6137148144000
6,137,148,144,000 is an even composite number composed of six prime numbers multiplied together.
6137148144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 6137148144000:
27 × 3 × 53 × 23 × 532 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 23 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 6137148144000 from the Numbermatics database.
Names of 6137148144000
- Cardinal: 6137148144000 can be written as Six trillion, one hundred thirty-seven billion, one hundred forty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 6.137148144 × 1012
Factors of 6137148144000
Divisors of 6137148144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 53 60 64 69 75 80 92 96 100 106 115 120 125 128 138 150 159 160 184 192 200 212 230 240 250 265 276 300 318 320 345 368 375 384 400 424 460 480 500 530 552 575 600 636 640 690 736 750 795 800 848 920 960 1000 1060 1104 1150 1200 1219 1272 1325 1380 1472 1500 1590 1600 1696 1725 1840 1920 1979 2000 2120 2208 2300 2400 2438 2544 2650 2760 2809 2875 2944 3000 3180 3200 3392 3450 3657 3680 3958 3975 4000 4240 4416 4600 4800 4876 5088 5300 5520 5618 5750 5937 6000 6095 6360 6625 6784 6900 7314 7360 7916 7950 8000 8427 8480 8625 8832 9200 9600 9752 9895 10176 10600 11040 11236 11500 11874 12000 12190 12720 13250 13800 14045 14628 14720 15832 15900 16000 16854 16960 17250 18285 18400 19504 19790 19875 20352 21200 22080 22472 23000 23748 24000 24380 25440 26500 27600 28090 29256 29685 30475 31664 31800 33708 33920 34500 36570 36800 39008 39580 39750 42135 42400 44160 44944 45517 46000 47496 48000 48760 49475 50880 53000 55200 56180 58512 59370 60950 63328 63600 64607 67416 69000 70225 73140 73600 78016 79160 79500 84270 84800 89888 91034 91425 92000 94992 97520 98950 101760 104887 106000 110400 112360 117024 118740 121900 126656 127200 129214 134832 136551 138000 140450 146280 148425 152375 156032 158320 159000 168540 169600 179776 182068 182850 184000 189984 193821 195040 197900 209774 210675 212000 220800 224720 227585 234048 237480 243800 247375 253312 254400 258428 269664 273102 276000 280900 292560 296850 304750 314661 316640 318000 323035 337080 351125 359552 364136 365700 368000 379968 387642 390080 395800 419548 421350 424000 449440 455170 457125 468096 474960 487600 494750 508800 516856 524435 539328 546204 552000 561800 585120 593700 609500 629322 633280 636000 646070 674160 682755 702250 728272 731400 742125 759936 775284 780160 791600 839096 842700 848000 898880 910340 914250 949920 969105 975200 989500 1033712 1048870 1053375 1078656 1092408 1104000 1123600 1137925 1170240 1187400 1219000 1258644 1266560 1272000 1292140 1348320 1365510 1404500 1456544 1462800 1484250 1550568 1573305 1583200 1615175 1678192 1685400 1797760 1820680 1828500 1899840 1938210 1950400 1979000 2067424 2097740 2106750 2184816 2247200 2275850 2340480 2374800 2412401 2438000 2517288 2544000 2584280 2622175 2696640 2731020 2809000 2913088 2925600 2968500 3101136 3146610 3166400 3230350 3356384 3370800 3413775 3641360 3657000 3799680 3876420 3900800 3958000 4134848 4195480 4213500 4369632 4494400 4551700 4749600 4824802 4845525 4876000 5034576 5168560 5244350 5393280 5462040 5559011 5618000 5689625 5826176 5851200 5937000 6202272 6293220 6332800 6460700 6712768 6741600 6827550 7237203 7282720 7314000 7752840 7866525 7916000 8075875 8269696 8390960 8427000 8739264 8988800 9103400 9499200 9649604 9691050 9752000 10069152 10337120 10488700 10924080 11118022 11236000 11379250 11702400 11874000 12062005 12404544 12586440 12921400 13110875 13425536 13483200 13655100 14474406 14565440 14628000 15505680 15733050 15832000 16151750 16677033 16781920 16854000 17068875 17478528 18206800 18998400 19299208 19382100 19504000 20138304 20674240 20977400 21848160 22236044 22472000 22758500 23748000 24124010 24227625 24809088 25172880 25842800 26221750 26966400 27310200 27795055 28948812 29130880 29256000 31011360 31466100 31664000 32303500 33354066 33563840 33708000 34137750 36186015 36413600 