137412728832000
137,412,728,832,000 is an even composite number composed of six prime numbers multiplied together.
137412728832000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137412728832000:
214 × 3 × 53 × 17 × 312 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 31 × 31 × 37 × 37)See below for interesting mathematical facts about the number 137412728832000 from the Numbermatics database.
Names of 137412728832000
- Cardinal: 137412728832000 can be written as One hundred thirty-seven trillion, four hundred twelve billion, seven hundred twenty-eight million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.37412728832 × 1014
Factors of 137412728832000
Divisors of 137412728832000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 37 40 48 50 51 60 62 64 68 74 75 80 85 93 96 100 102 111 120 124 125 128 136 148 150 155 160 170 185 186 192 200 204 222 240 248 250 255 256 272 296 300 310 320 340 370 372 375 384 400 408 425 444 465 480 496 500 510 512 527 544 555 592 600 620 629 640 680 740 744 750 768 775 800 816 850 888 925 930 960 961 992 1000 1020 1024 1054 1088 1110 1147 1184 1200 1240 1258 1275 1280 1360 1369 1480 1488 1500 1536 1550 1581 1600 1632 1700 1776 1850 1860 1887 1920 1922 1984 2000 2040 2048 2108 2125 2176 2220 2294 2325 2368 2400 2480 2516 2550 2560 2635 2720 2738 2775 2883 2960 2976 3000 3072 3100 3145 3162 3200 3264 3400 3441 3552 3700 3720 3774 3840 3844 3875 3968 4000 4080 4096 4107 4216 4250 4352 4440 4588 4625 4650 4736 4800 4805 4960 5032 5100 5120 5270 5440 5476 5550 5735 5766 5920 5952 6000 6144 6200 6290 6324 6375 6400 6528 6800 6845 6882 7104 7400 7440 7548 7680 7688 7750 7905 7936 8000 8160 8192 8214 8432 8500 8704 8880 9176 9250 9300 9435 9472 9600 9610 9920 10064 10200 10240 10540 10880 10952 11100 11470 11532 11625 11840 11904 12000 12288 12400 12580 12648 12750 12800 13056 13175 13600 13690 13764 13875 14208 14415 14800 14880 15096 15360 15376 15500 15725 15810 15872 16000 16320 16337 16384 16428 16864 17000 17205 17408 17760 18352 18500 18600 18870 18944 19200 19220 19499 19840 20128 20400 20480 20535 21080 21760 21904 22200 22940 23064 23250 23273 23680 23808 24000 24025 24576 24800 25160 25296 25500 25600 26112 26350 27200 27380 27528 27750 28416 28675 28830 29600 29760 30192 30720 30752 31000 31450 31620 31744 32000 32640 32674 32856 33728 34000 34225 34410 34816 35520 35557 36704 37000 37200 37740 37888 38400 38440 38998 39525 39680 40256 40800 40960 41070 42160 42439 43520 43808 44400 45880 46128 46500 46546 47175 47360 47616 48000 48050 49011 49152 49600 50320 50592 51000 51200 52224 52700 54400 54760 55056 55500 56832 57350 57660 58497 59200 59520 60384 61440 61504 62000 62900 63240 63488 64000 65280 65348 65712 65875 67456 68000 68450 68820 69632 69819 71040 71114 72075 73408 74000 74400 75480 75776 76800 76880 77996 78625 79050 79360 80512 81600 81685 81920 82140 84320 84878 86025 87040 87616 88800 91760 92256 93000 93092 94350 94720 95232 96000 96100 97495 98022 99200 100640 101184 102000 102400 102675 104448 105400 106671 108800 109520 110112 111000 113664 114700 115320 116365 116994 118400 119040 120125 120768 122880 123008 124000 125800 126480 126976 127317 128000 130560 130696 131424 131750 134912 136000 136900 137640 139264 139638 142080 142228 143375 144150 146816 148000 148800 150960 151552 153600 153760 155992 157250 158100 158720 161024 163200 163370 164280 168640 169756 171125 172050 174080 175232 177600 177785 183520 184512 186000 186184 188700 189440 190464 192000 192200 194990 196044 197625 198400 201280 202368 204000 204800 205350 208896 210800 212195 213342 217600 219040 220224 222000 227328 229400 230640 232730 233988 235875 236800 238080 240250 241536 245055 245760 246016 248000 251600 252960 253952 254634 256000 261120 261392 262848 263500 269824 272000 273800 275280 278528 279276 284160 284456 286750 288300 292485 293632 296000 297600 301920 303104 307200 307520 311984 314500 316200 317440 322048 326400 326740 328560 337280 339512 342250 344100 348160 349095 350464 355200 355570 360375 367040 369024 372000 372368 377400 378880 380928 384000 384400 389980 392088 395250 396800 402560 404736 408000 408425 409600 410700 417792 421600 424390 426684 430125 435200 438080 440448 444000 454656 458800 461280 465460 467976 471750 473600 476160 480500 483072 487475 490110 492032 496000 503200 505920 507904 509268 512000 513375 522240 522784 525696 527000 533355 539648 544000 547600 550560 558552 568320 568912 573500 576600 581825 584970 587264 