1338431664000
1,338,431,664,000 is an even composite number composed of seven prime numbers multiplied together.
1338431664000 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 1338431664000:
27 × 3 × 53 × 29 × 67 × 113 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 67 × 113 × 127)See below for interesting mathematical facts about the number 1338431664000 from the Numbermatics database.
Names of 1338431664000
- Cardinal: 1338431664000 can be written as One trillion, three hundred thirty-eight billion, four hundred thirty-one million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.338431664 × 1012
Factors of 1338431664000
Divisors of 1338431664000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 67 75 80 87 96 100 113 116 120 125 127 128 134 145 150 160 174 192 200 201 226 232 240 250 254 268 290 300 320 335 339 348 375 381 384 400 402 435 452 464 480 500 508 536 565 580 600 635 640 670 678 696 725 750 762 800 804 870 904 928 960 1000 1005 1016 1072 1130 1160 1200 1270 1340 1356 1392 1450 1500 1524 1600 1608 1675 1695 1740 1808 1856 1905 1920 1943 2000 2010 2032 2144 2175 2260 2320 2400 2540 2680 2712 2784 2825 2900 3000 3048 3175 3200 3216 3277 3350 3390 3480 3616 3625 3683 3712 3810 3886 4000 4020 4064 4288 4350 4520 4640 4800 5025 5080 5360 5424 5568 5650 5800 5829 6000 6096 6350 6432 6554 6700 6780 6960 7232 7250 7366 7571 7620 7772 8000 8040 8128 8375 8475 8509 8576 8700 9040 9280 9525 9600 9715 9831 10050 10160 10720 10848 10875 11049 11136 11300 11600 11658 12000 12192 12700 12864 13108 13400 13560 13920 14125 14351 14464 14500 14732 15142 15240 15544 15875 16000 16080 16256 16385 16750 16950 17018 17400 18080 18415 18560 19050 19430 19662 20100 20320 21440 21696 21750 22098 22600 22713 23200 23316 24000 24384 25125 25400 25527 25728 26216 26800 27120 27840 28250 28702 29000 29145 29464 30284 30480 31088 31750 32160 32770 33500 33900 34036 34800 36160 36830 37855 38100 38860 39324 40200 40640 42375 42545 42880 43053 43392 43500 44196 45200 45426 46400 46632 47625 48000 48575 48768 49155 50250 50800 51054 52432 53600 54240 55245 55680 56500 57404 58000 58290 58928 60568 60960 62176 63500 64320 65540 67000 67800 68072 69600 71755 72320 73660 75710 76200 77720 78648 80400 81280 81925 84750 85090 86106 87000 88392 90400 90852 92075 92800 93264 95250 97150 98310 100500 101600 102108 104864 107200 108480 110490 113000 113565 114808 116000 116580 117856 121136 121920 124352 127000 127635 128640 131080 134000 135600 136144 139200 143510 145725 147320 151420 152400 155440 157296 160800 163850 169500 170180 172212 174000 176784 180800 181704 184150 186528 189275 190500 194300 196620 201000 203200 204216 209728 212725 214400 215265 216960 219559 220980 226000 227130 229616 232000 233160 235712 242272 242875 243840 245775 246761 248704 254000 255270 262160 268000 271200 272288 276225 278400 287020 291450 294640 302840 304800 310880 314592 321600 327700 339000 340360 344424 348000 353568 358775 361600 363408 368300 373056 378550 381000 388600 393240 402000 406400 408432 409625 416179 419456 425450 430530 439118 441960 452000 454260 459232 460375 464000 466320 471424 484544 485750 491550 493522 508000 510540 524320 536000 542400 544576 552450 567825 574040 582900 589280 605680 609600 621760 629184 638175 643200 655400 658677 678000 680720 688848 696000 707136 717550 726816 728625 736600 740283 746112 757100 762000 777200 786480 804000 816864 819250 832358 850900 861060 878236 883920 904000 908520 918464 920750 932640 946375 961517 969088 971500 983100 987044 1016000 1021080 1048640 1063625 1072000 1076325 1084800 1089152 1097795 1104900 1135650 1148080 1165800 1178560 1211360 1219200 1228875 1233805 1243520 1248537 1258368 1276350 1310800 1317354 1356000 1361440 1377696 1381125 1392000 1414272 1435100 1453632 1457250 1473200 1480566 1514200 1524000 1554400 1572960 1608000 1633728 1638500 1664716 1701800 1722120 1756472 1767840 1793875 1808000 1817040 1836928 1841500 1865280 1892750 1923034 1943000 1966200 1974088 2032000 2042160 2080895 2097280 2127250 2152650 2195590 2209800 2271300 2296160 2331600 2357120 2422720 2457750 2467610 2497074 2552700 2621600 2634708 2712000 2722880 2755392 2762250 2839125 2870200 2884551 2907264 2914500 2946400 2961132 3028400 3048000 3108800 3145920 3190875 3216000 3267456 3277000 3293385 3329432 3403600 3444240 3512944 3535680 3587750 3634080 3683000 3701415 3730560 3785500 3846068 3886000 3932400 3948176 4084320 4161790 4254500 4305300 4391180 4419600 4542600 4592320 4663200 4807585 4845440 4915500 4935220 4994148 5105400 5243200 5269416 5381625 5424000 5445760 5488975 5510784 5524500 5678250 5740400 5769102 5829000 5892800 5922264 6056800 6096000 6169025 6217600 6242685 6291840 6381750 6554000 6586770 6658864 6807200 6888480 7025888 7071360 7175500 7268160 7366000 7402830 7571000 7692136 7772000 7864800 7896352 8168640 8323580 8509000 8610600 8782360 8839200 9085200 9184640 9326400 