137628293504000

Names of 137628293504000

• Cardinal: 137628293504000 can be written as One hundred thirty-seven trillion, six hundred twenty-eight billion, two hundred ninety-three million, five hundred four thousand.

Scientific notation

• Scientific notation: 1.37628293504 × 10¹⁴

Factors of 137628293504000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 11845

Divisors of 137628293504000

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 50 52 64 65 80 92 100 104 115 125 128 130 160 184 200 208 230 250 256 260 299 313 320 325 368 400 416 460 500 512 520 575 598 626 640 650 736 800 832 920 1000 1024 1040 1150 1196 1252 1280 1300 1472 1495 1565 1600 1625 1664 1840 2000 2080 2300 2392 2504 2560 2600 2875 2944 2990 3130 3200 3250 3328 3680 4000 4069 4160 4600 4784 5008 5120 5200 5750 5888 5980 6260 6400 6500 6656 7199 7360 7475 7825 8000 8138 8320 9200 9568 10016 10400 11489 11500 11776 11960 12520 12800 13000 13312 14398 14720 14950 15650 16000 16276 16640 18400 19136 20032 20345 20800 22978 23000 23552 23920 25040 25600 26000 28796 29440 29900 31300 32000 32552 33280 35995 36800 37375 38272 39125 40064 40690 41600 45956 46000 47840 50080 52000 57445 57592 58880 59800 62600 64000 65104 66560 71990 73600 74750 76544 78250 80128 81380 83200 91912 92000 93587 95680 100160 101725 104000 114890 115184 117760 119600 125200 128000 130208 143980 147200 149357 149500 153088 156500 160256 162760 166400 179975 183824 184000 187174 191360 200320 203450 208000 229780 230368 239200 250400 260416 264247 287225 287960 294400 298714 299000 306176 313000 320512 325520 332800 359950 367648 368000 374348 382720 400640 406900 416000 459560 460736 467935 478400 500800 508625 520832 528494 574450 575920 588800 597428 598000 626000 651040 719900 735296 736000 746785 748696 765440 801280 813800 832000 899875 919120 921472 935870 956800 1001600 1017250 1041664 1056988 1148900 1151840 1194856 1196000 1252000 1302080 1321235 1436125 1439800 1470592 1472000 1493570 1497392 1530880 1602560 1627600 1664000 1799750 1838240 1842944 1871740 1913600 2003200 2034500 2083328 2113976 2297800 2303680 2339675 2389712 2392000 2504000 2604160 2642470 2872250 2879600 2941184 2944000 2987140 2994784 3255200 3435211 3596057 3599500 3676480 3685888 3733925 3743480 3827200 4006400 4069000 4166656 4227952 4595600 4607360 4679350 4779424 4784000 5008000 5208320 5284940 5744500 5759200 5882368 5974280 5989568 6510400 6606175 6870422 7192114 7199000 7352960 7371776 7467850 7486960 7654400 8012800 8138000 8455904 9191200 9214720 9358700 9558848 9568000 10016000 10416640 10569880 11489000 11518400 11698375 11764736 11948560 11979136 13020800 13212350 13740844 14384228 14398000 14705920 14935700 14973920 16276000 16911808 17176055 17980285 18382400 18429440 18669625 18717400 19117696 19136000 20032000 20833280 21139760 22978000 23036800 23396750 23897120 23958272 26041600 26424700 27481688 28768456 28796000 29411840 29871400 29947840 32552000 33030875 33823616 34352110 35960570 36764800 36858880 37339250 37434800 38235392 38272000 40064000 42279520 45956000 46073600 46748741 46793500 47794240 47916544 52083200 52849400 54963376 57536912 57592000 58823680 59742800 59895680 65104000 66061750 67647232 68704220 71921140 73529600 74678500 74869600 76470784 82709311 84559040 85880275 89901425 91912000 92147200 93497482 93587000 95588480 95833088 104166400 105698800 109926752 115073824 115184000 119485600 119791360 130208000 132123500 135294464 137408440 143842280 147059200 149357000 149739200 152941568 165418622 169118080 171760550 179802850 183824000 184294400 186994964 187174000 191176960 211397600 219853504 230147648 230368000 233743705 238971200 239582720 260416000 264247000 270588928 274816880 287684560 294118400 298714000 299478400 330837244 338236160 343521100 359605700 367648000 373989928 374348000 382353920 413546555 422795200 429401375 