137228144416000
137,228,144,416,000 is an even composite number composed of six prime numbers multiplied together.
137228144416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137228144416000:
28 × 53 × 113 × 31 × 37 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 31 × 37 × 53 × 53)See below for interesting mathematical facts about the number 137228144416000 from the Numbermatics database.
Names of 137228144416000
- Cardinal: 137228144416000 can be written as One hundred thirty-seven trillion, two hundred twenty-eight billion, one hundred forty-four million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.37228144416 × 1014
Factors of 137228144416000
Divisors of 137228144416000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 37 40 44 50 53 55 62 64 74 80 88 100 106 110 121 124 125 128 148 155 160 176 185 200 212 220 242 248 250 256 265 275 296 310 320 341 352 370 400 407 424 440 484 496 500 530 550 583 592 605 620 640 682 704 740 775 800 814 848 880 925 968 992 1000 1060 1100 1147 1166 1184 1210 1240 1280 1325 1331 1364 1375 1408 1480 1550 1600 1628 1643 1696 1705 1760 1850 1936 1961 1984 2000 2035 2120 2200 2294 2332 2368 2420 2480 2650 2662 2728 2750 2809 2816 2915 2960 3025 3100 3200 3256 3286 3392 3410 3520 3700 3751 3872 3875 3922 3968 4000 4070 4240 4400 4477 4588 4625 4664 4736 4840 4960 5300 5324 5456 5500 5618 5735 5830 5920 6050 6200 6400 6413 6512 6572 6625 6655 6784 6820 7040 7400 7502 7744 7750 7844 7936 8000 8140 8215 8480 8525 8800 8954 9176 9250 9328 9472 9680 9805 9920 10175 10600 10648 10912 11000 11236 11470 11660 11840 12100 12400 12617 12826 13024 13144 13250 13310 13568 13640 14045 14080 14575 14800 15004 15125 15488 15500 15688 16000 16280 16430 16960 17050 17600 17908 18073 18352 18500 18656 18755 19360 19610 19840 20350 21200 21296 21571 21824 22000 22385 22472 22940 23320 23680 24200 24800 25234 25652 26048 26288 26500 26620 27280 28090 28675 29150 29600 30008 30250 30899 30976 31000 31376 32000 32065 32560 32860 33275 33920 34100 35200 35816 36146 36704 37000 37312 37510 38720 39220 39680 40700 41075 41261 42400 42592 42625 43142 43648 44000 44770 44944 45880 46640 47360 48400 49025 49247 49600 50468 50875 51304 52096 52576 53000 53240 54560 56180 57350 58300 59200 60016 60500 60791 61798 62000 62752 63085 64130 65120 65720 66550 67840 68200 70225 70400 70543 71632 72292 72875 73408 74000 74624 75020 77440 78440 81400 82150 82522 84800 85184 85250 86284 87079 87296 88000 89540 89888 90365 91760 93280 93775 96800 98050 98494 99200 100936 101750 102608 103933 104192 105152 106000 106480 107855 109120 111925 112360 114700 116600 118400 120032 121000 121582 123596 124000 125504 126170 128260 130240 131440 133100 136400 138787 140450 141086 143264 143375 144584 145750 146816 148000 149248 150040 154495 154880 156880 160325 162800 164300 165044 166375 169600 170368 170500 172568 174158 176000 179080 179776 180730 183520 186560 187550 193600 196100 196988 198400 198803 201872 203500 205216 205375 206305 207866 210304 212000 212960 215710 218240 223850 224720 229400 233200 236800 237281 240064 242000 243164 245125 246235 247192 248000 251008 252340 256520 260480 262880 266200 272800 277574 280900 282172 286528 286750 289168 291500 293632 296000 300080 303955 308990 313760 315425 320650 325600 328600 330088 332750 339200 339889 340736 341000 345136 348316 351125 352000 352715 358160 359552 361460 367040 373120 375100 387200 392200 393976 397606 403744 407000 410432 410750 412610 415732 420608 424000 425920 431420 435395 436480 447700 449440 451825 458800 466400 468875 474562 480128 484000 486328 490250 492470 494384 496000 502016 504680 513040 519665 520960 525760 532400 539275 545600 555148 559625 561800 564344 573056 573500 578336 583000 592000 600160 607910 617980 627520 630850 641300 651200 657200 660176 665500 668701 679778 682000 690272 693935 696632 702250 705430 716320 719104 722920 734080 746240 750200 772475 774400 784400 787952 795212 801625 807488 814000 820864 821500 825220 831464 848000 851840 862840 870790 895400 898880 903650 917600 932800 937750 949124 957869 960256 968000 972656 980500 