135752073216000
135,752,073,216,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135752073216000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
135752073216000 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 135752073216000:
217 × 3 × 53 × 31 × 412 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 41 × 41 × 53)See below for interesting mathematical facts about the number 135752073216000 from the Numbermatics database.
Names of 135752073216000
- Cardinal: 135752073216000 can be written as One hundred thirty-five trillion, seven hundred fifty-two billion, seventy-three million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.35752073216 × 1014
Factors of 135752073216000
Divisors of 135752073216000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 41 48 50 53 60 62 64 75 80 82 93 96 100 106 120 123 124 125 128 150 155 159 160 164 186 192 200 205 212 240 246 248 250 256 265 300 310 318 320 328 372 375 384 400 410 424 465 480 492 496 500 512 530 600 615 620 636 640 656 744 750 768 775 795 800 820 848 930 960 984 992 1000 1024 1025 1060 1200 1230 1240 1271 1272 1280 1312 1325 1488 1500 1536 1550 1590 1600 1640 1643 1681 1696 1860 1920 1968 1984 2000 2048 2050 2120 2173 2325 2400 2460 2480 2542 2544 2560 2624 2650 2976 3000 3072 3075 3100 3180 3200 3280 3286 3362 3392 3720 3813 3840 3875 3936 3968 3975 4000 4096 4100 4240 4346 4650 4800 4920 4929 4960 5043 5084 5088 5120 5125 5248 5300 5952 6000 6144 6150 6200 6355 6360 6400 6519 6560 6572 6625 6724 6784 7440 7626 7680 7750 7872 7936 7950 8000 8192 8200 8215 8405 8480 8692 9300 9600 9840 9858 9920 10086 10168 10176 10240 10250 10496 10600 10865 11625 11904 12000 12288 12300 12400 12710 12720 12800 13038 13120 13144 13250 13448 13568 14880 15252 15360 15375 15500 15744 15872 15900 16000 16384 16400 16430 16810 16960 17384 18600 19065 19200 19680 19716 19840 19875 20172 20336 20352 20480 20500 20992 21200 21730 23250 23808 24000 24576 24600 24645 24800 25215 25420 25440 25600 26076 26240 26288 26500 26896 27136 29760 30504 30720 30750 31000 31488 31744 31775 31800 32000 32595 32768 32800 32860 33620 33920 34768 37200 38130 38400 39360 39432 39680 39750 40344 40672 40704 40960 41000 41075 41984 42025 42400 43460 46500 47616 48000 49152 49200 49290 49600 50430 50840 50880 51200 52111 52152 52480 52576 53000 53792 54272 54325 59520 61008 61440 61500 62000 62976 63488 63550 63600 64000 65190 65536 65600 65720 67240 67363 67840 69536 74400 76260 76800 78720 78864 79360 79500 80688 81344 81408 81920 82000 82150 83968 84050 84800 86920 89093 93000 95232 95325 96000 98304 98400 98580 99200 100860 101680 101760 102400 104222 104304 104960 105152 106000 107584 108544 108650 119040 122016 122880 123000 123225 124000 125952 126075 126976 127100 127200 128000 130380 131072 131200 131440 134480 134726 135680 139072 148800 152520 153600 156333 157440 157728 158720 158875 159000 161376 162688 162816 162975 163840 164000 164300 167936 168100 169600 173840 178186 186000 190464 190650 192000 196608 196800 197160 198400 201720 202089 203360 203520 204800 205375 208444 208608 209920 210125 210304 212000 215168 217088 217300 238080 244032 245760 246000 246450 248000 251904 252150 253952 254200 254400 256000 260555 260760 262400 262880 267279 268960 269452 271360 271625 278144 297600 305040 307200 312666 314880 315456 317440 317750 318000 322752 325376 325632 325950 327680 328000 328600 335872 336200 336815 339200 347680 356372 372000 380928 381300 384000 393216 393600 394320 396800 403440 404178 406720 407040 409600 410750 416888 417216 419840 420250 420608 424000 430336 434176 434600 445465 476160 476625 488064 491520 492000 492900 496000 503808 504300 507904 508400 508800 512000 521110 521520 524800 525760 534558 537920 538904 542720 543250 556288 595200 610080 614400 616125 625332 629760 630375 630912 634880 635500 636000 645504 650752 651264 651900 655360 656000 657200 671744 672400 673630 678400 695360 712744 744000 761856 762600 768000 781665 787200 788640 793600 806880 808356 813440 814080 814875 819200 821500 833776 834432 839680 840500 841216 848000 860672 868352 869200 890930 952320 953250 976128 983040 984000 985800 992000 1007616 1008600 1010445 1015808 1016800 1017600 1024000 1042220 1043040 1049600 1051520 1069116 1075840 1077808 1085440 1086500 1112576 1190400 1220160 1228800 1232250 1250664 1259520 1260750 1261824 1269760 1271000 1272000 1291008 1301504 1302528 1302775 1303800 1312000 1314400 1336395 1343488 1344800 1347260 1356800 1390720 1425488 1488000 1523712 1525200 1536000 1563330 1574400 1577280 1587200 1613760 1616712 1626880 1628160 1629750 1638400 1643000 1667552 1668864 1679360 1681000 1682432 1684075 1696000 1721344 1736704 1738400 1781860 1904640 1906500 1952256 1966080 1968000 1971600 1984000 2015232 2017200 2020890 2031616 2033600 2035200 2048000 2084440 2086080 2099200 2103040 2138232 2151680 2155616 2170880 2173000 2225152 2227325 2380800 2440320 2457600 2464500 2501328 2519040 2521500 2523648 2539520 2542000 2544000 2582016 2603008 2605056 2605550 2607600 2624000 2628800 2672790 2686976 2689600 2694520 2713600 2761883 