5005136448000
5,005,136,448,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 5005136448000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
5005136448000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 5005136448000:
29 × 34 × 53 × 132 × 29 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 29 × 197)See below for interesting mathematical facts about the number 5005136448000 from the Numbermatics database.
Names of 5005136448000
- Cardinal: 5005136448000 can be written as Five trillion, five billion, one hundred thirty-six million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 5.005136448 × 1012
Factors of 5005136448000
Divisors of 5005136448000
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 125 128 130 135 144 145 150 156 160 162 169 174 180 192 195 197 200 208 216 225 232 234 240 250 256 260 261 270 288 290 300 312 320 324 325 338 348 351 360 375 377 384 390 394 400 405 416 432 435 450 464 468 480 500 507 512 520 522 540 576 580 585 591 600 624 640 648 650 675 676 696 702 720 725 750 754 768 780 783 788 800 810 832 845 864 870 900 928 936 960 975 985 1000 1014 1040 1044 1053 1080 1125 1131 1152 1160 1170 1182 1200 1248 1280 1296 1300 1305 1350 1352 1392 1404 1440 1450 1500 1508 1521 1536 1560 1566 1576 1600 1620 1625 1664 1690 1728 1740 1755 1773 1800 1856 1872 1885 1920 1950 1970 2000 2025 2028 2080 2088 2106 2160 2175 2250 2262 2304 2320 2340 2349 2364 2400 2496 2535 2560 2561 2592 2600 2610 2700 2704 2784 2808 2880 2900 2925 2955 3000 3016 3042 3120 3132 3152 3200 3240 3250 3328 3375 3380 3393 3456 3480 3510 3546 3600 3625 3712 3744 3770 3840 3900 3915 3940 4000 4050 4056 4160 4176 4212 4225 4320 4350 4500 4524 4563 4608 4640 4680 4698 4728 4800 4875 4901 4925 4992 5070 5122 5184 5200 5220 5265 5319 5400 5408 5568 5616 5655 5713 5760 5800 5850 5910 6000 6032 6084 6240 6264 6304 6400 6480 6500 6525 6656 6750 6760 6786 6912 6960 7020 7092 7200 7250 7424 7488 7540 7605 7680 7683 7800 7830 7880 8000 8100 8112 8320 8352 8424 8450 8640 8700 8775 8865 9000 9048 9126 9280 9360 9396 9425 9456 9600 9750 9802 9850 9984 10125 10140 10179 10244 10368 10400 10440 10530 10638 10800 10816 10875 11136 11232 11310 11426 11520 11600 11700 11745 11820 12000 12064 12168 12480 12528 12608 12675 12800 12805 12960 13000 13050 13500 13520 13572 13689 13824 13920 14040 14184 14400 14500 14625 14703 14775 14848 14976 15080 15210 15366 15600 15660 15760 15957 16000 16200 16224 16640 16704 16848 16900 16965 17139 17280 17400 17550 17730 18000 18096 18252 18560 18720 18792 18850 18912 19200 19500 19575 19604 19700 19968 20250 20280 20358 20488 20736 20800 20880 21060 21125 21276 21600 21632 21750 22272 22464 22620 22815 22852 23040 23049 23200 23400 23490 23640 24000 24128 24336 24505 24625 24960 25056 25216 25350 25610 25920 26000 26100 26325 26595 27000 27040 27144 27378 27840 28080 28275 28368 28565 28800 29000 29250 29406 29550 29952 30160 30420 30537 30732 31200 31320 31520 31914 32000 32400 32448 32625 33280 33293 33408 33696 33800 33930 34278 34560 34800 35100 35460 36000 36192 36504 37120 37440 37584 37700 37824 38025 38400 38415 39000 39150 39208 39400 40500 40560 40716 40976 41472 41600 41760 42120 42250 42552 43200 43264 43500 43875 44109 44325 44544 44928 45240 45630 45704 46098 46400 46800 46980 47125 47280 48000 48256 48672 49010 49250 49920 50112 50432 50700 50895 51220 51417 51840 52000 52200 52650 53190 54000 54080 54288 54756 55680 56160 56550 56736 57130 57600 58000 58500 58725 58812 59100 59904 60320 60840 61074 61464 62400 62640 63040 63375 63828 64000 64025 64800 64896 65250 66586 66816 67392 67600 67860 68445 68556 69120 69147 69600 70200 70920 72000 72384 73008 73515 73875 74240 74269 74880 75168 75400 75648 76050 76830 78000 78300 78416 78800 79785 81000 81120 81432 81952 83200 83520 84240 84500 84825 85104 85695 86400 86528 87000 87750 88218 88650 89856 90480 91260 91408 92196 92800 93600 93960 94250 94560 96000 96512 97344 97875 98020 98500 99840 99879 100224 100864 101400 101790 102440 102834 103680 104000 104400 105300 106380 108000 108160 108576 109512 111360 112320 113100 113472 114075 114260 115200 