142972168102400
142,972,168,102,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 142972168102400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
142972168102400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 142972168102400:
29 × 52 × 7 × 13 × 277 × 347 × 1277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 277 × 347 × 1277)See below for interesting mathematical facts about the number 142972168102400 from the Numbermatics database.
Names of 142972168102400
- Cardinal: 142972168102400 can be written as One hundred forty-two trillion, nine hundred seventy-two billion, one hundred sixty-eight million, one hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 1.429721681024 × 1014
Factors of 142972168102400
Divisors of 142972168102400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 128 130 140 160 175 182 200 208 224 256 260 277 280 320 325 347 350 364 400 416 448 455 512 520 554 560 640 650 694 700 728 800 832 896 910 1040 1108 1120 1277 1280 1300 1385 1388 1400 1456 1600 1664 1735 1792 1820 1939 2080 2216 2240 2275 2429 2554 2560 2600 2770 2776 2800 2912 3200 3328 3470 3584 3601 3640 3878 4160 4432 4480 4511 4550 4858 5108 5200 5540 5552 5600 5824 6385 6400 6656 6925 6940 7202 7280 7756 8320 8675 8864 8939 8960 9022 9100 9695 9716 10216 10400 11080 11104 11200 11648 12145 12770 12800 13850 13880 14404 14560 15512 16601 16640 17350 17728 17878 17920 18005 18044 18200 19390 19432 20432 20800 22160 22208 22400 22555 23296 24290 25207 25540 27700 27760 28808 29120 31024 31577 31925 33202 33280 34700 35456 35756 36010 36088 36400 38780 38864 40864 41600 44320 44416 44695 44800 45110 46592 48475 48580 50414 51080 55400 55520 57616 58240 60725 62048 63154 63850 66404 69400 70912 71512 72020 72176 72800 77560 77728 81728 83005 83200 88640 88832 89390 89600 90025 90220 96119 96950 97160 100828 102160 110800 111040 112775 115232 116207 116480 121450 124096 126035 126308 127700 132808 138800 141824 143024 144040 144352 145600 155120 155456 157885 163456 166010 166400 177280 177664 178780 180050 180440 192238 193900 194320 201656 204320 221600 222080 223475 225550 230464 232414 232960 242900 248192 252070 252616 255400 265616 277600 286048 288080 288704 291200 310240 310912 315770 326912 332020 353729 354560 357560 360100 360880 384476 387800 388640 403312 408640 415025 443119 443200 444160 446950 451100 460928 464828 480595 485800 496384 504140 505232 510800 531232 555200 572096 576160 577408 581035 582400 620480 621824 630175 631540 653824 664040 672833 707458 709120 715120 720200 721760 768952 775600 777280 789425 806624 817280 830050 886238 886400 888320 893900 902200 921856 929656 961190 971600 992768 1008280 1010464 1021600 1062464 1110400 1144192 1152320 1154816 1162070 1164800 1240960 1243648 1249547 1260350 1263080 1328080 1345666 1414916 1430240 1440400 1443520 1537904 1551200 1554560 1578850 1613248 1634560 1660100 1768645 1772476 1772800 1787800 1804400 1843712 1859312 1922380 1943200 2016560 2020928 2043200 2124928 2215595 2220800 2288384 2304640 2309632 2324140 2402975 2476103 2481920 2499094 2520700 2526160 2656160 2691332 2829832 2860480 2880800 2887040 2905175 3075808 3101833 3102400 3109120 3157700 3226496 3269120 3320200 3364165 3537290 3544952 3545600 3575600 3608800 3718624 3844760 3886400 4033120 4041856 4086400 4249856 4431190 4441600 4576768 4598477 4609280 4648280 4805950 4952206 4963840 4998188 5041400 5052320 5312320 5382664 5659664 5720960 5760547 5761600 5774080 5810350 6151616 6203666 6204800 6218240 6247735 6315400 6452992 6640400 6728330 7074580 7089904 7151200 7217600 7437248 7689520 7772800 8066240 8083712 8172800 8499712 8746829 8843225 8862380 9196954 9218560 9296560 9611900 9904412 9996376 10082800 10104640 10624640 10765328 11077975 11319328 11441920 11521094 11523200 11548160 11620700 12303232 12380515 12407332 12409600 12495470 12630800 12905984 13280800 13456660 14149160 14179808 14302400 14435200 14874496 15379040 15509165 15545600 16132480 16167424 16345600 16820825 17493658 17686450 17724760 18393908 18593120 19223800 19808824 19992752 20165600 20209280 21249280 21530656 22155950 22638656 22883840 22992385 23042188 23046400 23241400 24606464 24761030 24814664 24819200 24990940 25261600 26561600 26913320 28298320 28359616 28604800 28802735 28870400 29748992 30758080 31018330 31091200 31238675 32189339 32264960 33641650 34987316 35372900 35449520 36787816 37186240 38447600 39617648 39985504 40323829 40331200 40418560 42498560 43061312 43734145 44311900 45277312 45984770 46084376 46092800 46482800 49212928 49522060 49629328 49981880 50523200 53123200 53826640 56596640 56719232 57209600 57605470 57740800 59497984 61516160 61902575 62036660 62477350 64378678 64529920 67283300 69974632 70745800 70899040 73575632 74372480 76895200 77545825 79235296 79971008 80647658 80662400 80837120 86122624 87468290 88623800 90554624 91969540 92168752 92965600 99044120 99258656 99963760 101046400 106246400 107653280 113193280 113438464 114419200 114961925 115210940 122743963 123032320 123805150 124073320 124954700 128757356 134566600 139949264 141491600 141798080 144013675 147151264 148744960 153790400 155091650 158470592 159942016 160946695 161295316 161324800 172245248 174936580 177247600 181109248 183939080 