138230996848000
138,230,996,848,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138230996848000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138230996848000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138230996848000:
27 × 53 × 72 × 412 × 53 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 41 × 41 × 53 × 1979)See below for interesting mathematical facts about the number 138230996848000 from the Numbermatics database.
Names of 138230996848000
- Cardinal: 138230996848000 can be written as One hundred thirty-eight trillion, two hundred thirty billion, nine hundred ninety-six million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38230996848 × 1014
Factors of 138230996848000
Divisors of 138230996848000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 53 56 64 70 80 82 98 100 106 112 125 128 140 160 164 175 196 200 205 212 224 245 250 265 280 287 320 328 350 371 392 400 410 424 448 490 500 530 560 574 640 656 700 742 784 800 820 848 875 896 980 1000 1025 1060 1120 1148 1225 1312 1325 1400 1435 1484 1568 1600 1640 1681 1696 1750 1855 1960 1979 2000 2009 2050 2120 2173 2240 2296 2450 2597 2624 2650 2800 2870 2968 3136 3200 3280 3362 3392 3500 3710 3920 3958 4000 4018 4100 4240 4346 4480 4592 4900 5125 5194 5248 5300 5600 5740 5936 6125 6272 6560 6625 6724 6784 7000 7175 7420 7840 7916 8000 8036 8200 8405 8480 8692 9184 9275 9800 9895 10045 10250 10388 10600 10865 11200 11480 11767 11872 12250 12985 13120 13250 13448 13853 14000 14350 14840 15211 15680 15832 16000 16072 16400 16810 16960 17384 18368 18550 19600 19790 20090 20500 20776 21200 21730 22400 22960 23534 23744 24500 25970 26240 26500 26896 27706 28000 28700 29680 30422 31360 31664 32144 32800 33620 33920 34768 35875 36736 37100 39200 39580 40180 41000 41552 42025 42400 43460 45920 46375 47068 47488 49000 49475 50225 51940 53000 53792 54325 55412 56000 57400 58835 59360 60844 63328 64288 64925 65600 67240 69265 69536 71750 74200 76055 78400 79160 80360 81139 82000 82369 83104 84050 84800 86920 89093 91840 92750 94136 96971 98000 98950 100450 103880 104887 106000 106477 107584 108650 110824 112000 114800 117670 118720 121688 126656 128576 129850 131200 134480 138530 139072 143500 148400 152110 156800 158320 160720 162278 164000 164738 166208 168100 169600 173840 178186 183680 185500 188272 193942 196000 197900 200900 207760 209774 210125 212000 212954 215168 217300 221648 229600 235340 237440 243376 247375 251125 253312 257152 259700 268960 271625 277060 278144 287000 294175 296800 304220 316640 321440 324556 324625 328000 329476 332416 336200 346325 347680 356372 371000 376544 380275 387884 392000 395800 401800 405695 411845 415520 419548 420250 424000 425908 434600 443296 445465 459200 470680 484855 486752 494750 502250 519400 524435 532385 537920 543250 554120 567973 574000 588350 593600 608440 623651 633280 642880 649112 649250 656000 658952 672400 692650 695360 712744 734209 742000 753088 760550 775768 784000 791600 803600 811390 823690 831040 839096 840500 848000 851816 869200 886592 890930 918400 941360 969710 973504 989500 1004500 1038800 1048870 1064770 1075840 1086500 1108240 1135946 1148000 1176700 1187200 1216880 1247302 1266560 1285760 1298224 1298500 1317904 1344800 1385300 1390720 1425488 1468418 1470875 1484000 1506176 1521100 1551536 1583200 1607200 1622780 1647380 1662080 1678192 1681000 1703632 1731625 1738400 1773184 1781860 1882720 1901375 1939420 1947008 1979000 2009000 2028475 2059225 2077600 2097740 2129540 2173000 2216480 2227325 2271892 2296000 2353400 2424275 2433760 2494604 2596448 2597000 2622175 2635808 2661925 2689600 2770600 2839865 2850976 2936836 2941750 2968000 3042200 3103072 3118255 3166400 3214400 3245560 3294760 3326699 3356384 3362000 3407264 3463250 3476800 3563720 3671045 3765440 3802750 3878840 3958000 3975811 4018000 4056950 4118450 4155200 4195480 4259080 