115245 116000 117000 117450 117624 118200 120640 121680 122148 122525 122928 124800 125280 126080 126750 127656 128050 129600 129792 130500 131625 132327 132975 133172 133632 134784 135200 135720 136890 137112 138294 139200 140400 141375 141840 142825 144000 144768 146016 147030 147750 148538 149760 150336 150800 151296 152100 152685 153660 154251 156000 156600 156832 157600 159570 162000 162240 162864 163904 166400 166465 167040 168480 169000 169650 170208 171390 172800 174000 175500 176436 177300 179712 180960 182520 182816 184392 185600 187200 187920 188500 189120 190125 192000 192075 193024 194688 195750 196040 197000 199758 200448 202800 203580 204880 205668 207360 207441 208000 208800 210600 212760 216000 216320 217152 219024 220545 221625 222720 222807 224640 226200 226944 228150 228520 230490 232000 234000 234900 235248 236400 241280 243360 244296 245050 245856 249600 250560 252160 253500 254475 255312 256100 257085 259200 259584 261000 263250 264654 265950 266344 269568 270400 271440 273780 274224 276588 278400 280800 282750 283680 285650 288000 289536 292032 293625 294060 295500 297076 299520 299637 300672 301600 302592 304200 305370 307320 308502 312000 313200 313664 315200 319140 320125 324000 324480 325728 327808 332930 334080 336960 338000 339300 340416 342225 342780 345600 345735 348000 351000 352872 354600 361920 365040 365632 367575 368784 371200 371345 374400 375840 377000 378240 380250 384150 389376 391500 392080 394000 396981 398925 399516 400896 405600 407160 409760 411336 414882 416000 417600 421200 424125 425520 428475 432000 432640 434304 438048 441090 443250 445614 449280 452400 453888 456300 457040 460980 462753 464000 468000 469800 470496 472800 482560 486720 488592 490100 491712 499200 499395 501120 504320 507000 508950 510624 512200 514170 518400 522000 526500 529308 531900 532688 539136 540800 542880 547560 548448 553176 556800 561600 565500 567360 570375 571300 576000 576225 579072 584064 587250 588120 591000 594152 599274 601344 603200 608400 610740 612625 614640 617004 624000 626400 627328 630400 638280 640250 648000 648960 651456 655616 661635 664875 665860 668160 668421 673920 676000 678600 680832 684450 685560 691470 696000 702000 705744 709200 714125 723840 730080 731264 735150 737568 742690 748800 751680 754000 756480 760500 763425 768300 771255 778752 783000 784160 788000 793962 797850 799032 811200 814320 819520 822672 829764 832000 832325 835200 842400 848250 851040 856950 864000 868608 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6638112 6658600 6684210 6739200 6786000 6808320 6844500 6855600 6914700 7008768 7057440 7092000 7129824 7191288 7238400 7300800 7312640 7351500 7375680 7404048 7426900 7488000 7490925 7516800 7527936 7564800 7634250 7683000 7712550 7723976 7817472 7841600 7939620 7978500 7990320 8021052 8112000 8143200 8169984 8195200 8226720 8297640 8323250 8352000 8424000 8468928 8510400 8523008 8569500 8643375 8686080 8689473 8760960 8775168 8821800 8850816 8912280 8989110 9048000 9126000 9140800 9219600 9255060 9283625 9396000 9409920 9456000 9506432 9588384 9654970 9734400 9771840 9802000 9834240 9872064 9924525 9987900 10022400 10026315 10179000 10212480 10244000 10283400 10372050 10586160 10638000 10653760 10694736 10786932 10816000 10857600 10951200 10968960 11027250 11063520 11140350 11232000 11291904 11347200 11426000 11524500 11568825 11585964 11681280 11762400 11801088 11883040 11985480 12031578 12064000 12168000 12214800 12292800 12340080 12484875 12528000 12546560 12608000 12703392 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204249600 205668000 207441000 208547352 211723200 213075200 213894720 215738640 217152000 217236825 219024000 219379200 221270400 222807000 224727750 230121216 231376500 231719280 235248000 236929536 237660800 239709600 240631560 241374250 244296000 245856000 246801600 247167232 250657875 254067840 255312000 255690240 256673664 260684190 264654000 265524480 266344000 267368400 269673300 274224000 276588000 278063136 282297600 285192960 287651520 289649100 292032000 295027200 296161920 297076000 299637000 300789450 308502000 308959040 