439707008 449507125 460295296 460736000 467487410 477942400 479165440 520832000 528494000 549633760 575369120 597428000 598956800 661674488 676472320 687042200 719211400 735296000 747979856 748696000 764707840 827093110 845590400 858802750 879414016 899014250 920590592 921472000 934974820 955884800 1056988000 1075221043 1099267520 1150738240 1168718525 1194856000 1197913600 1323348976 1352944640 1374084400 1438422800 1470592000 1495959712 1497392000 1654186220 1691180800 1717605500 1758828032 1798028500 1841181184 1869949640 1911769600 2067732775 2113976000 2150442086 2198535040 2301476480 2337437050 2389712000 2395827200 2646697952 2748168800 2876845600 2991919424 2994784000 3308372440 3382361600 3435211000 3517656064 3596057000 3682362368 3739899280 3823539200 4135465550 4227952000 4300884172 4397070080 4602952960 4674874100 4779424000 5293395904 5376105215 5496337600 5753691200 5843592625 5983838848 5989568000 6616744880 6764723200 6870422000 7192114000 7479798560 8270931100 8455904000 8601768344 8794140160 9205905920 9349748200 9558848000 10338663875 10586791808 10752210430 10992675200 11507382400 11687185250 11967677696 11979136000 13233489760 13740844000 14384228000 14959597120 16541862200 16911808000 17203536688 17588280320 18411811840 18699496400 19117696000 20677327750 21173583616 21504420860 21985350400 23014764800 23374370500 23935355392 26466979520 26880526075 27481688000 28768456000 29919194240 33083724400 33823616000 34407073376 37398992800 41354655500 42347167232 43008841720 43970700800 46029529600 46748741000 47870710784 52933959040 53761052150 54963376000 57536912000 59838388480 66167448800 68814146752 74797985600 82709311000 84694334464 86017683440 87941401600 92059059200 93497482000 105867918080 107522104300 109926752000 115073824000 119676776960 132334897600 134402630375 137628293504 149595971200 165418622000 172035366880 186994964000 211735836160 215044208600 219853504000 230147648000 239353553920 264669795200 268805260750 275256587008 299191942400 330837244000 344070733760 373989928000 423471672320 430088417200 439707008000 460295296000 529339590400 537610521500 550513174016 598383884800 661674488000 688141467520 747979856000 860176834400 1058679180800 1075221043000 1101026348032 1196767769600 1323348976000 1376282935040 1495959712000 1720353668800 2117358361600 2150442086000 2646697952000 2752565870080 2991919424000 3440707337600 4300884172000 5293395904000 5505131740160 5983838848000 6881414675200 8601768344000 10586791808000 13762829350400 17203536688000 27525658700800 34407073376000 68814146752000 137628293504000
• Sum of all divisors σ(n): 387107330238720
• Sum of proper divisors (its aliquot sum) s(n): 249479036734720
• 137628293504000 is an abundant number, because the sum of its proper divisors (249479036734720) is greater than itself. Its abundance is 111850743230720

Bases of 137628293504000

• Binary: 11111010010110000010101100010111001110000000000₂
• Hexadecimal: 0x7D2C158B9C00
• Base-36: 1CS9KCHTKW

Squares and roots of 137628293504000

• 137628293504000 squared (137628293504000²) is 18941547172823168598016000000
• 137628293504000 cubed (137628293504000³) is 2606892813721168460099022240088064000000000
• The square root of 137628293504000 is 11731508.5775018721
• The cube root of 137628293504000 is 51630.0534898241

Scales and comparisons

• 137,628,293,504,000 seconds is equal to 4,376,154 years, 1 week, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 137,628,293,504,000 would take you about ten million, nine hundred forty thousand, three 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 137628293504000 cubic inches would be around 4302.5 feet tall.

Recreational maths with 137628293504000

• 137628293504000 backwards is 000405392826731
• 137628293504000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137628293504000's digits is 50
• More coming soon!