137130140928000
137,130,140,928,000 is an even composite number composed of six prime numbers multiplied together.
137130140928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137130140928000:
211 × 3 × 53 × 11 × 181 × 89681
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 181 × 89681)See below for interesting mathematical facts about the number 137130140928000 from the Numbermatics database.
Names of 137130140928000
- Cardinal: 137130140928000 can be written as One hundred thirty-seven trillion, one hundred thirty billion, one hundred forty million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.37130140928 × 1014
Factors of 137130140928000
Divisors of 137130140928000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 125 128 132 150 160 165 176 181 192 200 220 240 250 256 264 275 300 320 330 352 362 375 384 400 440 480 500 512 528 543 550 600 640 660 704 724 750 768 800 825 880 905 960 1000 1024 1056 1086 1100 1200 1280 1320 1375 1408 1448 1500 1536 1600 1650 1760 1810 1920 1991 2000 2048 2112 2172 2200 2400 2560 2640 2715 2750 2816 2896 3000 3072 3200 3300 3520 3620 3840 3982 4000 4125 4224 4344 4400 4525 4800 5120 5280 5430 5500 5632 5792 5973 6000 6144 6400 6600 7040 7240 7680 7964 8000 8250 8448 8688 8800 9050 9600 9955 10240 10560 10860 11000 11264 11584 11946 12000 12800 13200 13575 14080 14480 15360 15928 16000 16500 16896 17376 17600 18100 19200 19910 21120 21720 22000 22528 22625 23168 23892 24000 25600 26400 27150 28160 28960 29865 30720 31856 32000 33000 33792 34752 35200 36200 38400 39820 42240 43440 44000 45250 46336 47784 48000 49775 51200 52800 54300 56320 57920 59730 63712 64000 66000 67584 67875 69504 70400 72400 76800 79640 84480 86880 88000 89681 90500 92672 95568 96000 99550 105600 108600 112640 115840 119460 127424 128000 132000 135750 139008 140800 144800 149325 153600 159280 168960 173760 176000 179362 181000 185344 191136 192000 199100 211200 217200 231680 238920 248875 254848 256000 264000 269043 271500 278016 281600 289600 298650 318560 337920 347520 352000 358724 362000 370688 382272 384000 398200 422400 434400 448405 463360 477840 497750 509696 528000 538086 543000 556032 563200 579200 597300 637120 695040 704000 717448 724000 746625 764544 768000 796400 844800 868800 896810 926720 955680 986491 995500 1019392 1056000 1076172 1086000 1112064 1158400 1194600 1274240 1345215 1390080 1408000 1434896 1448000 1493250 1529088 1592800 1689600 1737600 1793620 1853440 1911360 1972982 1991000 2038784 2112000 2152344 2172000 2242025 2316800 2389200 2548480 2690430 2780160 2816000 2869792 2896000 2959473 2986500 3058176 3185600 3475200 3587240 3822720 3945964 3982000 4077568 4224000 4304688 4344000 4484050 4633600 4778400 4932455 5096960 5380860 5560320 5739584 5792000 5918946 5973000 6116352 6371200 6726075 6950400 7174480 7645440 7891928 7964000 8448000 8609376 8688000 8968100 9267200 9556800 9864910 10193920 10761720 11210125 11479168 11584000 11837892 11946000 12232704 12742400 13452150 13900800 14348960 14797365 15290880 15783856 15928000 16232261 17218752 17376000 17936200 19113600 19729820 20387840 21523440 22420250 22958336 23168000 23675784 23892000 24662275 25484800 26904300 27801600 28697920 29594730 30581760 31567712 31856000 32464522 33630375 34437504 34752000 35872400 38227200 39459640 43046880 44840500 45916672 46336000 47351568 47784000 48696783 49324550 50969600 53808600 57395840 59189460 61163520 63135424 63712000 64929044 67260750 68875008 69504000 71744800 73986825 76454400 78919280 81161305 86093760 89681000 91833344 94703136 95568000 97393566 98649100 101939200 107617200 114791680 118378920 123311375 126270848 127424000 129858088 134521500 137750016 139008000 143489600 147973650 152908800 157838560 162322610 172187520 178554871 179362000 183666688 189406272 191136000 194787132 197298200 215234400 229583360 236757840 243483915 246622750 252541696 254848000 259716176 269043000 275500032 286979200 295947300 305817600 315677120 324645220 344375040 357109742 358724000 369934125 378812544 382272000 389574264 394596400 405806525 430468800 459166720 473515680 486967830 493245500 505083392 509696000 519432352 535664613 538086000 551000064 573958400 591894600 631354240 649290440 688750080 714219484 717448000 739868250 757625088 764544000 779148528 789192800 811613050 