 1914485965080 2009844903417 2061379388120 2077236152644 2454772401120 2473655265744 2552647953440 2596545190805 2679793204556 3092069082180 3115854228966 3349741505695 3828971930160 4019689806834 4122758776240 4154472305288 4947310531488 5193090381610 5359586409112 6184138164360 6231708457932 6699483011390 6751017496093 7657943860320 7789635572415 8039379613668 8245517552480 8308944610576 10049224517085 10386180763220 10719172818224 12368276328720 12463416915864 13398966022780 13502034992186 15579271144830 16078759227336 16617889221152 20098449034170 20253052488279 20772361526440 21438345636448 24736552657440 24926833831728 26797932045560 27004069984372 31158542289660 32157518454672 33755087480465 40196898068340 40506104976558 41544723052880 49853667663456 53595864091120 54008139968744 62317084579320 64315036909344 67510174960930 80393796136680 81012209953116 83089446105760 87763227449209 101265262441395 107191728182240 108016279937488 124634169158640 135020349921860 160787592273360 162024419906232 175526454898418 202530524882790 216032559874976 249268338317280 263289682347627 270040699843720 321575184546720 324048839812464 351052909796836 405061049765580 438816137246045 526579364695254 540081399687440 648097679624928 702105819593672 810122099531160 877632274492090 1053158729390508 1080162799374880 1316448411738135 1404211639187344 1620244199062320 1755264548984180 2106317458781016 2632896823476270 2808423278374688 3240488398124640 3510529097968360 4212634917562032 5265793646952540 7021058195936720 8425269835124064 10531587293905080 14042116391873440 21063174587810160 42126349175620320
- Sum of all divisors σ(n): 144822309091523784
- Sum of proper divisors (its aliquot sum) s(n): 102695959915903464
- 42126349175620320 is an abundant number, because the sum of its proper divisors (102695959915903464) is greater than itself. Its abundance is 60569610740283144
Bases of 42126349175620320
- Binary: 100101011010100110110000111111100100110000000010111000002
- Hexadecimal: 0x95A9B0FE4C02E0
- Base-36: BISJLN926LC
Squares and roots of 42126349175620320
- 42126349175620320 squared (421263491756203202) is 1774629294866286814465856796902400
- 42126349175620320 cubed (421263491756203203) is 74758653332822071326078579578607021083774496768000
-
The
square root of 42126349175620320 is 205247044.2555027879 -
The
cube root of 42126349175620320 is 347950.8814929193
Scales and comparisons
How big is 42126349175620320?- 42,126,349,175,620,320 seconds is equal to 1,339,487,598 years, 22 weeks, 2 days, 22 hours, 32 minutes.
-
To count from 1 to 42,126,349,175,620,320 would take you about four billion, eighteen million, four hundred sixty-two thousand, seven hundred ninety-five 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 42126349175620320 cubic inches would be around 28995.9 feet tall.
Recreational maths with 42126349175620320
- 42126349175620320 backwards is 02302657194362124
- The number of decimal digits it has is: 17
- The sum of 42126349175620320's digits is 57
- More coming soon!
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The information we have on file for 42126349175620320 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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