984940 988768 992000 994015 1009360 1026080 1031525 1039330 1051520 1064800 1078550 1091200 1110296 1119250 1123600 1128688 1143263 1146112 1147000 1156672 1166000 1184000 1186405 1200320 1215820 1231175 1235960 1255040 1261700 1282600 1302400 1314400 1320352 1331000 1337402 1359556 1364000 1380544 1387870 1393264 1404500 1410860 1432640 1445840 1468160 1500400 1519775 1526657 1544950 1568800 1575904 1577125 1590424 1603250 1614976 1628000 1641728 1643000 1650440 1662928 1696000 1699445 1703680 1725680 1741580 1763575 1790800 1797760 1807300 1835200 1865600 1875500 1898248 1915738 1936000 1945312 1961000 1969880 1977536 1988030 2018720 2052160 2063050 2078660 2103040 2129600 2157100 2176975 2182400 2186833 2220592 2238500 2247200 2257376 2259125 2286526 2294000 2313344 2332000 2372810 2400640 2431640 2462350 2471920 2510080 2523400 2565200 2598325 2604800 2610091 2628800 2640704 2662000 2674804 2696375 2719112 2728000 2761088 2775740 2786528 2809000 2821720 2865280 2891680 3000800 3039550 3053314 3089900 3137600 3151808 3154250 3180848 3206500 3221923 3229952 3256000 3286000 3300880 3325856 3343505 3398890 3451360 3469675 3483160 3527150 3581600 3595520 3614600 3670400 3731200 3738779 3751000 3796496 3831476 3862375 3872000 3890624 3922000 3939760 3955072 3976060 4037440 4104320 4126100 4157320 4259200 4314200 4353950 4373666 4441184 4477000 4494400 4514752 4518250 4573052 4588000 4626688 4664000 4745620 4789345 4801280 4863280 4924700 4943840 4970075 5046800 5130400 5157625 5196650 5220182 5257600 5281408 5324000 5349608 5392750 5438224 5456000 5522176 5551480 5573056 5618000 5643440 5716315 5730560 5783360 5932025 6001600 6079100 6106628 6155875 6179800 6275200 6303616 6308500 6361696 6413000 6443846 6512000 6572000 6601760 6651712 6687010 6797780 6902720 6939350 6966320 7054300 7163200 7229200 7340800 7355711 7477558 7502000 7592992 7598875 7633285 7662952 7724750 7781248 7844000 7879520 7910144 7952120 8074880 8208640 8252200 8314640 8497225 8518400 8628400 8707900 8747332 8817875 8882368 8954000 8988800 9029504 9036500 9146104 9176000 9328000 9491240 9578690 9726560 9849400 9887680 9940150 10093600 10260800 10315250 10393300 10440364 10515200 10536559 10562816 10648000 10699216 10785500 10876448 10884875 10912000 10934165 11102960 11146112 11236000 11286880 11432630 11566720 11864050 12003200 12158200 12213256 12311750 12359600 12550400 12575893 12607232 12617000 12723392 12826000 12887692 12991625 13024000 13050455 13144000 13203520 13303424 13374020 13595560 13805440 13878700 13932640 14108600 14326400 14458400 14711422 14955116 15004000 15185984 15197750 15266570 15325904 15449500 15562496 15688000 15759040 15904240 16109615 16149760 16504400 16629280 16717525 16994450 17256800 17348375 17415800 17494664 17635750 17764736 17908000 17977600 18059008 18073000 18292208 18352000 18656000 18693895 18982480 19157380 19453120 19698800 19775360 19880300 20187200 20521600 20630500 20786600 20880728 21073118 21296000 21398432 21571000 21752896 21769750 21868330 22205920 22292224 22472000 22573760 22865260 23133440 23728100 23946725 24006400 24316400 24426512 24623500 24719200 24850375 25151786 25234000 25446784 25652000 25775384 25983250 26100910 26288000 26407040 26606848 26748040 27191120 27610880 27757400 27865280 28217200 28581575 28652800 28916800 29422844 29660125 29910232 30008000 30371968 30395500 30533140 30651808 30899000 31376000 31518080 31808480 32219230 33008800 33258560 33435050 33988900 34513600 34696750 34831600 34989328 35271500 35441153 35529472 35816000 36146000 36584416 36704000 36778555 37387790 37964960 38166425 38314760 38906240 39397600 39550720 39760600 40374400 41043200 41261000 41573200 41761456 42146236 42486125 42592000 42796864 43142000 43505792 43539500 43736660 44411840 44944000 45147520 45730520 47456200 47893450 48632800 48853024 49247000 49438400 49700750 50303572 50468000 50893568 51304000 51550768 51966500 52201820 52576000 52682795 52814080 53496080 54382240 54670825 55514800 55730560 56434400 57163150 57833600 58845688 59320250 59820464 60016000 60743936 60791000 61066280 61303616 61798000 62752000 