137830972608000
137,830,972,608,000 is an even composite number composed of six prime numbers multiplied together.
137830972608000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137830972608000:
29 × 32 × 53 × 72 × 43 × 3372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 43 × 337 × 337)See below for interesting mathematical facts about the number 137830972608000 from the Numbermatics database.
Names of 137830972608000
- Cardinal: 137830972608000 can be written as One hundred thirty-seven trillion, eight hundred thirty billion, nine hundred seventy-two million, six hundred eight thousand.
Scientific notation
- Scientific notation: 1.37830972608 × 1014
Factors of 137830972608000
Divisors of 137830972608000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 43 45 48 49 50 56 60 63 64 70 72 75 80 84 86 90 96 98 100 105 112 120 125 126 128 129 140 144 147 150 160 168 172 175 180 192 196 200 210 215 224 225 240 245 250 252 256 258 280 288 294 300 301 315 320 336 337 344 350 360 375 384 387 392 400 420 430 441 448 450 480 490 500 504 512 516 525 560 576 588 600 602 630 640 645 672 674 688 700 720 735 750 768 774 784 800 840 860 875 882 896 900 903 960 980 1000 1008 1011 1032 1050 1075 1120 1125 1152 1176 1200 1204 1225 1260 1280 1290 1344 1348 1376 1400 1440 1470 1500 1505 1536 1548 1568 1575 1600 1680 1685 1720 1750 1764 1792 1800 1806 1920 1935 1960 2000 2016 2022 2064 2100 2107 2150 2205 2240 2250 2304 2352 2359 2400 2408 2450 2520 2560 2580 2625 2688 2696 2709 2752 2800 2880 2940 3000 3010 3033 3096 3136 3150 3200 3225 3360 3370 3440 3500 3528 3584 3600 3612 3675 3840 3870 3920 4000 4032 4044 4128 4200 4214 4300 4410 4480 4500 4515 4608 4704 4718 4800 4816 4900 5040 5055 5160 5250 5375 5376 5392 5418 5504 5600 5760 5880 6000 6020 6066 6125 6192 6272 6300 6321 6400 6450 6720 6740 6880 7000 7056 7077 7200 7224 7350 7525 7680 7740 7840 7875 8000 8064 8088 8256 8400 8425 8428 8600 8820 8960 9000 9030 9408 9436 9600 9632 9675 9800 10080 10110 10320 10500 10535 10750 10752 10784 10836 11008 11025 11200 11520 11760 11795 12000 12040 12132 12250 12384 12544 12600 12642 12800 12900 13440 13480 13545 13760 14000 14112 14154 14400 14448 14491 14700 15050 15165 15480 15680 15750 16000 16125 16128 16176 16512 16513 16800 16850 16856 17200 17640 17920 18000 18060 18375 18816 18872 18963 19200 19264 19350 19600 20160 20220 20640 21000 21070 21231 21500 21568 21672 22016 22050 22400 22575 23040 23520 23590 24000 24080 24264 24500 24768 25088 25200 25275 25284 25800 26880 26960 27090 27520 28000 28224 28308 28800 28896 28982 29400 30100 30330 30960 31360 31500 31605 32000 32250 32256 32352 33024 33026 33600 33700 33712 34400 35280 35385 36000 36120 36750 37625 37632 37744 37926 38400 38528 38700 39200 40320 40440 41280 42000 42125 42140 42462 43000 43136 43344 43473 44100 44800 45150 47040 47180 48000 48160 48375 48528 49000 49536 49539 50400 50550 50568 51600 52675 53760 53920 54180 55040 55125 56000 56448 56616 57600 57792 57964 58800 58975 60200 60660 61920 62720 63000 63210 64000 64500 64704 66048 66052 67200 67400 67424 67725 68800 70560 70770 72000 72240 72455 73500 75250 75264 75488 75825 75852 77056 77400 78400 80640 80880 82560 82565 84000 84250 84280 84924 86000 86272 86688 86946 88200 89600 90300 94080 94360 94815 96000 96320 96750 97056 98000 99072 99078 100800 101100 101136 101437 103200 105350 106155 107840 108360 110080 110250 112000 112875 112896 113232 113569 115200 115584 115928 117600 117950 120400 121320 123840 125440 126000 126375 126420 129000 129408 130419 132104 134400 134800 134848 135450 137600 141120 141540 144000 144480 144910 147000 148617 150500 150976 151650 151704 154112 154800 156800 158025 161280 161760 165120 165130 168000 168500 168560 169848 172000 172544 173376 173892 176400 176925 180600 188160 188720 189630 192000 192640 193500 194112 196000 198144 198156 201600 202200 202272 202874 206400 210700 212310 215680 216720 217365 220500 224000 225750 225792 226464 227138 231168 231856 235200 235900 240800 242640 247680 247695 252000 252750 252840 258000 258816 260838 263375 264208 268800 269600 269696 270900 275200 282240 283080 288000 288960 289820 294000 294875 297234 301000 301952 303300 303408 304311 309600 313600 316050 323520 330240 330260 336000 337000 337120 338625 339696 340707 344000 346752 347784 352800 353850 361200 362275 376320 377440 379125 379260 385280 387000 388224 392000 396312 403200 404400 404544 405748 412800 412825 421400 424620 431360 433440 434730 441000 448000 451500 452928 454276 462336 463712 470400 471800 474075 481600 485280 495360 495390 504000 505500 505680 507185 516000 517632 521676 526750 528416 530775 539200 539392 541800 550400 564480 566160 567845 576000 