184337504 185931200 198088240 198517312 199927520 201619145 202092800 212492800 215306560 218670725 226386560 226876928 229923850 230421880 245487926 246064640 247610300 248146640 249909400 257514712 269133200 279898528 282983200 283596160 288027350 294302528 297489920 307580800 310183300 316941184 319884032 321893390 322590632 322649600 344490496 349873160 354495200 367878160 368675008 371862400 396176480 397034624 399855040 403238290 404185600 430613120 437341450 452773120 459847700 460843760 490975852 495220600 496293280 499818800 515029424 538266400 559797056 565966400 567192320 576054700 588605056 613719815 615161600 620366600 633882368 639768064 643786780 645181264 699746320 708990400 735756320 737350016 743724800 792352960 794069248 799710080 804733475 806476580 859207741 861226240 874682900 905546240 919695400 921687520 981951704 990441200 992586560 999637600 1008095725 1030058848 1076532800 1119594112 1131932800 1134384640 1152109400 1177210112 1227439630 1230323200 1240733200 1267764736 1287573560 1290362528 1399492640 1417980800 1471512640 1474700032 1487449600 1584705920 1588138496 1595671519 1599420160 1609466950 1612953160 1718415482 1722452480 1749365800 1839390800 1843375040 1963903408 1980882400 1985173120 1999275200 2016191450 2060117696 2153065600 2239188224 2263865600 2304218800 2354420224 2454879260 2481466400 2575147120 2580725056 2798985280 2835961600 2943025280 2949400064 3068599075 3169411840 3191343038 3198840320 3218933900 3225906320 3436830964 3498731600 3678781600 3686750080 3927806816 3961764800 3970346240 3998550400 4032382900 4120235392 4296038705 4306131200 4478376448 4527731200 4608437600 4909758520 4962932800 5150294240 5161450112 5597970560 5671923200 5886050560 6137198150 6338823680 6382686076 6437867800 6451812640 6873661928 6997463200 7357563200 7373500160 7855613632 7923529600 7940692480 7978357595 7997100800 8064765800 8240470784 8592077410 8612262400 9216875200 9819517040 9925865600 10300588480 10322900224 11169700633 11195941120 11772101120 12274396300 12765372152 12875735600 12903625280 13747323856 13994926400 14715126400 14747000320 15711227264 15847059200 15956715190 15994201600 16129531600 16480941568 17184154820 18433750400 19639034080 19851731200 20601176960 20645800448 21480193525 22339401266 22391882240 24548792600 25530744304 25751471200 25807250560 27494647712 27989852800 29430252800 31422454528 31694118400 31913430380 32259063200 34368309640 36867500800 39278068160 39703462400 39891787975 41202353920 42960387050 44678802532 49097585200 51061488608 51502942400 51614501120 54989295424 55848503165 55979705600 58860505600 62844909056 63826860760 64518126400 68736619280 73735001600 78556136320 79783575950 82404707840 85920774100 89357605064 98195170400 102122977216 103005884800 103229002240 109978590848 111697006330 111959411200 127653721520 129036252800 137473238560 157112272640 159567151900 171841548200 178715210128 196390340800 204245954432 206011769600 219957181696 223394012660 255307443040 258072505600 274946477120 279242515825 314224545280 319134303800 343683096400 357430420256 392780681600 408491908864 412023539200 439914363392 446788025320 510614886080 516145011200 549892954240 558485031650 638268607600 687366192800 714860840512 785561363200 816983817728 893576050640 1021229772160 1099785908480 1116970063300 1276537215200 1374732385600 1429721681024 1571122726400 1787152101280 2042459544320 2199571816960 2233940126600 2553074430400 2749464771200 2859443362048 3574304202560 4084919088640 4467880253200 5106148860800 5498929542400 5718886724096 7148608405120 8935760506400 10212297721600 10997859084800 14297216810240 17871521012800 20424595443200 28594433620480 35743042025600 71486084051200 142972168102400
- Sum of all divisors σ(n): 439147327272192
- Sum of proper divisors (its aliquot sum) s(n): 296175159169792
- 142972168102400 is an abundant number, because the sum of its proper divisors (296175159169792) is greater than itself. Its abundance is 153202991067392
Bases of 142972168102400
- Binary: 1000001000001000010011010100101011100010000000002
- Hexadecimal: 0x82084D4AE200
- Base-36: 1EOGI9GF7K
Squares and roots of 142972168102400
- 142972168102400 squared (1429721681024002) is 20441040851900924016885760000
- 142972168102400 cubed (1429721681024003) is 2922499928866004611132080334856781824000000
-
The
square root of 142972168102400 is 11957096.9763734877 -
The
cube root of 142972168102400 is 52289.8225113915
Scales and comparisons
How big is 142972168102400?- 142,972,168,102,400 seconds is equal to 4,546,072 years, 36 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 142,972,168,102,400 would take you about eleven million, three hundred sixty-five thousand, one hundred eighty-one 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 142972168102400 cubic inches would be around 4357.5 feet tall.
Recreational maths with 142972168102400
- 142972168102400 backwards is 004201861279241
- The number of decimal digits it has is: 15
- The sum of 142972168102400's digits is 47
- More coming soon!
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The information we have on file for 142972168102400 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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