38598416 38764200 39332625 40276608 41348480 41954800 43696320 44472088 44944000 45517000 47496000 48248020 48455250 50345760 51685600 52443500 54620400 55590110 57897624 58512000 60310025 62022720 62932200 64607000 66708132 67127680 67416000 68275500 72372030 72827200 77196832 77528400 78665250 83385165 83909600 87392640 88944176 91034000 94992000 96496040 96910500 100691520 103371200 104887000 109240800 111180220 115795248 120620050 124045440 125864400 127857253 129214000 133416264 134832000 136551000 138975275 144744060 145654400 154393664 155056800 157330500 166770330 167819200 177888352 180930075 182068000 192992080 193821000 201383040 206742400 209774000 218481600 222360440 231590496 241240100 251728800 255714506 258428000 266832528 273102000 277950550 289488120 301550125 308787328 310113600 314661000 333540660 335638400 355776704 361860150 364136000 383571759 385984160 387642000 416925825 419548000 436963200 444720880 463180992 482480200 503457600 511429012 516856000 533665056 546204000 555901100 578976240 603100250 620227200 629322000 639286265 667081320 694876375 711553408 723720300 728272000 767143518 771968320 775284000 833851650 839096000 889441760 904650375 926361984 964960400 1006915200 1022858024 1033712000 1067330112 1092408000 1111802200 1157952480 1206200500 1258644000 1278572530 1334162640 1389752750 1447440600 1534287036 1543936640 1550568000 1667703300 1678192000 1778883520 1809300750 1917858795 1929920800 2045716048 2084629125 2134660224 2184816000 2223604400 2315904960 2412401000 2517288000 2557145060 2668325280 2779505500 2894881200 3068574072 3101136000 3196431325 3335406600 3557767040 3618601500 3835717590 3859841600 4091432096 4169258250 4447208800 4631809920 4824802000 5034576000 5114290120 5336650560 5559011000 5789762400 6137148144 6392862650 6670813200 7237203000 7671435180 7719683200 8182864192 8338516500 8894417600 9589293975 9649604000 10228580240 10673301120 11118022000 11579524800 12274296288 12785725300 13341626400 14474406000 15342870360 15982156625 16365728384 16677033000 17788835200 19178587950 19299208000 20457160480 22236044000 23159049600 24548592576 25571450600 26683252800 28948812000 30685740720 31964313250 33354066000 38357175900 38598416000 40914320960 44472088000 47946469875 49097185152 51142901200 53366505600 57897624000 61371481440 63928626500 66708132000 76714351800 81828641920 88944176000 95892939750 102285802400 115795248000 122742962880 127857253000 133416264000 153428703600 191785879500 204571604800 245485925760 255714506000 266832528000 306857407200 383571759000 409143209600 511429012000 613714814400 767143518000 1022858024000 1227429628800 1534287036000 2045716048000 3068574072000 6137148144000
- Sum of all divisors σ(n): 21648237811200
- Sum of proper divisors (its aliquot sum) s(n): 15511089667200
- 6137148144000 is an abundant number, because the sum of its proper divisors (15511089667200) is greater than itself. Its abundance is 9373941523200
Bases of 6137148144000
- Binary: 10110010100111010101000100011111001100000002
- Hexadecimal: 0x594EA88F980
- Base-36: 26BD7JQTC
Squares and roots of 6137148144000
- 6137148144000 squared (61371481440002) is 37664587341402644736000000
- 6137148144000 cubed (61371481440003) is 231153152296815135498233769984000000000
-
The
square root of 6137148144000 is 2477326.8141284871 -
The
cube root of 6137148144000 is 18308.6168264721
Scales and comparisons
How big is 6137148144000?- 6,137,148,144,000 seconds is equal to 195,142 years, 17 weeks, 5 hours, 20 minutes.
-
To count from 1 to 6,137,148,144,000 would take you about four hundred eighty-seven thousand, eight hundred fifty-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 6137148144000 cubic inches would be around 1525.7 feet tall.
Recreational maths with 6137148144000
- 6137148144000 backwards is 0004418417316
- The number of decimal digits it has is: 13
- The sum of 6137148144000's digits is 39
- More coming soon!
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