137813104000
137,813,104,000 is an even composite number composed of seven prime numbers multiplied together.
137813104000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 137813104000:
27 × 53 × 11 × 13 × 29 × 31 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 29 × 31 × 67)See below for interesting mathematical facts about the number 137813104000 from the Numbermatics database.
Names of 137813104000
- Cardinal: 137813104000 can be written as One hundred thirty-seven billion, eight hundred thirteen million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.37813104 × 1011
Factors of 137813104000
Divisors of 137813104000
- Number of divisors d(n): 1024
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 29 31 32 40 44 50 52 55 58 62 64 65 67 80 88 100 104 110 116 124 125 128 130 134 143 145 155 160 176 200 208 220 232 248 250 260 268 275 286 290 310 319 320 325 335 341 352 377 400 403 416 440 464 496 500 520 536 550 572 580 620 638 640 650 670 682 704 715 725 737 754 775 800 806 832 871 880 899 928 992 1000 1040 1072 1100 1144 1160 1240 1276 1300 1340 1364 1375 1408 1430 1450 1474 1508 1550 1595 1600 1612 1625 1664 1675 1705 1742 1760 1798 1856 1885 1943 1984 2000 2015 2077 2080 2144 2200 2288 2320 2480 2552 2600 2680 2728 2750 2860 2900 2948 3016 3100 3190 3200 3224 3250 3350 3410 3484 3520 3575 3596 3625 3685 3712 3770 3875 3886 3968 4000 4030 4147 4154 4160 4288 4355 4400 4433 4495 4576 4640 4960 5104 5200 5360 5456 5500 5720 5800 5896 6032 6200 6380 6448 6500 6700 6820 6968 7040 7150 7192 7250 7370 7540 7750 7772 7975 8000 8060 8294 8308 8320 8375 8525 8576 8710 8800 8866 8990 9152 9280 9425 9581 9715 9889 9920 10075 10208 10385 10400 10720 10912 11000 11440 11600 11687 11792 12064 12400 12760 12896 13000 13400 13640 13936 14300 14384 14500 14740 15080 15500 15544 15950 16000 16120 16588 16616 16750 17050 17420 17600 17732 17875 17980 18304 18425 18560 18850 19162 19430 19778 19840 20150 20416 20735 20770 20800 21373 21440 21775 21824 22000 22165 22475 22847 22880 23200 23374 23584 24128 24800 25259 25520 25792 26000 26800 27001 27280 27872 28600 28768 29000 29480 30160 31000 31088 31900 32240 33176 33232 33500 34100 34840 35200 35464 35750 35960 36850 37700 38324 38860 39556 39875 40300 40832 41470 41540 41600 42625 42746 42880 43550 43648 44000 44330 44950 45694 45760 46400 46748 47125 47168 47905 48256 48575 49445 49600 50375 50518 51040 51584 51925 52000 53600 54002 54560 55744 57200 57536 58000 58435 58960 60233 60320 62000 62176 63800 64480 66352 66464 67000 68200 69680 70928 71500 71920 73700 75400 76648 77720 79112 79750 80600 82940 83080 85250 85492 87100 88000 88660 89900 91388 91520 92125 92800 93496 94250 94336 95810 97150 98890 99200 100750 101036 102080 103675 103850 104000 106865 107200 108004 108875 109120 110825 111488 112375 114235 114400 115072 116000 116870 117920 120466 120640 124000 124352 126295 127600 128557 128960 132704 132928 134000 135005 136400 139360 141856 143000 143840 147400 150800 153296 155440 158224 159500 161200 165880 166160 170500 170984 174200 176000 177320 179800 182776 184250 186992 188500 191620 194300 197780 201500 202072 204160 207350 207700 208000 213730 214400 216008 217750 218240 221650 224750 228470 228800 232000 233740 235840 239525 240932 241280 242875 247225 248000 248704 252590 255200 257114 257920 259625 265408 265856 268000 270010 272800 277849 278720 283712 286000 287680 292175 294800 297011 301165 301600 306592 310880 316448 319000 322400 331760 332320 341000 341968 348400 354640 359600 365552 368500 373984 377000 383240 388600 395560 403000 404144 414700 415400 427460 432016 435500 443300 449500 456940 457600 464000 467480 471680 479050 481864 485750 494450 496000 505180 510400 514228 518375 519250 530816 534325 536000 540020 545600 554125 555698 557440 567424 571175 572000 575360 584350 589600 594022 602330 603200 613184 621760 631475 632896 638000 642785 644800 662563 663520 664640 675025 682000 683936 696800 709280 719200 731104 737000 747968 754000 766480 777200 783029 791120 806000 808288 829400 830800 854920 864032 871000 886600 899000 913880 934960 958100 963728 971500 988900 1010360 1020800 1028456 1036750 1038500 1068650 1072000 1080040 1091200 1108250 1111396 1142350 1144000 1168700 1179200 1188044 1197625 1204660 1206400 1226368 1236125 1243520 1262950 1265792 1276000 1285570 1289600 1325126 1327040 1329280 1350050 1364000 1367872 1389245 1393600 1418560 1438400 1460875 1462208 1474000 1485055 1495936 1505825 1508000 1532960 1554400 1566058 1582240 1612000 1616576 1658800 1661600 1709840 1728064 1742000 1773200 1798000 1827760 1869920 1916200 1927456 1943000 1977800 2020720 2056912 2073500 2077000 2137300 2160080 2216500 