137349735470080
137,349,735,470,080 is an even composite number composed of six prime numbers multiplied together.
137349735470080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 137349735470080:
210 × 5 × 73 × 71 × 89 × 12377
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 71 × 89 × 12377)See below for interesting mathematical facts about the number 137349735470080 from the Numbermatics database.
Names of 137349735470080
- Cardinal: 137349735470080 can be written as One hundred thirty-seven trillion, three hundred forty-nine billion, seven hundred thirty-five million, four hundred seventy thousand and eighty.
Scientific notation
- Scientific notation: 1.3734973547008 × 1014
Factors of 137349735470080
Divisors of 137349735470080
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 71 80 89 98 112 128 140 142 160 178 196 224 245 256 280 284 320 343 355 356 392 445 448 490 497 512 560 568 623 640 686 710 712 784 890 896 980 994 1024 1120 1136 1246 1280 1372 1420 1424 1568 1715 1780 1792 1960 1988 2240 2272 2485 2492 2560 2744 2840 2848 3115 3136 3430 3479 3560 3584 3920 3976 4361 4480 4544 4970 4984 5120 5488 5680 5696 6230 6272 6319 6860 6958 7120 7168 7840 7952 8722 8960 9088 9940 9968 10976 11360 11392 12377 12460 12544 12638 13720 13916 14240 15680 15904 17395 17444 17920 18176 19880 19936 21805 21952 22720 22784 24353 24754 24920 25088 25276 27440 27832 28480 30527 31360 31595 31808 34790 34888 35840 36352 39760 39872 43610 43904 44233 45440 45568 48706 49508 49840 50176 50552 54880 55664 56960 61054 61885 62720 63190 63616 69580 69776 72704 79520 79744 86639 87220 87808 88466 90880 91136 97412 99016 99680 101104 109760 111328 113920 121765 122108 123770 125440 126380 127232 139160 139552 152635 159040 159488 173278 174440 175616 176932 181760 194824 198032 199360 202208 219520 221165 222656 227840 243530 244216 247540 250880 252760 254464 278320 279104 305270 309631 318080 318976 346556 348880 351232 353864 363520 389648 396064 398720 404416 433195 439040 442330 445312 455680 487060 488432 495080 505520 508928 556640 558208 606473 610540 619262 636160 637952 693112 697760 707728 779296 792128 797440 808832 866390 878080 878767 884660 890624 974120 976864 990160 1011040 1101553 1113280 1116416 1212946 1221080 1238524 1272320 1386224 1395520 1415456 1548155 1558592 1584256 1594880 1617664 1732780 1756160 1757534 1769320 1781248 1948240 1953728 1980320 2022080 2167417 2203106 2226560 2232832 2425892 2442160 2477048 2544640 2772448 2791040 2830912 3032365 3096310 3117184 3168512 3189760 3235328 3465560 3515068 3538640 3562496 3896480 3907456 3960640 4044160 4245311 4334834 4393835 4406212 4453120 4465664 4851784 4884320 4954096 5507765 5544896 5582080 5661824 6064730 6151369 6192620 6234368 6337024 6470656 6931120 7030136 7077280 7710871 7792960 7814912 7921280 8088320 8490622 8669668 8787670 8812424 8906240 9703568 9768640 9908192 10837085 11015530 11089792 11164160 11323648 12129460 12302738 12385240 12468736 12674048 13862240 14060272 14154560 15421742 15585920 15629824 15842560 16176640 16981244 17339336 17575340 17624848 17812480 19407136 19537280 19816384 21226555 21674170 22031060 22179584 22328320 22647296 24258920 24605476 24770480 24937472 27724480 28120544 28309120 30756845 30843484 31171840 31259648 31685120 32353280 33962488 34678672 35150680 35249696 38554355 38814272 39074560 39632768 42453110 43059583 43348340 44062120 44359168 45294592 48517840 49210952 49540960 53976097 55448960 56241088 56618240 61513690 61686968 62343680 63370240 67924976 69357344 70301360 70499392 77108710 77628544 78149120 78210263 79265536 84906220 86119166 86696680 88124240 88718336 97035680 98421904 99081920 107952194 110897920 112482176 113236480 123027380 123373936 124687360 135849952 138714688 140602720 140998784 154217420 155257088 156298240 156420526 158531072 169812440 172238332 173393360 176248480 194071360 196843808 198163840 215297915 215904388 221795840 224964352 226472960 246054760 246747872 269880485 271699904 277429376 281205440 281997568 301417081 308434840 310514176 312841052 317062144 