137059155968000

Names of 137059155968000

• Cardinal: 137059155968000 can be written as One hundred thirty-seven trillion, fifty-nine billion, one hundred fifty-five million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.37059155968 × 10¹⁴

Factors of 137059155968000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 43

Divisors of 137059155968000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 49 50 56 58 64 70 80 98 100 112 116 125 128 140 145 160 175 196 200 203 224 232 245 250 256 280 290 320 343 350 392 400 406 448 464 490 500 512 560 580 640 686 700 725 784 800 812 841 875 896 928 980 1000 1015 1024 1120 1160 1225 1280 1372 1400 1421 1450 1568 1600 1624 1682 1715 1750 1792 1856 1960 2000 2030 2048 2240 2320 2450 2560 2744 2800 2842 2900 3136 3200 3248 3364 3430 3500 3584 3625 3712 3920 4000 4060 4096 4205 4480 4640 4900 5075 5120 5488 5600 5684 5800 5887 6125 6272 6400 6496 6728 6860 7000 7105 7168 7250 7424 7840 8000 8120 8192 8410 8575 8960 9280 9800 9947 10150 10240 10976 11200 11368 11600 11774 12250 12544 12800 12992 13456 13720 14000 14210 14336 14500 14848 15680 16000 16240 16384 16820 17150 17920 18560 19600 19894 20300 20480 21025 21952 22400 22736 23200 23548 24389 24500 25088 25375 25600 25984 26912 27440 28000 28420 28672 29000 29435 29696 31360 32000 32480 32768 33640 34300 35525 35840 37120 39200 39788 40600 40960 41209 42050 42875 43904 44800 45472 46400 47096 48778 49000 49735 50176 50750 51200 51968 53824 54880 56000 56840 57344 58000 58870 59392 62720 64000 64960 65536 67280 68600 71050 71680 74240 78400 79576 81200 81920 82418 84100 85750 87808 89600 90944 92800 94192 97556 98000 99470 100352 101500 102400 103936 105125 107648 109760 112000 113680 114688 116000 117740 118784 121945 125440 128000 129920 131072 134560 137200 142100 143360 147175 148480 156800 159152 162400 163840 164836 168200 170723 171500 175616 177625 179200 181888 185600 188384 195112 196000 198940 200704 203000 204800 206045 207872 210250 215296 219520 224000 227360 229376 232000 235480 237568 243890 248675 250880 256000 259840 269120 274400 284200 286720 288463 294350 296960 313600 318304 324800 327680 329672 336400 341446 343000 351232 355250 358400 363776 371200 376768 390224 392000 397880 401408 406000 409600 412090 415744 420500 430592 439040 448000 454720 458752 464000 470960 475136 487780 497350 501760 512000 519680 538240 548800 568400 573440 576926 588700 593920 609725 627200 636608 649600 655360 659344 672800 682892 686000 702464 710500 716800 727552 735875 742400 753536 780448 784000 795760 802816 812000 819200 824180 831488 841000 853615 861184 878080 896000 909440 917504 928000 941920 950272 975560 994700 1003520 1024000 1030225 1039360 1076480 1097600 1136800 1146880 1153852 1177400 1187840 1195061 1219450 1243375 1254400 1273216 1299200 1318688 1345600 1365784 1372000 1404928 1421000 1433600 1442315 1455104 1471750 1484800 1507072 1560896 1568000 1591520 1605632 1624000 1638400 1648360 1662976 1682000 1707230 1722368 1756160 1792000 1818880 1856000 1883840 1900544 1951120 1989400 2007040 2048000 2060450 2078720 2152960 2195200 2273600 2293760 2307704 2354800 2375680 2390122 2438900 2486750 2508800 2546432 2598400 2637376 2691200 2731568 2744000 2809856 2842000 2867200 2884630 2910208 2943500 2969600 3014144 3048625 3121792 3136000 3183040 3211264 3248000 3276800 3296720 3325952 3364000 3414460 3444736 3512320 3584000 3637760 3712000 3767680 3801088 3902240 3978800 4014080 4096000 4120900 4157440 4268075 4305920 4390400 4547200 4587520 4615408 4709600 4751360 4780244 4877800 4973500 5017600 5092864 5151125 5196800 5274752 5382400 5463136 5488000 5619712 5684000 5734400 5769260 5820416 5887000 5939200 5975305 6028288 6097250 6243584 6272000 6366080 6422528 6496000 6593440 6651904 6728000 6828920 6889472 7024640 7168000 7211575 7275520 7424000 7535360 