62879465 63036160 63616960 64438460 65252275 66017600 66517120 66870100 67977800 69027200 69393500 69663200 69978656 70543000 70882306 71632000 72292000 73168832 73557110 74775580 75929920 76332850 76629520 77812480 78795200 79521200 80548075 80748800 80912821 82522000 83146400 83522912 83587625 84292472 84972250 85593728 86284000 87011584 87079000 87473320 88823680 89888000 90295040 91461040 93469475 94912400 95786900 97265600 97706048 98494000 98876800 99401500 100607144 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261009100 263413975 264070400 267480400 271911200 273354125 276669646 277574000 278652800 279914624 282172000 283529224 285815750 289168000 292675328 294228440 299102320 303719680 305331400 306518080 314397325 315180800 318084800 322192300 323651284 326261375 330088000 332585600 334091648 334350500 337169888 339889000 345136000 348316000 349893280 354411530 365844160 367785550 373877900 379649600 381664250 383147600 389062400 389852683 390824192 393976000 397606000 402428576 402740375 403744000 404564105 412406144 415732000 417614560 421462360 427968640 435057920 437366600 444118400 451475200 457305200 463608596 467347375 470765504 474562000 478563712 478934500 486328000 488530240 494384000 503035720 515507680 522018200 526827950 534960800 543822400 546708250 553339292 555148000 557305600 559829248 564344000 567058448 571631500 578336000 579510745 588456880 598204640 610662800 613036160 628794650 636169600 644384600 647302568 652522750 660176000 665171200 668183296 668701000 674339776 679778000 690272000 691674115 696632000 699786560 708823060 731688320 735571100 747755800 759299200 763328500 766295200 779705366 787952000 795212000 804857152 805480750 809128210 824812288 831464000 835229120 842924720 855937280 874733200 886028825 888236800 914610400 919463875 927217192 934694750 941531008 949124000 957127424 957869000 972656000 977060480 988768000 1006071440 1031015360 1044036400 1053655900 1069921600 1087644800 1093416500 1106678584 1110296000 1128688000 1134116896 1143263000 1159021490 1176913760 1196409280 1221325600 1226072320 1257589300 1272339200 1288769200 1294605136 1305045500 1317069875 1320352000 1337402000 1348679552 1359556000 1383348230 1393264000 1399573120 1417646120 1463376640 1471142200 1495511600 1518598400 1526657000 1532590400 1559410732 1571986625 1575904000 1590424000 1609714304 1610961500 1618256420 1662928000 1670458240 1685849440 1749466400 1772057650 1829220800 1838927750 1854434384 1869389500 1883062016 1898248000 1915738000 1945312000 1949263415 1954120960 2012142880 2022820525 2062030720 2088072800 2107311800 2139843200 2175289600 2186833000 2213357168 2220592000 2257376000 2268233792 2286526000 2318042980 2353827520 2392818560 2442651200 2515178600 2577538400 2589210272 2610091000 2634139750 2674804000 2697359104 2719112000 2766696460 2786528000 2799146240 2835292240 2897553725 2942284400 2991023200 3053314000 3065180800 3118821464 3143973250 3180848000 3219428608 3221923000 3236512840 3325856000 3340916480 3371698880 3458370575 3498932800 3544115300 3658441600 3677855500 3708868768 3738779000 3796496000 3831476000 3898526830 4024285760 4045641050 4124061440 4176145600 4214623600 4279686400 4288379513 4373666000 4426714336 4430144125 4441184000 4536467584 4573052000 4636085960 4707655040 4785637120 4885302400 5030357200 5155076800 5178420544 5220182000 5268279500 5349608000 5438224000 5533392920 5670584480 5795107450 5884568800 5982046400 6106628000 6130361600 6237642928 6287946500 6361696000 6443846000 6473025680 6743397760 6916741150 6997865600 7088230600 7316883200 7355711000 7417737536 7477558000 7592992000 7662952000 7797053660 8048571520 8091282100 8352291200 8429247200 8576759026 8747332000 8853428672 8860288250 9072935168 9146104000 9272171920 9415310080 9746317075 9770604800 10060714400 10114102625 10310153600 10356841088 10440364000 10536559000 10699216000 10876448000 11066785840 11341168960 11590214900 11769137600 11964092800 12213256000 12475285856 12575893000 12887692000 12946051360 13486795520 13833482300 13995731200 14176461200 14487768625 14711422000 14835475072 14955116000 