2222792 2284700 2288000 2337400 2358400 2376088 2395250 2409320 2472250 2525900 2552000 2571140 2650252 2654080 2671625 2700100 2728000 2735744 2778490 2787200 2837120 2855875 2876800 2921750 2924416 2948000 2970110 3011650 3016000 3065920 3108800 3132116 3157375 3164480 3213925 3224000 3233152 3312815 3317600 3323200 3375125 3419680 3456128 3484000 3546400 3596000 3655520 3739840 3832400 3854912 3886000 3915145 3955600 4041440 4113824 4147000 4154000 4274600 4320160 4433000 4445584 4569400 4674800 4752176 4790500 4818640 4944500 5051800 5104000 5142280 5300504 5343250 5400200 5456000 5556980 5711750 5843500 5896000 5940220 6023300 6032000 6131840 6217600 6264232 6314750 6328960 6427850 6448000 6625630 6635200 6646400 6750250 6839360 6946225 6968000 7092800 7192000 7311040 7425275 7479680 7529125 7664800 7709824 7772000 7830290 7911200 8082880 8227648 8294000 8308000 8549200 8613319 8640320 8866000 8891168 9138800 9349600 9504352 9581000 9637280 9889000 10103600 10284560 10601008 10686500 10800400 11113960 11423500 11687000 11792000 11880440 12046600 12528464 12629500 12855700 13251260 13270400 13500500 13678720 13892450 13936000 14185600 14384000 14622080 14850550 15058250 15329600 15544000 15660580 15822400 16069625 16165760 16455296 16564075 16588000 16616000 17098400 17226638 17280640 17732000 17782336 18277600 18699200 19008704 19162000 19274560 19575725 19778000 20207200 20569120 21202016 21373000 21600800 22227920 22847000 23374000 23760880 24093200 25056928 25259000 25711400 26502520 27001000 27784900 29701100 30116500 30659200 31088000 31321160 31644800 32139250 33128150 33176000 33232000 34196800 34453276 34731125 35464000 35564672 36555200 37126375 37398400 38017408 38324000 38549120 39151450 39556000 40414400 41138240 42404032 42746000 43066595 43201600 44455840 45694000 46748000 47521760 48186400 50113856 50518000 51422800 53005040 54002000 55569800 59402200 60233000 62642320 64278500 66256300 66352000 68393600 68906552 69462250 70928000 73110400 74252750 76648000 78302900 79112000 80828800 82276480 82820375 84808064 85492000 86133190 86403200 88911680 91388000 93496000 95043520 96372800 97878625 100227712 101036000 102845600 106010080 108004000 111139600 118804400 120466000 125284640 128557000 132512600 137813104 138924500 148505500 153296000 156605800 158224000 165640750 170984000 172266380 177823360 182776000 186992000 190087040 192745600 195757250 202072000 205691200 212020160 215332975 216008000 222279200 237608800 240932000 250569280 257114000 265025200 275626208 277849000 297011000 313211600 331281500 341968000 344532760 365552000 391514500 404144000 411382400 424040320 430665950 432016000 444558400 475217600 481864000 501138560 514228000 530050400 551252416 555698000 594022000 626423200 662563000 689065520 783029000 861331900 889116800 950435200 963728000 1028456000 1060100800 1076664875 1102504832 1111396000 1188044000 1252846400 1325126000 1378131040 1566058000 1722663800 2056912000 2120201600 2153329750 2222792000 2376088000 2505692800 2650252000 2756262080 3132116000 3445327600 4306659500 4445584000 4752176000 5300504000 5512524160 6264232000 6890655200 8613319000 10601008000 12528464000 13781310400 17226638000 27562620800 34453276000 68906552000 137813104000
- Sum of all divisors σ(n): 436268851200
- Sum of proper divisors (its aliquot sum) s(n): 298455747200
- 137813104000 is an abundant number, because the sum of its proper divisors (298455747200) is greater than itself. Its abundance is 160642643200
Bases of 137813104000
- Binary: 100000000101100100110100010101100000002
- Hexadecimal: 0x20164D1580
- Base-36: 1RB6D3LS
Squares and roots of 137813104000
- 137813104000 squared (1378131040002) is 18992451634114816000000
- 137813104000 cubed (1378131040003) is 2617408712267235085348864000000000
-
The
square root of 137813104000 is 371231.8736315619 -
The
cube root of 137813104000 is 5165.3153168341
Scales and comparisons
How big is 137813104000?- 137,813,104,000 seconds is equal to 4,382 years, 1 week, 4 days, 1 hour, 46 minutes, 40 seconds.
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To count from 1 to 137,813,104,000 would take you about eight thousand, seven hundred sixty-four 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 137813104000 cubic inches would be around 430.4 feet tall.
Recreational maths with 137813104000
- 137813104000 backwards is 000401318731
- The number of decimal digits it has is: 12
- The sum of 137813104000's digits is 28
- More coming soon!
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The information we have on file for 137813104000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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