2781440 2850976 2976000 3047424 3050400 3072000 3126660 3148800 3154560 3174400 3227520 3233424 3253760 3256320 3259500 3276800 3286000 3335104 3337728 3358720 3362000 3364864 3368150 3392000 3442688 3473408 3476800 3563720 3809280 3813000 3904512 3908325 3936000 3943200 3968000 4030464 4034400 4041780 4063232 4067200 4070400 4096000 4168880 4172160 4198400 4206080 4276464 4303360 4311232 4341760 4346000 4450304 4454650 4761600 4880640 4915200 4929000 5002656 5038080 5043000 5047296 5052225 5079040 5084000 5088000 5164032 5206016 5210112 5211100 5215200 5248000 5257600 5345580 5373952 5379200 5389040 5427200 5523766 5562880 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2582016000 2586739200 2603008000 2605056000 2651407680 2668083200 2670182400 2691891200 2736936960 2754150400 2759188480 2761883000 2828168192 2850976000 2919399424 3123609600 3201699840 3230269440 3233424000 3304980480 3311026176 3314259600 3335104000 3337728000 3364864000 3415146496 3421171200 3442688000 3448985600 3535210240 3560243200 3649249280 3904512000 4002124800 4037836800 4131225600 4138782720 4142824500 4164812800 4242252288 4268933120 4272291840 4276464000 4311232000 4379099136 4414701568 4419012800 4450304000 4561561600 5002656000 5047296000 5122719744 5164032000 5173478400 5206016000 5302815360 5336166400 5340364800 5383782400 5473873920 5508300800 5518376960 5523766000 5656336384 5701952000 5838798848 6247219200 6403399680 6466848000 6622052352 6628519200 6670208000 6675456000 6729728000 6830292992 6842342400 6885376000 6897971200 7070420480 7120486400 7298498560 7809024000 8004249600 8075673600 8262451200 8277565440 8285649000 8484504576 8537866240 8552928000 8622464000 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35602432000 36492492800 40021248000 40378368000 41312256000 41387827200 42422522880 42689331200 43790991360 44147015680 44190128000 45250691072 45615616000 51227197440 51734784000 53028153600 53361664000 53403648000 54738739200 55183769600 56563363840 58387988480 62472192000 64033996800 66220523520 66285192000 67876036608 68423424000 68979712000 70704204800 72984985600 80042496000 80756736000 82624512000 82775654400 84845045760 85378662400 87581982720 88380256000 90501382144 91231232000 102454394880 103469568000 106056307200 106723328000 106807296000 109477478400 110367539200 113126727680 128067993600 132441047040 132570384000 135752073216 136846848000 137959424000 141408409600 145969971200 160084992000 165551308800 169690091520 170757324800 175163965440 176760512000 181002764288 182462464000 206939136000 212112614400 213446656000 218954956800 220735078400 226253455360 256135987200 265140768000 271504146432 273693696000 275918848000 282816819200 291939942400 320169984000 331102617600 339380183040 353521024000 362005528576 364924928000 413878272000 424225228800 426893312000 437909913600 452506910720 512271974400 530281536000 543008292864 547387392000 551837696000 565633638400 640339968000 662205235200 678760366080 707042048000 729849856000 827756544000 848450457600 853786624000 875819827200 905013821440 1060563072000 1086016585728 1094774784000 1103675392000 1131267276800 1280679936000 1357520732160 1414084096000 1459699712000 1655513088000 1696900915200 1810027642880 2121126144000 2189549568000 2262534553600 2561359872000 2715041464320 2828168192000 3311026176000 3393801830400 4242252288000 4379099136000 4525069107200 5430082928640 5656336384000 6787603660800 8484504576000 9050138214400 11312672768000 13575207321600 16969009152000 22625345536000 27150414643200 33938018304000 45250691072000 67876036608000 135752073216000
- Sum of all divisors σ(n): 487025690231808
- Sum of proper divisors (its aliquot sum) s(n): 351273617015808
- 135752073216000 is an abundant number, because the sum of its proper divisors (351273617015808) is greater than itself. Its abundance is 215521543799808
Bases of 135752073216000
- Binary: 111101101110111001111100001101000000000000000002
- Hexadecimal: 0x7B773E1A0000
- Base-36: 1C4BN3DM2O
Squares and roots of 135752073216000
- 135752073216000 squared (1357520732160002) is 18428625382442224582656000000
- 135752073216000 cubed (1357520732160003) is 2501724102187532872434632355741696000000000
-
The
square root of 135752073216000 is 11651269.1676057335 -
The
cube root of 135752073216000 is 51394.3633157333
Scales and comparisons
How big is 135752073216000?- 135,752,073,216,000 seconds is equal to 4,316,496 years, 1 week, 2 hours, 40 minutes.
-
To count from 1 to 135,752,073,216,000 would take you about ten million, seven hundred ninety-one thousand, two hundred forty 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 135752073216000 cubic inches would be around 4282.9 feet tall.
Recreational maths with 135752073216000
- 135752073216000 backwards is 000612370257531
- The number of decimal digits it has is: 15
- The sum of 135752073216000's digits is 42
- More coming soon!
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The information we have on file for 135752073216000 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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