577920 579640 588000 589750 594468 602000 603904 606600 606816 608622 619200 627200 632100 647040 652095 660520 672000 674000 674240 677250 679392 681414 688000 693504 695568 705600 707700 710059 722400 724550 743085 754880 758250 758520 770560 774000 776448 784000 790125 792624 794983 806400 808800 809088 811496 825600 825650 842800 849240 862720 866880 869460 882000 884625 903000 905856 908552 912933 927424 940800 943600 948150 963200 970560 990720 990780 1008000 1011000 1011360 1014370 1022121 1032000 1043352 1053500 1056832 1061550 1078400 1078784 1083600 1086825 1128960 1132320 1135690 1155840 1159280 1176000 1179500 1188936 1204000 1207808 1213200 1213632 1217244 1238400 1238475 1264200 1294080 1304190 1321040 1344000 1348000 1348480 1354500 1358784 1362828 1376000 1387008 1391136 1411200 1415400 1420118 1444800 1449100 1486170 1509760 1516500 1517040 1521555 1548000 1552896 1568000 1580250 1585248 1589966 1617600 1618176 1622992 1651200 1651300 1685600 1698480 1703535 1733760 1738920 1764000 1769250 1806000 1811375 1811712 1817104 1825866 1854848 1881600 1887200 1896300 1926400 1941120 1981560 2016000 2022000 2022720 2028740 2044242 2064000 2064125 2086704 2107000 2113664 2123100 2130177 2156800 2167200 2173650 2264640 2271380 2311680 2318560 2352000 2359000 2370375 2377872 2384949 2408000 2426400 2427264 2434488 2476800 2476950 2528400 2535925 2588160 2608380 2642080 2653875 2696000 2696960 2709000 2717568 2725656 2752000 2782272 2822400 2830800 2839225 2840236 2889600 2898200 2972340 3019520 3033000 3034080 3043110 3096000 3136000 3160500 3170496 3179932 3235200 3236352 3245984 3260475 3302600 3371200 3396960 3407070 3467520 3477840 3528000 3538500 3550295 3612000 3622750 3623424 3634208 3651732 3709696 3715425 3774400 3792600 3852800 3882240 3963120 3974915 4032000 4044000 4045440 4057480 4088484 4128000 4128250 4173408 4214000 4227328 4246200 4260354 4313600 4334400 4347300 4529280 4542760 4564665 4637120 4704000 4718000 4740750 4755744 4769898 4816000 4852800 4854528 4868976 4883467 4953600 4953900 5056800 5071850 5110605 5216760 5284160 5307750 5392000 5393920 5418000 5434125 5435136 5451312 5564544 5564881 5644800 5661600 5678450 5680472 5779200 5796400 5944680 6039040 6066000 6068160 6086220 6192000 6192375 6321000 6340992 6359864 6390531 6470400 6491968 6520950 6605200 6742400 6793920 6814140 6935040 6955680 7056000 7077000 7100590 7154847 7224000 7245500 7268416 7303464 7419392 7430850 7548800 7585200 7607775 7764480 7926240 7949830 8088000 8090880 8114960 8176968 8256000 8256500 8346816 8428000 8454656 8492400 8517675 8520708 8668800 8694600 9058560 9085520 9129330 9274240 9408000 9436000 9481500 9511488 9539796 9632000 9705600 9709056 9737952 9766934 9907800 10113600 10143700 10221210 10433520 10568320 10615500 10650885 10784000 10836000 10868250 10870272 10902624 11129088 11129762 11323200 11356900 11360944 11558400 11592800 11889360 11924745 12132000 12136320 12172440 12384000 12384750 12642000 12679625 12681984 12719728 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6250837760 6260491125 6359864000 6390531000 6410742912 6491968000 6541574400 6563379648 6677857200 6816566400 6836853800 7032192480 7123047680 7154847000 7178696490 7268416000 7303464000 7325200500 7501005312 7631836800 7657276256 7691460525 7813547200 8013428640 8176968000 8179879680 8204224560 8346816000 8347321500 8520708000 8546067250 8547657216 8614435788 8751172864 8790240600 8903809600 9088755200 9158204160 9376256640 9511488000 9539796000 9571595320 9737952000 9766934000 9845069472 10016785800 10175782400 10224849600 10255280700 10684571520 10768044735 10902624000 10938966080 10987800750 11129762000 11251507968 11360944000 11447755200 11485914384 11685542400 11720320800 11964494150 12306336840 12501675520 12520982250 12719728000 12781062000 12819100875 12821485824 13083148800 13126759296 13355714400 13633132800 13673707600 14064384960 14246095360 14309694000 14357392980 14606928000 14650401000 15263673600 15314552512 15382921050 15627094400 16026857280 16353936000 16359759360 16408449120 16694643000 17041416000 17092134500 17228871576 17502345728 17580481200 17807619200 17946741225 18316408320 18752513280 19079592000 19143190640 19475904000 19533868000 19690138944 20033571600 20449699200 20510561400 21369143040 21536089470 21805248000 21877932160 21975601500 22259524000 22503015936 22721888000 22895510400 22971828768 23440641600 23928988300 24612673680 25041964500 25439456000 25562124000 25638201750 25642971648 26253518592 26711428800 27266265600 27347415200 28128769920 28619388000 28714785960 29213856000 29300802000 29911235375 30527347200 30629105024 30765842100 31254188800 32053714560 32707872000 32816898240 33389286000 