339624880 344476664 346786720 352496960 377832679 388142720 391051315 393687616 396327680 430595830 431808776 443591680 449928704 492109520 493495744 539760970 543399808 547471841 554858752 562410880 563995136 602834162 616869680 621028352 625682104 679249760 688953328 693573440 704993920 755665358 776285440 782102630 787375232 792655360 861191660 863617552 899857408 984219040 986991488 1079521940 1086799616 1094943682 1109717504 1124821760 1127990272 1205668324 1233739360 1251364208 1358499520 1377906656 1387146880 1409987840 1507085405 1511330716 1552570880 1564205260 1574750464 1585310720 1722383320 1727235104 1889163395 1968438080 1973982976 2159043880 2173599232 2189887364 2219435008 2249643520 2411336648 2467478720 2502728416 2716999040 2737359205 2755813312 2774293760 2819975680 3014170810 3022661432 3105141760 3128410520 3149500928 3444766640 3454470208 3778326790 3832302887 3936876160 3947965952 4318087760 4347198464 4379774728 4499287040 4822673296 4934957440 5005456832 5433998080 5474718410 5511626624 5548587520 5639951360 6028341620 6045322864 6256821040 6299001856 6889533280 6908940416 7556653580 7664605774 7873752320 7895931904 8636175520 8759549456 9645346592 9869914880 10010913664 10867996160 10949436820 11023253248 11097175040 12056683240 12090645728 12513642080 13779066560 13817880832 15113307160 15329211548 15747504640 17272351040 17519098912 19161514435 19290693184 19739829760 20021827328 21735992320 21898873640 22046506496 24113366480 24181291456 25027284160 26826120209 27558133120 27635761664 30226614320 30658423096 31495009280 34544702080 35038197824 38323028870 38581386368 39479659520 40043654656 43797747280 44093012992 48226732960 48362582912 50054568320 53652240418 55116266240 55271523328 60453228640 61316846192 69089404160 70076395648 76646057740 77162772736 80087309312 87595494560 96453465920 96725165824 100109136640 107304480836 110232532480 120906457280 122633692384 134130601045 138178808320 140152791296 153292115480 154325545472 175190989120 192906931840 193450331648 200218273280 214608961672 220465064960 241812914560 245267384768 268261202090 276357616640 280305582592 306584230960 308651090944 350381978240 385813863680 386900663296 400436546560 429217923344 483625829120 490534769536 536522404180 560611165184 613168461920 700763956480 771627727360 858435846688 967251658240 981069539072 1073044808360 1226336923840 1401527912960 1543255454720 1716871693376 1934503316480 1962139078144 2146089616720 2452673847680 2803055825920 3433743386752 3924278156288 4292179233440 4905347695360 6867486773504 8584358466880 9810695390720 13734973547008 17168716933760 19621390781440 27469947094016 34337433867520 68674867735040 137349735470080
- Sum of all divisors σ(n): 394052936832000
- Sum of proper divisors (its aliquot sum) s(n): 256703201361920
- 137349735470080 is an abundant number, because the sum of its proper divisors (256703201361920) is greater than itself. Its abundance is 119353465891840
Bases of 137349735470080
- Binary: 111110011101011001110100011000101010100000000002
- Hexadecimal: 0x7CEB3A315400
- Base-36: 1COPLI8F0G
Squares and roots of 137349735470080
- 137349735470080 squared (1373497354700802) is 18864949833700952078575206400
- 137349735470080 cubed (1373497354700803) is 2591095869315155455066147329706937024512000
-
The
square root of 137349735470080 is 11719630.3469896183 -
The
cube root of 137349735470080 is 51595.1970909293
Scales and comparisons
How big is 137349735470080?- 137,349,735,470,080 seconds is equal to 4,367,296 years, 38 weeks, 2 days, 9 hours, 14 minutes, 40 seconds.
-
To count from 1 to 137,349,735,470,080 would take you about ten million, nine hundred eighteen thousand, two hundred forty-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 137349735470080 cubic inches would be around 4299.6 feet tall.
Recreational maths with 137349735470080
- 137349735470080 backwards is 080074537943731
- The number of decimal digits it has is: 15
- The sum of 137349735470080's digits is 61
- More coming soon!
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