14135984128000
14,135,984,128,000 is an even composite number composed of five prime numbers multiplied together.
14135984128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 14135984128000:
220 × 53 × 72 × 31 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 31 × 71)See below for interesting mathematical facts about the number 14135984128000 from the Numbermatics database.
Names of 14135984128000
- Cardinal: 14135984128000 can be written as Fourteen trillion, one hundred thirty-five billion, nine hundred eighty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.4135984128 × 1013
Factors of 14135984128000
Divisors of 14135984128000
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 71 80 98 100 112 124 125 128 140 142 155 160 175 196 200 217 224 245 248 250 256 280 284 310 320 350 355 392 400 434 448 490 496 497 500 512 560 568 620 640 700 710 775 784 800 868 875 896 980 992 994 1000 1024 1085 1120 1136 1225 1240 1280 1400 1420 1519 1550 1568 1600 1736 1750 1775 1792 1960 1984 1988 2000 2048 2170 2201 2240 2272 2450 2480 2485 2560 2800 2840 3038 3100 3136 3200 3472 3479 3500 3550 3584 3875 3920 3968 3976 4000 4096 4340 4402 4480 4544 4900 4960 4970 5120 5425 5600 5680 6076 6125 6200 6272 6400 6944 6958 7000 7100 7168 7595 7750 7840 7936 7952 8000 8192 8680 8804 8875 8960 9088 9800 9920 9940 10240 10850 11005 11200 11360 12152 12250 12400 12425 12544 12800 13888 13916 14000 14200 14336 15190 15407 15500 15680 15872 15904 16000 16384 17360 17395 17608 17750 17920 18176 19600 19840 19880 20480 21700 22010 22400 22720 24304 24500 24800 24850 25088 25600 27125 27776 27832 28000 28400 28672 30380 30814 31000 31360 31744 31808 32000 32768 34720 34790 35216 35500 35840 36352 37975 39200 39680 39760 40960 43400 44020 44800 45440 48608 49000 49600 49700 50176 51200 54250 55025 55552 55664 56000 56800 57344 60760 61628 62000 62125 62720 63488 63616 64000 65536 69440 69580 70432 71000 71680 72704 75950 77035 78400 79360 79520 81920 86800 86975 88040 89600 90880 97216 98000 99200 99400 100352 102400 107849 108500 110050 111104 111328 112000 113600 114688 121520 123256 124000 124250 125440 126976 127232 128000 131072 138880 139160 140864 142000 143360 145408 151900 154070 156800 158720 159040 163840 173600 173950 176080 179200 181760 189875 194432 196000 198400 198800 200704 204800 215698 217000 220100 222208 222656 224000 227200 229376 243040 246512 248000 248500 250880 253952 254464 256000 262144 275125 277760 278320 281728 284000 286720 290816 303800 308140 313600 317440 318080 327680 347200 347900 352160 358400 363520 379750 385175 388864 392000 396800 397600 401408 409600 431396 434000 434875 440200 444416 445312 448000 454400 458752 486080 493024 496000 497000 501760 507904 508928 512000 524288 539245 550250 555520 556640 563456 568000 573440 581632 607600 616280 627200 634880 636160 655360 694400 695800 704320 716800 727040 759500 770350 777728 784000 793600 795200 802816 819200 862792 868000 869750 880400 888832 890624 896000 908800 917504 972160 986048 992000 994000 1003520 1015808 1017856 1024000 1048576 1078490 1100500 1111040 1113280 1126912 1136000 1146880 1163264 1215200 1232560 1254400 1269760 1272320 1310720 1388800 1391600 1408640 1433600 1454080 1519000 1540700 1555456 1568000 1587200 1590400 1605632 1638400 1725584 1736000 1739500 1760800 1777664 1781248 1792000 1817600 1835008 1925875 1944320 1972096 1984000 1988000 2007040 2031616 2035712 2048000 2156980 2201000 2222080 2226560 2253824 2272000 2293760 2326528 2430400 2465120 2508800 2539520 2544640 2621440 2696225 2777600 2783200 2817280 2867200 2908160 3038000 3081400 3110912 3136000 3174400 3180800 3211264 3276800 3451168 3472000 3479000 3521600 3555328 3562496 3584000 3635200 3670016 3851750 3888640 3944192 3968000 3976000 4014080 4063232 4071424 4096000 4313960 4402000 4444160 4453120 4507648 4544000 4587520 4653056 4860800 4930240 5017600 5079040 5089280 5242880 5392450 5555200 5566400 5634560 5734400 5816320 6076000 6162800 6221824 6272000 6348800 6361600 6422528 6553600 6902336 6944000 6958000 7043200 7110656 7124992 7168000 7270400 7340032 7703500 7777280 7888384 7936000 7952000 8028160 8126464 8142848 8192000 8627920 8804000 8888320 8906240 9015296 9088000 9175040 9306112 9721600 9860480 10035200 10158080 10178560 10784900 11110400 11132800 11269120 11468800 11632640 12152000 12325600 12443648 12544000 12697600 12723200 12845056 13107200 13481125 13804672 13888000 13916000 14086400 14221312 14249984 14336000 14540800 15407000 15554560 15776768 15872000 15904000 16056320 16252928 16285696 16384000 17255840 17608000 17776640 17812480 18030592 18176000 18350080 18612224 19443200 19720960 20070400 20316160 20357120 21569800 22220800 22265600 22538240 22937600 23265280 24304000 24651200 24887296 25088000 25395200 25446400 25690112 26214400 26962250 27609344 27776000 27832000 28172800 28442624 28499968 28672000 29081600 30814000 31109120 31553536 31744000 31808000 32112640 32505856 32571392 32768000 34511680 35216000 35553280 35624960 36061184 36352000 36700160 37224448 38886400 39441920 40140800 40632320 40714240 43139600 44441600 44531200 45076480 45875200 46530560 48608000 49302400 49774592 50176000 50790400 50892800 51380224 53924500 55218688 55552000 55664000 56345600 56885248 56999936 57344000 58163200 61628000 62218240 63107072 63488000 63616000 64225280 65142784 65536000 69023360 70432000 71106560 71249920 72122368 72704000 74448896 