137916693648000

Names of 137916693648000

• Cardinal: 137916693648000 can be written as One hundred thirty-seven trillion, nine hundred sixteen billion, six hundred ninety-three million, six hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.37916693648 × 10¹⁴

Factors of 137916693648000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 135437

Divisors of 137916693648000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 73 75 80 90 96 97 100 120 125 128 144 146 150 160 180 192 194 200 219 225 240 250 288 291 292 300 320 360 365 375 384 388 400 438 450 480 485 500 576 582 584 600 640 657 720 730 750 776 800 873 876 900 960 970 1000 1095 1125 1152 1164 1168 1200 1314 1440 1455 1460 1500 1552 1600 1746 1752 1800 1825 1920 1940 2000 2190 2250 2328 2336 2400 2425 2628 2880 2910 2920 3000 3104 3200 3285 3492 3504 3600 3650 3880 4000 4365 4380 4500 4656 4672 4800 4850 5256 5475 5760 5820 5840 6000 6208 6570 6984 7008 7081 7200 7275 7300 7760 8000 8730 8760 9000 9125 9312 9344 9600 9700 10512 10950 11640 11680 12000 12125 12416 13140 13968 14016 14162 14400 14550 14600 15520 16000 16425 17460 17520 18000 18250 18624 19400 21024 21243 21825 21900 23280 23360 24000 24250 26280 27375 27936 28032 28324 28800 29100 29200 31040 32850 34920 35040 35405 36000 36375 36500 37248 38800 42048 42486 43650 43800 46560 46720 48000 48500 52560 54750 55872 56648 58200 58400 62080 63729 65700 69840 70080 70810 72000 72750 73000 77600 82125 84096 84972 87300 87600 93120 97000 105120 106215 109125 109500 111744 113296 116400 116800 127458 131400 135257 139680 140160 141620 144000 145500 146000 155200 164250 169944 174600 175200 177025 186240 194000 210240 212430 218250 219000 226592 232800 233600 254916 262800 270514 279360 283240 291000 292000 310400 318645 328500 339888 349200 350400 354050 388000 405771 420480 424860 436500 438000 453184 465600 509832 525600 531075 541028 558720 566480 582000 584000 637290 657000 676285 679776 698400 700800 708100 776000 811542 849720 873000 876000 885125 906368 931200 1019664 1051200 1062150 1082056 1132960 1164000 1168000 1217313 1274580 1314000 1352570 1359552 1396800 1416200 1552000 1593225 1623084 1699440 1746000 1752000 1770250 2028855 2039328 2102400 2124300 2164112 2265920 2328000 2434626 2549160 2628000 2655375 2705140 2719104 2793600 2832400 3186450 3246168 3381425 3398880 3492000 3504000 3540500 4057710 4078656 4248600 4328224 4531840 4656000 4869252 5098320 5256000 5310750 5410280 5664800 6086565 6372900 6492336 6762850 6797760 6984000 7081000 7966125 8115420 8157312 8497200 8656448 9738504 9873761 10144275 10196640 10512000 10621500 10820560 11329600 12173130 12745800 12984672 13119929 13525700 13595520 13968000 14162000 15932250 16230840 16907125 16994400 17312896 19477008 19747522 20288550 20393280 21243000 21641120 22659200 24346260 25491600 25969344 26239858 27051400 28324000 29621283 30432825 31864500 32461680 33814250 33988800 38954016 39359787 39495044 40577100 40786560 42486000 43282240 48692520 49368805 50721375 50983200 51938688 52479716 54102800 56648000 59242566 60865650 63729000 64923360 65599645 67628500 67977600 77908032 78719574 78990088 81154200 84972000 86564480 88863849 97385040 98737610 101442750 101966400 104959432 108205600 113296000 118079361 118485132 121731300 127458000 129846720 131199290 135257000 148106415 152164125 155816064 157439148 157980176 162308400 169944000 177727698 194770080 196798935 197475220 202885500 203932800 209918864 216411200 236158722 236970264 243462600 246844025 254916000 259693440 262398580 270514000 296212830 304328250 314878296 315960352 324616800 327998225 339888000 355455396 389540160 393597870 394950440 405771000 419837728 432822400 444319245 472317444 473940528 486925200 493688050 509832000 524797160 541028000 590396805 592425660 608656500 629756592 631920704 649233600 655996450 710910792 740532075 779080320 787195740 789900880 811542000 839675456 888638490 944634888 947881056 957754817 973850400 983994675 987376100 1019664000 1049594320 1082056000 1180793610 1184851320 1217313000 1234220125 1259513184 1263841408 1298467200 1311992900 1421821584 