137964672000

Names of 137964672000

• Cardinal: 137964672000 can be written as One hundred thirty-seven billion, nine hundred sixty-four million, six hundred seventy-two thousand.

Scientific notation

• Scientific notation: 1.37964672 × 10¹¹

Factors of 137964672000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 201

Divisors of 137964672000

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 41 45 46 48 50 60 64 69 72 75 80 82 90 92 96 100 115 120 123 125 127 128 138 144 150 160 164 180 184 192 200 205 207 225 230 240 246 250 254 256 276 288 300 320 328 345 360 368 369 375 381 384 400 410 414 450 460 480 492 500 508 512 552 575 576 600 615 635 640 656 690 720 736 738 750 762 768 800 820 828 900 920 943 960 984 1000 1016 1024 1025 1035 1104 1125 1143 1150 1152 1200 1230 1270 1280 1312 1380 1440 1472 1476 1500 1524 1536 1600 1640 1656 1725 1800 1840 1845 1886 1905 1920 1968 2000 2032 2050 2070 2208 2250 2286 2300 2304 2400 2460 2540 2560 2624 2760 2829 2875 2880 2921 2944 2952 3000 3048 3072 3075 3175 3200 3280 3312 3450 3600 3680 3690 3772 3810 3840 3936 4000 4064 4100 4140 4416 4500 4572 4600 4608 4715 4800 4920 5080 5120 5125 5175 5207 5248 5520 5658 5715 5750 5760 5842 5888 5904 6000 6096 6150 6350 6400 6560 6624 6900 7200 7360 7380 7544 7620 7680 7872 8000 8128 8200 8280 8487 8625 8763 8832 9000 9144 9200 9216 9225 9430 9525 9600 9840 10160 10250 10350 10414 10496 11040 11316 11430 11500 11520 11684 11776 11808 12000 12192 12300 12700 12800 13120 13248 13800 14145 14400 14605 14720 14760 15088 15240 15360 15375 15621 15744 15875 16000 16256 16400 16560 16974 17250 17526 17664 18000 18288 18400 18450 18860 19050 19200 19680 20320 20500 20700 20828 20992 22080 22632 22860 23000 23040 23368 23552 23575 23616 24000 24384 24600 25400 25600 25875 26035 26240 26289 26496 27600 28290 28575 28800 29210 29440 29520 30176 30480 30750 31242 31488 31750 32000 32512 32800 33120 33948 34500 35052 35328 36000 36576 36800 36900 37720 38100 38400 39360 40640 41000 41400 41656 41984 42435 43815 44160 45264 45720 46000 46080 46125 46736 46863 47150 47232 47625 48000 48768 49200 50800 51750 52070 52480 52578 52992 55200 56580 57150 57600 58420 58880 59040 60352 60960 61500 62484 62976 63500 64000 65024 65600 66240 67896 69000 70104 70656 70725 72000 73025 73152 73600 73800 75440 76200 76800 78105 78720 81280 82000 82800 83312 84870 87630 88320 90528 91440 92000 92250 93472 93726 94300 94464 95250 96000 97536 98400 101600 103500 104140 104960 105156 105984 110400 113160 114300 115200 116840 117760 117875 118080 119761 120704 121920 123000 124968 125952 127000 128000 130048 130175 131200 131445 132480 135792 138000 140208 141450 142875 144000 146050 146304 147200 147600 150880 152400 156210 157440 162560 164000 165600 166624 169740 175260 176640 181056 182880 184000 184500 186944 187452 188600 188928 190500 192000 195072 196800 203200 207000 208280 209920 210312 211968 212175 219075 220800 226320 228600 230400 233680 234315 235750 236160 239522 241408 243840 246000 249936 254000 260350 262400 262890 264960 271584 276000 280416 282900 285750 288000 292100 292608 294400 295200 301760 304800 312420 314880 325120 328000 331200 333248 339480 350520 353280 353625 359283 362112 365125 365760 368000 369000 373888 374904 377200 377856 381000 384000 390144 390525 393600 406400 414000 416560 420624 424350 438150 441600 452640 457200 467360 468630 471500 472320 479044 482816 487680 492000 499872 508000 520700 524800 525780 529920 543168 552000 560832 565800 571500 576000 584200 585216 588800 590400 598805 603520 609600 624840 629760 650240 650875 656000 657225 662400 666496 678960 701040 707250 718566 724224 730250 731520 736000 738000 747776 749808 754400 762000 781050 787200 812800 828000 833120 841248 848700 876300 883200 905280 914400 934720 937260 943000 944640 958088 965632 975360 984000 999744 1016000 1041400 1049600 1051560 1059840 1060875 1077849 1086336 1095375 1104000 1121664 1131600 1143000 1152000 1168400 1170432 1171575 1180800 1197610 1207040 1219200 1249680 1301750 1312000 1314450 1324800 1332992 1357920 1402080 1414500 1437132 1448448 1460500 1463040 1472000 1476000 1495552 1499616 1508800 1524000 1562100 1574400 1625600 1656000 1666240 1682496 1697400 1752600 1766400 1796415 1810560 1828800 1869440 1874520 1886000 1889280 1916176 1950720 1952625 1968000 1999488 2032000 2082800 2103120 2121750 2155698 2172672 2190750 2208000 2243328 2263200 2286000 2336800 2343150 2361600 2395220 2414080 2438400 2499360 