312821028 313664000 317584800 319612800 320842080 325728000 329068800 331905600 334210500 337091625 338757120 340416000 342231552 345181824 347578920 352872000 356491200 359564400 362061375 365632000 368784000 370202400 370750848 383535360 385010496 386198800 390873600 391026285 394882560 396981000 399516000 401052600 411336000 414882000 417094704 423446400 426150400 427789440 431477280 434473650 438048000 442540800 445614000 449455500 460242432 462753000 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3850104960 3861988000 3910262850 4010526000 4170947040 4234464000 4277894400 4314772800 4344736500 4425408000 4449010176 4634385600 4753216000 4794192000 4812631200 4936032000 5005136448 5081356800 5133473280 5213683800 5347368000 5393466000 5561262720 5753030400 5792982000 5923238400 6015789000 6179180800 6256420560 6351696000 6392256000 6416841600 6517104750 6638112000 6673515264 6903636480 6951578400 7129824000 7191288000 7404048000 7415016960 7700209920 7723976000 7820525700 8021052000 8341894080 8468928000 8555788800 8629545600 8689473000 9268771200 9588384000 9625262400 9775657125 9872064000 10010272896 10427367600 10694736000 10786932000 11122525440 11506060800 11585964000 12031578000 12358361600 12512841120 12703392000 12833683200 13034209500 13276224000 13347030528 13903156800 14259648000 14382576000 14808096000 15400419840 15447952000 15641051400 16042104000 16683788160 17259091200 17378946000 18537542400 19176768000 19250524800 19551314250 20020545792 20854735200 21389472000 21573864000 22245050880 23171928000 24063156000 25025682240 25406784000 25667366400 26068419000 27806313600 28765152000 29616192000 30895904000 31282102800 32084208000 33367576320 34518182400 34757892000 37075084800 38501049600 39102628500 40041091584 41709470400 42778944000 43147728000 46343856000 48126312000 50051364480 52136838000 55612627200 57530304000 61791808000 62564205600 64168416000 66735152640 69515784000 77002099200 78205257000 83418940800 86295456000 92687712000 96252624000 100102728960 104273676000 111225254400 125128411200 128336832000 139031568000 156410514000 166837881600 172590912000 185375424000 192505248000 200205457920 208547352000 250256822400 278063136000 312821028000 333675763200 385010496000 417094704000 500513644800 556126272000 625642056000 834189408000 1001027289600 1251284112000 1668378816000 2502568224000 5005136448000
- Sum of all divisors σ(n): 20990517078960
- Sum of proper divisors (its aliquot sum) s(n): 15985380630960
- 5005136448000 is an abundant number, because the sum of its proper divisors (15985380630960) is greater than itself. Its abundance is 10980244182960
Bases of 5005136448000
- Binary: 10010001101010110010110000101001010000000002
- Hexadecimal: 0x48D59614A00
- Base-36: 1RVBT0G00
Squares and roots of 5005136448000
- 5005136448000 squared (50051364480002) is 25051390863098056704000000
- 5005136448000 cubed (50051364480003) is 125385629481986261807161147392000000000
-
The
square root of 5005136448000 is 2237216.2273682891 -
The
cube root of 5005136448000 is 17105.6129311775
Scales and comparisons
How big is 5005136448000?- 5,005,136,448,000 seconds is equal to 159,147 years, 44 weeks, 4 days.
-
To count from 1 to 5,005,136,448,000 would take you about three hundred ninety-seven thousand, eight hundred sixty-nine 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 5005136448000 cubic inches would be around 1425.5 feet tall.
Recreational maths with 5005136448000
- 5005136448000 backwards is 0008446315005
- 5005136448000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 5005136448000's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 5005136448000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 5005136448000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/5005136448000/
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Numbermatics. 2024. "Number 5005136448000 - Facts about the integer". https://numbermatics.com/n/5005136448000/
The information we have on file for 5005136448000 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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