1481064150 1574391480 1579801760 1623084000 1639991125 1679350912 1777276980 1889269776 1895762112 1915509634 1947700800 1967989350 1974752200 2099188640 2164112000 2221596225 2361587220 2369702640 2434626000 2468440250 2519026368 2623985800 2843643168 2873264451 2951984025 2962128300 3148782960 3159603520 3246168000 3279982250 3554553960 3702660375 3778539552 3791524224 3831019268 3895401600 3935978700 3949504400 4198377280 4443192450 4723174440 4739405280 4788774085 4869252000 4919973375 4936880500 5038052736 5247971600 5687286336 5746528902 5903968050 5924256600 6297565920 6319207040 6492336000 6559964500 7109107920 7405320750 7557079104 7662038536 7871957400 7899008800 8396754560 8619793353 8886384900 9446348880 9478810560 9577548170 9738504000 9839946750 9873761000 10495943200 11107981125 11374572672 11493057804 11807936100 11848513200 12595131840 13119929000 14218215840 14366322255 14759920125 14810641500 15114158208 15324077072 15743914800 15798017600 17239586706 17772769800 18892697760 18957621120 19155096340 19477008000 19679893500 19747522000 20991886400 22215962250 22986115608 23615872200 23697026400 23943870425 25190263680 26239858000 28436431680 28732644510 29519840250 29621283000 30648154144 31487829600 31596035200 34479173412 35545539600 37785395520 38310192680 39359787000 39495044000 41983772800 43098966765 44431924500 45972231216 47231744400 47394052800 47887740850 52479716000 56872863360 57465289020 59039680500 59242566000 61296308288 62975659200 68958346824 71091079200 71831611275 75570791040 76620385360 78719574000 78990088000 86197933530 88863849000 91944462432 94463488800 94788105600 95775481700 104959432000 114930578040 118079361000 118485132000 119719352125 122592616576 125951318400 137916693648 142182158400 143663222550 153240770720 157439148000 157980176000 172395867060 177727698000 183888924864 188926977600 191550963400 209918864000 215494833825 229861156080 236158722000 236970264000 239438704250 275833387296 284364316800 287326445100 306481541440 314878296000 344791734120 355455396000 359158056375 367777849728 377853955200 383101926800 430989667650 459722312160 472317444000 473940528000 478877408500 551666774592 574652890200 612963082880 629756592000 689583468240 710910792000 718316112750 766203853600 861979335300 919444624320 944634888000 957754817000 1077474169125 1103333549184 1149305780400 1379166936480 1421821584000 1436632225500 1532407707200 1723958670600 1838889248640 1889269776000 1915509634000 2154948338250 2298611560800 2758333872960 2873264451000 3064815414400 3447917341200 3831019268000 4309896676500 4597223121600 5516667745920 5746528902000 6895834682400 7662038536000 8619793353000 9194446243200 11493057804000 13791669364800 15324077072000 17239586706000 22986115608000 27583338729600 34479173412000 45972231216000 68958346824000 137916693648000
• Sum of all divisors σ(n): 507257980014240
• Sum of proper divisors (its aliquot sum) s(n): 369341286366240
• 137916693648000 is an abundant number, because the sum of its proper divisors (369341286366240) is greater than itself. Its abundance is 231424592718240

Bases of 137916693648000

• Binary: 11111010110111100111011100010001001001010000000₂
• Hexadecimal: 0x7D6F3B889280
• Base-36: 1CVY1YHSW0

Squares and roots of 137916693648000

• 137916693648000 squared (137916693648000²) is 19021014386796283547904000000
• 137916693648000 cubed (137916693648000³) is 2623315414057983614261218500513792000000000
• The square root of 137916693648000 is 11743793.8353838623
• The cube root of 137916693648000 is 51666.0919279157

Scales and comparisons

• 137,916,693,648,000 seconds is equal to 4,385,324 years, 13 weeks, 1 day, 8 hours.
• To count from 1 to 137,916,693,648,000 would take you about ten million, nine hundred sixty-three thousand, three hundred ten 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 137916693648000 cubic inches would be around 4305.5 feet tall.

Recreational maths with 137916693648000

• 137916693648000 backwards is 000846396619731
• The number of decimal digits it has is: 15
• The sum of 137916693648000's digits is 63
• More coming soon!