2603500 2624000 2628900 2649600 2665984 2715840 2804160 2829000 2874264 2896896 2921000 2926080 2944000 2952000 2991104 2994025 2999232 3017600 3048000 3124200 3148800 3251200 3286125 3312000 3332480 3364992 3394800 3505200 3592830 3621120 3657600 3738880 3749040 3772000 3832352 3905250 3936000 3998976 4064000 4165600 4206240 4243500 4311396 4345344 4381500 4416000 4486656 4526400 4572000 4673600 4686300 4723200 4790440 4828160 4876800 4998720 5207000 5248000 5257800 5299200 5331968 5389245 5431680 5608320 5658000 5748528 5842000 5852160 5857875 5904000 5988050 5998464 6035200 6096000 6248400 6572250 6624000 6664960 6729984 6789600 7010400 7185660 7242240 7315200 7477760 7498080 7544000 7664704 7810500 7872000 7997952 8128000 8331200 8412480 8487000 8622792 8690688 8763000 8832000 8973312 8982075 9052800 9144000 9347200 9372600 9446400 9580880 9753600 9997440 10414000 10515600 10778490 10863360 11216640 11316000 11497056 11684000 11715750 11808000 11976100 11996928 12070400 12192000 12496800 13144500 13248000 13329920 13459968 13579200 14020800 14371320 14484480 14630400 14955520 14970125 14996160 15088000 15329408 15621000 15744000 15995904 16256000 16662400 16824960 16974000 17245584 17526000 17964150 18105600 18288000 18694400 18745200 19161760 19994880 20828000 21031200 21556980 21726720 22433280 22632000 22994112 23368000 23431500 23616000 23952200 23993856 24140800 24384000 24993600 26289000 26496000 26659840 26919936 26946225 27158400 28041600 28742640 29260800 29940250 29992320 30176000 30658816 31242000 33324800 33649920 33948000 34491168 35052000 35928300 36211200 36576000 37388800 37490400 38323520 39989760 41656000 42062400 43113960 43453440 44866560 44910375 45264000 45988224 46736000 46863000 47232000 47904400 47987712 48768000 49987200 52578000 53892450 54316800 56083200 57485280 59880500 59984640 60352000 61317632 62484000 66649600 67299840 67896000 68982336 70104000 71856600 72422400 73152000 74777600 74980800 76647040 79979520 83312000 84124800 86227920 89820750 90528000 91976448 93472000 93726000 95808800 99974400 105156000 107784900 108633600 112166400 114970560 119761000 119969280 120704000 122635264 124968000 133299200 134599680 134731125 135792000 137964672 140208000 143713200 146304000 149961600 153294080 166624000 168249600 172455840 179641500 181056000 183952896 186944000 187452000 191617600 199948800 210312000 215569800 217267200 224332800 229941120 239522000 239938560 249936000 269462250 271584000 275929344 280416000 287426400 299923200 306588160 333248000 336499200 344911680 359283000 362112000 367905792 373888000 374904000 383235200 399897600 420624000 431139600 459882240 479044000 499872000 538924500 543168000 551858688 560832000 574852800 599846400 613176320 666496000 672998400 689823360 718566000 749808000 766470400 841248000 862279200 919764480 958088000 999744000 1077849000 1086336000 1103717376 1121664000 1149705600 1199692800 1379646720 1437132000 1499616000 1532940800 1682496000 1724558400 1839528960 1916176000 1999488000 2155698000 2299411200 2759293440 2874264000 2999232000 3065881600 3364992000 3449116800 3832352000 4311396000 4598822400 5518586880 5748528000 5998464000 6898233600 7664704000 8622792000 9197644800 11497056000 13796467200 15329408000 17245584000 22994112000 27592934400 34491168000 45988224000 68982336000 137964672000
• Sum of all divisors σ(n): 535619395584
• Sum of proper divisors (its aliquot sum) s(n): 397654723584
• 137964672000 is an abundant number, because the sum of its proper divisors (397654723584) is greater than itself. Its abundance is 259690051584

Bases of 137964672000

• Binary: 10000000011111010101011101010000000000₂
• Hexadecimal: 0x201F55D400
• Base-36: 1RDOLQ80

Squares and roots of 137964672000

• 137964672000 squared (137964672000²) is 19034250720067584000000
• 137964672000 cubed (137964672000³) is 2626054157359888044392448000000000
• The square root of 137964672000 is 371435.9594869619
• The cube root of 137964672000 is 5167.2082419923

Scales and comparisons

• 137,964,672,000 seconds is equal to 4,386 years, 44 weeks, 1 day, 8 hours.
• To count from 1 to 137,964,672,000 would take you about eight thousand, seven hundred seventy-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 137964672000 cubic inches would be around 430.6 feet tall.

Recreational maths with 137964672000

• 137964672000 backwards is 000276469731
• 137964672000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137964672000's digits is 45
• More coming soon!