77772800 78883840 80281600 81264640 81428480 86279200 88883200 89062400 90152960 91750400 93061120 97216000 98604800 99549184 100352000 101580800 101785600 107849000 110437376 111104000 111328000 112691200 113770496 113999872 114688000 116326400 123256000 124436480 126214144 126976000 127232000 128450560 130285568 131072000 138046720 140864000 142213120 142499840 144244736 145408000 155545600 157767680 160563200 162529280 162856960 172558400 177766400 178124800 180305920 183500800 186122240 194432000 197209600 199098368 200704000 203161600 203571200 215698000 220874752 222208000 222656000 225382400 227540992 227999744 229376000 232652800 246512000 248872960 252428288 253952000 254464000 256901120 260571136 276093440 281728000 284426240 284999680 288489472 290816000 311091200 315535360 321126400 325713920 345116800 355532800 356249600 360611840 372244480 388864000 394419200 398196736 401408000 406323200 407142400 431396000 441749504 444416000 445312000 450764800 455999488 458752000 465305600 493024000 497745920 504856576 507904000 508928000 521142272 552186880 563456000 568852480 569999360 576978944 581632000 622182400 631070720 642252800 651427840 690233600 711065600 712499200 721223680 777728000 788838400 796393472 802816000 812646400 814284800 862792000 883499008 888832000 890624000 901529600 911998976 917504000 930611200 986048000 995491840 1009713152 1015808000 1017856000 1104373760 1126912000 1137704960 1139998720 1153957888 1163264000 1244364800 1262141440 1284505600 1302855680 1380467200 1422131200 1424998400 1442447360 1555456000 1577676800 1592786944 1605632000 1628569600 1725584000 1766998016 1777664000 1781248000 1803059200 1823997952 1861222400 1972096000 1990983680 2019426304 2031616000 2035712000 2208747520 2253824000 2279997440 2307915776 2326528000 2488729600 2524282880 2605711360 2760934400 2844262400 2849996800 2884894720 3110912000 3155353600 3211264000 3257139200 3451168000 3533996032 3555328000 3562496000 3606118400 3647995904 3944192000 3981967360 4038852608 4063232000 4071424000 4417495040 4507648000 4559994880 4653056000 4977459200 5048565760 5521868800 5688524800 5699993600 5769789440 6221824000 6310707200 6422528000 6514278400 6902336000 7067992064 7110656000 7124992000 7212236800 7888384000 7963934720 8077705216 8142848000 8834990080 9015296000 9119989760 9306112000 9954918400 10097131520 11043737600 11399987200 11539578880 12443648000 12621414400 13028556800 13804672000 14135984128 14221312000 14249984000 14424473600 15776768000 16155410432 16285696000 17669980160 18030592000 18239979520 19909836800 20194263040 22087475200 22799974400 24887296000 25242828800 27609344000 28271968256 28442624000 28499968000 28848947200 31553536000 32571392000 35339960320 36061184000 39819673600 40388526080 44174950400 45599948800 49774592000 50485657600 55218688000 56543936512 56999936000 57697894400 63107072000 65142784000 70679920640 72122368000 80777052160 88349900800 91199897600 99549184000 100971315200 110437376000 113087873024 113999872000 126214144000 141359841280 144244736000 176699801600 199098368000 201942630400 220874752000 227999744000 252428288000 282719682560 288489472000 353399603200 403885260800 441749504000 455999488000 504856576000 565439365120 706799206400 883499008000 1009713152000 1413598412800 1766998016000 2019426304000 2827196825600 3533996032000 7067992064000 14135984128000
- Sum of all divisors σ(n): 42964684858368
- Sum of proper divisors (its aliquot sum) s(n): 28828700730368
- 14135984128000 is an abundant number, because the sum of its proper divisors (28828700730368) is greater than itself. Its abundance is 14692716602368
Bases of 14135984128000
- Binary: 110011011011010010100101000000000000000000002
- Hexadecimal: 0xCDB4A500000
- Base-36: 50DZBYWHS
Squares and roots of 14135984128000
- 14135984128000 squared (141359841280002) is 199826047267067920384000000
- 14135984128000 cubed (141359841280003) is 2824737832528249899646191665152000000000
-
The
square root of 14135984128000 is 3759785.1172640173 -
The
cube root of 14135984128000 is 24179.2049394649
Scales and comparisons
How big is 14135984128000?- 14,135,984,128,000 seconds is equal to 449,480 years, 29 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 14,135,984,128,000 would take you about one million, one hundred twenty-three thousand, seven hundred 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 14135984128000 cubic inches would be around 2014.9 feet tall.
Recreational maths with 14135984128000
- 14135984128000 backwards is 00082148953141
- The number of decimal digits it has is: 14
- The sum of 14135984128000's digits is 46
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 14135984128000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 14135984128000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/14135984128000/
Chicago style:
Numbermatics. 2024. "Number 14135984128000 - Facts about the integer". https://numbermatics.com/n/14135984128000/
The information we have on file for 14135984128000 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!
Keywords: Divisors of 14135984128000, math, Factors of 14135984128000, curriculum, school, college, exams, university, Prime factorization of 14135984128000, STEM, science, technology, engineering, physics, economics, calculator, fourteen trillion, one hundred thirty-five billion, nine hundred eighty-four million, one hundred twenty-eight thousand.