9615170 9831000 9870440 9988296 10210800 10404475 10486400 10538832 10763250 10977950 11049000 11356500 11480800 11538204 11658000 11785600 11844528 12113600 12338050 12485370 12763500 13108000 13173540 13317728 13614400 13776960 14051776 14351000 14422755 14536320 14732000 14805660 15142000 15384272 15544000 15729600 15792704 16337280 16466925 16647160 17018000 17221200 17564720 17678400 18170400 18507075 18652800 19230340 19662000 19740880 19976592 20421600 20808950 21077664 21526500 21955900 22098000 22713000 22961600 23076408 23316000 23689056 24037925 24227200 24676100 24970740 25527000 26216000 26347080 26635456 27228800 27444875 27553920 27883993 28103552 28702000 28845510 29464000 29611320 30284000 30768544 30845125 31088000 31213425 31459200 31585408 32933850 33294320 34036000 34442400 35129440 35356800 36340800 37014150 38460680 39324000 39481760 39953184 40843200 41617900 42155328 43053000 43911800 44196000 45426000 45923200 46152816 46632000 47378112 48075850 49352200 49941480 51054000 52022375 52432000 52694160 53270912 54889750 55767986 57404000 57691020 58928000 59222640 60568000 61537088 61690250 62426850 65867700 66588640 68072000 68884800 70258880 72113775 72681600 74028300 76921360 78648000 78963520 79906368 81686400 82334625 83235800 83651979 84310656 86106000 87823600 88392000 90852000 92305632 92535375 93264000 94756224 96151700 98704400 99882960 102108000 104044750 105388320 109779500 111535972 114808000 115382040 118445280 120189625 121136000 123074176 123380500 124853700 131735400 133177280 136144000 137769600 139419965 140517760 144227550 148056600 153842720 156067125 157296000 157927040 159812736 164669250 166471600 167303958 172212000 175647200 176784000 181704000 184611264 185070750 192303400 197408800 199765920 204216000 208089500 210776640 219559000 223071944 229616000 230764080 236890560 240379250 246761000 249707400 263470800 266354560 278839930 288455100 296113200 307685440 312134250 329338500 332943200 334607916 344424000 351294400 360568875 363408000 369222528 370141500 384606800 394817600 399531840 408432000 416179000 418259895 421553280 439118000 446143888 461528160 473781120 480758500 493522000 499414800 526941600 557679860 576910200 592226400 615370880 624268500 658677000 665886400 669215832 688848000 697099825 702588800 721137750 740283000 769213600 789635200 799063680 832358000 836519790 878236000 892287776 923056320 961517000 987044000 998829600 1053883200 1115359720 1153820400 1184452800 1248537000 1317354000 1331772800 1338431664 1394199650 1442275500 1480566000 1538427200 1664716000 1673039580 1756472000 1784575552 1846112640 1923034000 1974088000 1997659200 2091299475 2107766400 2230719440 2307640800 2368905600 2497074000 2634708000 2676863328 2788399300 2884551000 2961132000 3076854400 3329432000 3346079160 3485499125 3512944000 3569151104 3846068000 3948176000 3995318400 4182598950 4461438880 4615281600 4994148000 5269416000 5353726656 5576798600 5769102000 5922264000 6658864000 6692158320 6970998250 7692136000 8365197900 8922877760 9230563200 9988296000 10456497375 10538832000 10707453312 11153597200 11538204000 11844528000 13384316640 13941996500 15384272000 16730395800 17845755520 19976592000 20912994750 22307194400 23076408000 26768633280 27883993000 33460791600 41825989500 44614388800 46152816000 53537266560 55767986000 66921583200 83651979000 89228777600 111535972000 133843166400 167303958000 223071944000 267686332800 334607916000 446143888000 669215832000 1338431664000
- Sum of all divisors σ(n): 4736633241600
- Sum of proper divisors (its aliquot sum) s(n): 3398201577600
- 1338431664000 is an abundant number, because the sum of its proper divisors (3398201577600) is greater than itself. Its abundance is 2059769913600
Bases of 1338431664000
- Binary: 100110111101000001011111001101111100000002
- Hexadecimal: 0x137A0BE6F80
- Base-36: H2V7NLHC
Squares and roots of 1338431664000
- 1338431664000 squared (13384316640002) is 1791399319197808896000000
- 1338431664000 cubed (13384316640003) is 2397665571682390505827282944000000000
-
The
square root of 1338431664000 is 1156906.0739748927 -
The
cube root of 1338431664000 is 11020.4349177223
Scales and comparisons
How big is 1338431664000?- 1,338,431,664,000 seconds is equal to 42,557 years, 51 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 1,338,431,664,000 would take you about one hundred six thousand, three hundred ninety-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 1338431664000 cubic inches would be around 918.4 feet tall.
Recreational maths with 1338431664000
- 1338431664000 backwards is 0004661348331
- The number of decimal digits it has is: 13
- The sum of 1338431664000's digits is 39
- More coming soon!
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The information we have on file for 1338431664000 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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