592000 595200 603840 604469 606208 614400 615040 623968 629000 632400 634880 636585 644096 652800 653480 657120 674560 679024 684500 688200 696320 698190 700928 710400 711140 720750 721463 734080 738048 744000 744736 754800 757760 761856 768000 768800 779960 784176 790500 793600 805120 809472 816000 816850 821400 835584 843200 848780 853368 860250 870400 876160 880896 888000 888925 909312 917600 922560 930920 935952 943500 947200 952320 961000 966144 974950 980220 984064 992000 1006400 1011840 1018536 1024000 1026750 1044480 1045568 1051392 1054000 1060975 1066710 1079296 1088000 1095200 1101120 1117104 1136640 1137824 1147000 1153200 1163650 1169940 1174528 1184000 1190400 1207680 1208938 1225275 1228800 1230080 1247936 1258000 1264800 1269760 1273170 1288192 1305600 1306960 1314240 1315609 1349120 1358048 1369000 1376400 1392640 1396380 1401856 1420800 1422280 1441500 1442926 1462425 1468160 1476096 1488000 1489472 1509600 1515520 1523712 1536000 1537600 1559920 1568352 1581000 1587200 1610240 1618944 1632000 1633700 1642800 1686400 1697560 1706736 1720500 1740800 1745475 1752320 1761792 1776000 1777850 1813407 1818624 1835200 1845120 1861840 1871904 1887000 1894400 1904640 1922000 1932288 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107353694400 107774689280 109231104000 110816716800 114510607360 116058048000 119801856000 123795251200 126298464000 130372608000 134192118000 134718361600 137412728832 138520896000 142989312000 143138259200 147755622400 148554301440 154744064000 161662033920 168397952000 171765911040 177306746880 178922824000 183216971776 184694528000 185692876800 202077542400 214707388800 218462208000 221633433600 229021214720 232116096000 247590502400 252596928000 260745216000 268384236000 269436723200 274825457664 277041792000 286276518400 295511244800 309488128000 323324067840 336795904000 343531822080 357845648000 366433943552 369389056000 371385753600 404155084800 429414777600 443266867200 458042429440 464232192000 505193856000 536768472000 538873446400 549650915328 554083584000 572553036800 618976256000 673591808000 687063644160 715691296000 738778112000 742771507200 808310169600 858829555200 886533734400 916084858880 928464384000 1010387712000 1073536944000 1099301830656 1108167168000 1145106073600 1237952512000 1347183616000 1374127288320 1431382592000 1477556224000 1616620339200 1717659110400 1832169717760 1856928768000 2020775424000 2147073888000 2216334336000 2290212147200 2694367232000 2748254576640 2862765184000 3435318220800 3713857536000 4041550848000 4294147776000 4432668672000 4580424294400 5496509153280 5725530368000 6870636441600 8083101696000 8588295552000 9160848588800 11451060736000 13741272883200 17176591104000 22902121472000 27482545766400 34353182208000 45804242944000 68706364416000 137412728832000
- Sum of all divisors σ(n): 514205978648544
- Sum of proper divisors (its aliquot sum) s(n): 376793249816544
- 137412728832000 is an abundant number, because the sum of its proper divisors (376793249816544) is greater than itself. Its abundance is 239380520984544
Bases of 137412728832000
- Binary: 111110011111001111001001110001111000000000000002
- Hexadecimal: 0x7CF9E4E3C000
- Base-36: 1CPIJAUS5C
Squares and roots of 137412728832000
- 137412728832000 squared (1374127288320002) is 18882258045056764084224000000
- 137412728832000 cubed (1374127288320003) is 2594662604481235561152869321146368000000000
-
The
square root of 137412728832000 is 11722317.5537945567 -
The
cube root of 137412728832000 is 51603.0836688469
Scales and comparisons
How big is 137412728832000?- 137,412,728,832,000 seconds is equal to 4,369,299 years, 38 weeks, 5 hours, 20 minutes.
-
To count from 1 to 137,412,728,832,000 would take you about ten million, nine hundred twenty-three thousand, two hundred forty-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 137412728832000 cubic inches would be around 4300.3 feet tall.
Recreational maths with 137412728832000
- 137412728832000 backwards is 000238827214731
- 137412728832000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137412728832000's digits is 48
- More coming soon!
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Numbermatics. (2024). Number 137412728832000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/137412728832000/
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The information we have on file for 137412728832000 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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