34082832000 34184269000 34457743152 35160962400 35615238400 35893482450 37505026560 38159184000 38286381280 38457302625 39067736000 39380277888 40067143200 40899398400 41021122800 42738286080 43072178940 43755864320 43951203000 44519048000 45443776000 45791020800 45943657536 46881283200 47857976600 49225347360 50083929000 50878912000 51124248000 51276403500 52507037184 53422857600 53840223675 54694830400 56257539840 57238776000 57429571920 58427712000 58601604000 59822470750 61258210048 61531684200 62508377600 64107429120 65415744000 65633796480 66778572000 68165664000 68368538000 68915486304 70321924800 71230476800 71786964900 76318368000 76572762560 76914605250 78135472000 78760555776 80134286400 81798796800 82042245600 86144357880 87511728640 87902406000 89038096000 89733706125 91582041600 91887315072 93762566400 95715953200 98450694720 100167858000 102248496000 102552807000 106845715200 107680447350 109389660800 112515079680 114477552000 114859143840 117203208000 119644941500 122516420096 123063368400 128214858240 131267592960 133557144000 136331328000 136737076000 137830972608 140643849600 143573929800 152636736000 153145525120 153829210500 156270944000 157521111552 160268572800 164084491200 172288715760 175804812000 178076192000 179467412250 183774630144 187525132800 191431906400 196901389440 200335716000 204496992000 205105614000 213691430400 215360894700 218779321600 228955104000 229718287680 234406416000 239289883000 246126736800 262535185920 267114288000 269201118375 273474152000 275661945216 281287699200 287147859600 306291050240 307658421000 312541888000 320537145600 328168982400 344577431520 351609624000 356152384000 358934824500 367549260288 382863812800 393802778880 400671432000 408993984000 410211228000 430721789400 437558643200 457910208000 459436575360 468812832000 478579766000 492253473600 534228576000 538402236750 546948304000 551323890432 562575398400 574295719200 612582100480 615316842000 641074291200 656337964800 689154863040 703219248000 717869649000 765727625600 787605557760 801342864000 820422456000 861443578800 918873150720 937625664000 957159532000 984506947200 1068457152000 1076804473500 1093896608000 1102647780864 1148591438400 1230633684000 1312675929600 1378309726080 1406438496000 1435739298000 1531455251200 1602685728000 1640844912000 1722887157600 1837746301440 1914319064000 1969013894400 2153608947000 2187793216000 2297182876800 2461267368000 2756619452160 2812876992000 2871478596000 3062910502400 3205371456000 3281689824000 3445774315200 3828638128000 3938027788800 4307217894000 4594365753600 4922534736000 5513238904320 5742957192000 6563379648000 6891548630400 7657276256000 8614435788000 9188731507200 9845069472000 11485914384000 13783097260800 15314552512000 17228871576000 19690138944000 22971828768000 27566194521600 34457743152000 45943657536000 68915486304000 137830972608000
- Sum of all divisors σ(n): 592681717062864
- Sum of proper divisors (its aliquot sum) s(n): 454850744454864
- 137830972608000 is an abundant number, because the sum of its proper divisors (454850744454864) is greater than itself. Its abundance is 317019771846864
Bases of 137830972608000
- Binary: 111110101011011010001100010100101001110000000002
- Hexadecimal: 0x7D5B46294E00
- Base-36: 1CUUOAEF40
Squares and roots of 137830972608000
- 137830972608000 squared (1378309726080002) is 18997377010067246321664000000
- 137830972608000 cubed (1378309726080003) is 2618426950298427567999259540979712000000000
-
The
square root of 137830972608000 is 11740143.6366000225 -
The
cube root of 137830972608000 is 51655.3854912757
Scales and comparisons
How big is 137830972608000?- 137,830,972,608,000 seconds is equal to 4,382,598 years, 30 weeks, 4 days, 16 hours.
-
To count from 1 to 137,830,972,608,000 would take you about ten million, nine hundred fifty-six thousand, four hundred ninety-six 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 137830972608000 cubic inches would be around 4304.6 feet tall.
Recreational maths with 137830972608000
- 137830972608000 backwards is 000806279038731
- The number of decimal digits it has is: 15
- The sum of 137830972608000's digits is 54
- More coming soon!
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"Number 137830972608000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 137830972608000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/137830972608000/
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Numbermatics. 2024. "Number 137830972608000 - Facts about the integer". https://numbermatics.com/n/137830972608000/
The information we have on file for 137830972608000 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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