15325904000 15594107320 16097143040 16182564200 16704582400 16858494400 17153518052 17291852875 17494664000 17706857344 17720576500 18292208000 18544343840 19492634150 20121428800 20228205250 20620307200 20713682176 20880728000 21073118000 21398432000 21441897565 22133571680 22682337920 23180429800 23538275200 23928185600 24426512000 24950571712 25151786000 25775384000 25892102720 27666964600 28352922400 28975537250 29422844000 29670950144 29910232000 30651808000 31188214640 32365128400 33716988800 34307036104 34583705750 34989328000 35413714688 35441153000 36584416000 37088687680 38985268300 40242857600 40456410500 41761456000 42146236000 42883795130 44267143360 45364675840 46360859600 47076550400 48731585375 48853024000 49901143424 50303572000 51550768000 51784205440 55333929200 56705844800 57951074500 58845688000 59820464000 62376429280 64730256800 67433977600 68614072208 69167411500 69978656000 70882306000 74177375360 77970536600 80485715200 80912821000 83522912000 84292472000 85767590260 88534286720 92721719200 97463170750 99802286848 100607144000 103101536000 103568410880 107209487825 110667858400 113411689600 115902149000 117691376000 119640928000 124752858560 129460513600 137228144416 138334823000 141764612000 148354750720 155941073200 161825642000 168584944000 171535180520 177068573440 185443438400 194926341500 201214288000 214418975650 221335716800 226823379200 231804298000 235382752000 249505717120 258921027200 274456288832 276669646000 283529224000 311882146400 323651284000 337169888000 343070361040 370886876800 389852683000 402428576000 428837951300 442671433600 463608596000 499011434240 517842054400 536047439125 548912577664 553339292000 567058448000 623764292800 647302568000 686140722080 741773753600 779705366000 857675902600 885342867200 927217192000 1072094878250 1097825155328 1106678584000 1134116896000 1247528585600 1294605136000 1372281444160 1559410732000 1715351805200 1854434384000 2144189756500 2213357168000 2495057171200 2589210272000 2744562888320 3118821464000 3430703610400 3708868768000 4288379513000 4426714336000 5489125776640 6237642928000 6861407220800 8576759026000 12475285856000 13722814441600 17153518052000 27445628883200 34307036104000 68614072208000 137228144416000
- Sum of all divisors σ(n): 406295019067392
- Sum of proper divisors (its aliquot sum) s(n): 269066874651392
- 137228144416000 is an abundant number, because the sum of its proper divisors (269066874651392) is greater than itself. Its abundance is 131838730235392
Bases of 137228144416000
- Binary: 111110011001110111010101100110100010101000000002
- Hexadecimal: 0x7CCEEACD1500
- Base-36: 1CN5QM258G
Squares and roots of 137228144416000
- 137228144416000 squared (1372281444160002) is 18831563619858551981056000000
- 137228144416000 cubed (1372281444160003) is 2584220532005041096748995664183296000000000
-
The
square root of 137228144416000 is 11714441.7031286643 -
The
cube root of 137228144416000 is 51579.9674376351
Scales and comparisons
How big is 137228144416000?- 137,228,144,416,000 seconds is equal to 4,363,430 years, 26 weeks, 6 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 137,228,144,416,000 would take you about ten million, nine hundred eight thousand, five hundred seventy-six 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 137228144416000 cubic inches would be around 4298.3 feet tall.
Recreational maths with 137228144416000
- 137228144416000 backwards is 000614441822731
- The number of decimal digits it has is: 15
- The sum of 137228144416000's digits is 43
- More coming soon!
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"Number 137228144416000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 September 2024.
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Numbermatics. (2024). Number 137228144416000 - Facts about the integer. Retrieved 28 September 2024, from https://numbermatics.com/n/137228144416000/
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The information we have on file for 137228144416000 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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