7804480 7957600 8028160 8192000 8241800 8314880 8365427 8536150 8611840 8780800 9094400 9230816 9419200 9502720 9560488 9755600 9947000 10035200 10185728 10302250 10393600 10549504 10764800 10926272 10976000 11239424 11368000 11468800 11538520 11640832 11774000 11878400 11950610 12056576 12194500 12487168 12544000 12732160 12992000 13186880 13303808 13456000 13657840 13778944 14049280 14336000 14423150 14551040 14848000 15070720 15608960 15915200 16056320 16384000 16483600 16629760 16730854 17072300 17223680 17561600 18188800 18461632 18838400 19005440 19120976 19511200 19894000 20070400 20371456 20604500 20787200 21099008 21340375 21529600 21852544 21952000 22478848 22736000 22937600 23077040 23281664 23548000 23756800 23901220 24113152 24389000 24974336 25088000 25464320 25984000 26373760 26607616 26912000 27315680 27557888 28098560 28672000 28846300 29102080 29696000 29876525 30141440 31217920 31830400 32112640 32967200 33259520 33461708 34144600 34447360 35123200 36057875 36377600 36923264 37676800 38241952 39022400 39788000 40140800 40742912 41209000 41574400 41827135 42198016 42680750 43059200 43705088 43904000 44957696 45472000 46154080 46563328 47096000 47513600 47802440 48226304 48778000 49948672 50176000 50928640 51968000 52747520 53824000 54631360 55115776 56197120 57344000 57692600 58204160 59392000 59753050 60282880 62435840 63660800 65934400 66519040 66923416 68289200 68894720 70246400 72115750 72755200 73846528 75353600 76483904 78044800 79576000 80281600 81485824 82418000 83148800 83654270 84396032 85361500 86118400 87410176 87808000 90944000 92308160 93126656 94192000 95027200 95604880 96452608 97556000 99897344 100352000 101857280 103936000 105495040 107648000 109262720 110231552 112394240 114688000 115385200 116408320 118784000 119506100 120565760 124871680 127321600 131868800 133038080 133846832 136578400 137789440 140492800 144231500 145510400 147693056 149382625 150707200 152967808 156089600 159152000 160563200 162971648 164836000 166297600 167308540 168792064 170723000 172236800 174820352 175616000 181888000 184616320 186253312 188384000 191209760 192905216 195112000 199794688 200704000 203714560 207872000 209135675 210990080 215296000 218525440 224788480 230770400 232816640 237568000 239012200 241131520 249743360 254643200 263737600 267693664 273156800 275578880 280985600 288463000 291020800 295386112 298765250 301414400 305935616 312179200 318304000 325943296 329672000 332595200 334617080 337584128 341446000 344473600 349640704 351232000 363776000 369232640 376768000 382419520 385810432 390224000 399589376 401408000 407429120 415744000 418271350 421980160 430592000 437050880 461540800 465633280 475136000 478024400 482263040 499486720 509286400 527475200 535387328 546313600 551157760 561971200 576926000 582041600 590772224 597530500 602828800 611871232 624358400 636608000 651886592 659344000 665190400 669234160 675168256 682892000 688947200 699281408 702464000 727552000 738465280 753536000 764839040 771620864 780448000 799178752 802816000 814858240 831488000 836542700 843960320 861184000 874101760 923081600 931266560 956048800 964526080 998973440 1018572800 1045678375 1054950400 1070774656 1092627200 1123942400 1153852000 1164083200 1181544448 1195061000 1205657600 1223742464 1248716800 1273216000 1303773184 1318688000 1338468320 1350336512 1365784000 1377894400 1398562816 1404928000 1455104000 1476930560 1507072000 1529678080 1560896000 1598357504 1629716480 1662976000 1673085400 1687920640 1722368000 1748203520 1846163200 1912097600 1929052160 1997946880 2037145600 2091356750 2109900800 2141549312 2185254400 2307704000 2328166400 2363088896 2390122000 2411315200 2447484928 2497433600 2546432000 2637376000 2676936640 2700673024 2731568000 2755788800 2797125632 2809856000 2910208000 2953861120 3014144000 3059356160 3121792000 3196715008 3259432960 