860937600 892774355 918333440 947031360 973935660 986491000 1010166784 1038864704 1071329226 1076172000 1147916800 1183789200 1217419575 1262708480 1298580880 1377500160 1428438968 1434896000 1479736500 1515250176 1529088000 1558297056 1578385600 1623226100 1721875200 1785548710 1894062720 1947871320 1972982000 2020333568 2029032625 2077729408 2142658452 2152344000 2295833600 2367578400 2434839150 2525416960 2597161760 2678323065 2755000320 2856877936 2869792000 2959473000 3030500352 3116594112 3156771200 3246452200 3443750400 3571097420 3788125440 3895742640 3945964000 4058065250 4155458816 4285316904 4304688000 4463871775 4591667200 4735156800 4869678300 5050833920 5194323520 5356646130 5713755872 5739584000 5918946000 6061000704 6087097875 6233188224 6313542400 6492904400 6887500800 7142194840 7576250880 7791485280 7891928000 8116130500 8310917632 8570633808 8609376000 8927743550 9470313600 9739356600 10101667840 10388647040 10713292260 11427511744 11479168000 11837892000 12174195750 12466376448 12627084800 12985808800 13391615325 13775001600 14284389680 15152501760 15582970560 15783856000 16232261000 16621835264 17141267616 17218752000 17855487100 18940627200 19478713200 20777294080 21426584520 22319358875 22855023488 22958336000 23675784000 24348391500 24932752896 25254169600 25971617600 26783230650 28568779360 30305003520 31165941120 31567712000 32464522000 33243670528 34282535232 34437504000 35710974200 37881254400 38957426400 41554588160 42853169040 44638717750 45710046976 47351568000 48696783000 49865505792 50508339200 51943235200 53566461300 57137558720 62331882240 63135424000 64929044000 66958076625 68565070464 68875008000 71421948400 75762508800 77914852800 83109176320 85706338080 89277435500 91420093952 94703136000 97393566000 99731011584 103886470400 107132922600 114275117440 124663764480 126270848000 129858088000 133916153250 137130140928 142843896800 151525017600 155829705600 166218352640 171412676160 178554871000 182840187904 189406272000 194787132000 207772940800 214265845200 228550234880 249327528960 252541696000 259716176000 267832306500 274260281856 285687793600 311659411200 342825352320 357109742000 365680375808 378812544000 389574264000 415545881600 428531690400 457100469760 498655057920 519432352000 535664613000 548520563712 571375587200 623318822400 685650704640 714219484000 757625088000 779148528000 831091763200 857063380800 914200939520 1038864704000 1071329226000 1097041127424 1142751174400 1246637644800 1371301409280 1428438968000 1558297056000 1714126761600 1828401879040 2077729408000 2142658452000 2285502348800 2493275289600 2742602818560 2856877936000 3116594112000 3428253523200 4155458816000 4285316904000 4571004697600 5485205637120 5713755872000 6233188224000 6856507046400 8570633808000 9142009395200 11427511744000 12466376448000 13713014092800 17141267616000 22855023488000 27426028185600 34282535232000 45710046976000 68565070464000 137130140928000
- Sum of all divisors σ(n): 500491164176640
- Sum of proper divisors (its aliquot sum) s(n): 363361023248640
- 137130140928000 is an abundant number, because the sum of its proper divisors (363361023248640) is greater than itself. Its abundance is 226230882320640
Bases of 137130140928000
- Binary: 111110010111000000110010101011010001000000000002
- Hexadecimal: 0x7CB819568800
- Base-36: 1CLWPTB9XC
Squares and roots of 137130140928000
- 137130140928000 squared (1371301409280002) is 18804675550933140701184000000
- 137130140928000 cubed (1371301409280003) is 2578687808404777626259014656458752000000000
-
The
square root of 137130140928000 is 11710257.9360149023 -
The
cube root of 137130140928000 is 51567.6856505173
Scales and comparisons
How big is 137130140928000?- 137,130,140,928,000 seconds is equal to 4,360,314 years, 16 weeks, 21 hours, 20 minutes.
-
To count from 1 to 137,130,140,928,000 would take you about ten million, nine hundred thousand, seven hundred eighty-five 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 137130140928000 cubic inches would be around 4297.3 feet tall.
Recreational maths with 137130140928000
- 137130140928000 backwards is 000829041031731
- The number of decimal digits it has is: 15
- The sum of 137130140928000's digits is 39
- More coming soon!
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