3325952000 3346170800 3375841280 3444736000 3496407040 3692326400 3824195200 3858104320 3995893760 4074291200 4182713500 4219801600 4283098624 4370508800 4615408000 4656332800 4726177792 4780244000 4822630400 4894969856 4994867200 5092864000 5274752000 5353873280 5401346048 5463136000 5594251264 5619712000 5820416000 5907722240 6028288000 6118712320 6243584000 6518865920 6692341600 6751682560 6889472000 6992814080 7384652800 7648390400 7991787520 8148582400 8365427000 8439603200 8566197248 8741017600 9230816000 9452355584 9560488000 9645260800 9789939712 9989734400 10185728000 10549504000 10707746560 10926272000 11188502528 11640832000 11815444480 12056576000 12237424640 12487168000 13384683200 13503365120 13778944000 13985628160 14769305600 15296780800 15983575040 16297164800 16730854000 16879206400 17132394496 17482035200 18461632000 18904711168 19120976000 19290521600 19579879424 19979468800 20371456000 21099008000 21415493120 21852544000 22377005056 23281664000 23630888960 24113152000 24474849280 24974336000 26769366400 27006730240 27971256320 29538611200 30593561600 32594329600 33461708000 33758412800 34264788992 34964070400 36923264000 37809422336 38241952000 39159758848 39958937600 40742912000 42198016000 42830986240 43705088000 47261777920 48226304000 48949698560 49948672000 53538732800 55942512640 59077222400 61187123200 66923416000 67516825600 68529577984 69928140800 73846528000 76483904000 78319517696 79917875200 81485824000 84396032000 85661972480 87410176000 94523555840 96452608000 97899397120 99897344000 107077465600 111885025280 118154444800 122374246400 133846832000 135033651200 137059155968 139856281600 147693056000 152967808000 156639035392 162971648000 168792064000 171323944960 174820352000 189047111680 195798794240 199794688000 214154931200 236308889600 244748492800 267693664000 274118311936 279712563200 295386112000 305935616000 337584128000 342647889920 349640704000 391597588480 399589376000 428309862400 472617779200 489496985600 535387328000 548236623872 559425126400 590772224000 611871232000 675168256000 685295779840 699281408000 783195176960 856619724800 945235558400 978993971200 1070774656000 1096473247744 1181544448000 1223742464000 1370591559680 1398562816000 1713239449600 1957987942400 2141549312000 2363088896000 2447484928000 2741183119360 2797125632000 3426478899200 3915975884800 4283098624000 4726177792000 4894969856000 5482366238720 6852957798400 8566197248000 9789939712000 13705915596800 17132394496000 19579879424000 27411831193600 34264788992000 68529577984000 137059155968000
• Sum of all divisors σ(n): 413196088032000
• Sum of proper divisors (its aliquot sum) s(n): 276136932064000
• 137059155968000 is an abundant number, because the sum of its proper divisors (276136932064000) is greater than itself. Its abundance is 139077776096000

Bases of 137059155968000

• Binary: 11111001010011110010010010011100000000000000000₂
• Hexadecimal: 0x7CA7924E0000
• Base-36: 1CL03UP88W

Squares and roots of 137059155968000

• 137059155968000 squared (137059155968000²) is 18785212234660550017024000000
• 137059155968000 cubed (137059155968000³) is 2574685333562322140319957471199232000000000
• The square root of 137059155968000 is 11707226.6557028783
• The cube root of 137059155968000 is 51558.7861679271

Scales and comparisons

• 137,059,155,968,000 seconds is equal to 4,358,057 years, 10 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 137,059,155,968,000 would take you about ten million, eight hundred ninety-five thousand, one hundred forty-three 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 137059155968000 cubic inches would be around 4296.6 feet tall.

Recreational maths with 137059155968000

• 137059155968000 backwards is 000869551950731
• The number of decimal digits it has is: 15
• The sum of 137059155968000's digits is 59
• More coming soon!