4300367 4346000 4365557 4432960 4454650 4543784 4592000 4706800 4848550 4867520 4989208 5139463 5192896 5194000 5244350 5271616 5323850 5379200 5541200 5679730 5701952 5873672 5883500 5936000 6084400 6206144 6236510 6332800 6428800 6491120 6589520 6653398 6712768 6724000 6814528 6926500 6953600 7127440 7342090 7530880 7605500 7757680 7916000 7951622 8036000 8113900 8236900 8310400 8390960 8518160 8600734 8692000 8731114 8865920 8909300 9087568 9413600 9697100 9735040 9978416 10142375 10278926 10296125 10385792 10388000 10488700 10543232 10647700 11082400 11136625 11359460 11403904 11747344 11767000 12121375 12168800 12412288 12473020 12982240 13110875 13179040 13306796 13309625 13425536 13448000 13629056 13853000 14199325 14254880 14684180 15211000 15515360 15591275 15832000 15903244 16072000 16227800 16473800 16633495 16781920 17036320 17201468 17384000 17462228 17818600 18175136 18355225 18827200 19394200 19879055 19956832 20284750 20557852 20592250 20776000 20977400 21295400 21501835 21827785 22164800 22273250 22718920 23286893 23494688 23534000 24242750 24337600 24946040 25697315 25964480 26221750 26358080 26613592 26619250 26896000 27706000 28398650 28509760 29368360 30102569 30422000 31030720 31182550 31664000 31806488 32144000 32455600 32947600 33266990 33563840 34072640 34402936 34768000 34924456 35637200 36350272 36710450 37654400 38788400 39758110 39913664 40569500 41115704 41184500 41552000 41954800 42590800 43003670 43655570 44329600 44546500 45437840 46573786 46989376 47068000 48485500 48675200 49892080 51394630 51928960 52443500 52716160 53227184 53238500 55412000 56797300 57019520 58736720 60205138 60844000 62061440 62365100 63612976 64911200 65895200 66533980 67127680 68145280 68805872 69848912 70996625 71274400 72700544 73420900 77576800 77956375 79516220 79827328 81139000 82231408 82369000 83167475 83909600 85181600 86007340 87311140 89093000 90875680 91776125 93147572 93978752 94136000 96971000 99395275 99784160 102789260 104887000 106454368 106477000 107509175 109138925 110824000 113594600 116434465 117473440 120410276 121688000 124730200 127225952 128486575 129822400 131790400 133067960 137611744 139697824 141993250 142548800 146841800 150512845 155153600 155912750 159032440 162278000 163008251 164462816 164738000 166334950 167819200 170363200 172014680 174622280 176315047 178186000 181751360 183552250 186295144 188272000 193942000 198790550 199568320 205578520 209774000 210717983 212908736 212954000 215018350 218277850 221648000 227189200 232868930 234946880 240820552 243376000 249460400 254451904 256973150 259644800 263580800 266135920 275223488 279395648 283986500 285097600 293683600 301025690 310307200 311825500 318064880 324556000 326016502 328925632 329476000 332669900 335638400 340726400 344029360 349244560 352630094 356372000 363502720 367104500 372590288 387884000 397581100 399136640 411157040 415837375 419548000 421435966 425817472 425908000 430036700 436555700 454378400 465737860 469893760 481641104 496976375 498920800 508903808 513946300 532271840 537545875 545694625 550446976 558791296 567973000 582172325 587367200 602051380 623651000 636129760 642432875 649112000 652033004 657851264 658952000 665339800 688058720 698489120 705260188 712744000 734209000 745180576 752564225 775768000 795162200 815041255 822314080 831674750 839096000 842871932 851816000 860073400 873111400 881575235 908756800 931475720 963282208 993952750 997841600 1027892600 1053589915 1064543680 1075091750 1091389250 1135946000 1164344650 1174734400 1204102760 1234205329 1247302000 1272259520 1284865750 1298224000 1304066008 1317904000 1330679600 1376117440 1396978240 1410520376 1425488000 1468418000 1490361152 1505128450 1551536000 1590324400 1630082510 1644628160 1663349500 1678192000 1685743864 1703632000 1720146800 1746222800 1763150470 1817513600 1862951440 1926564416 1987905500 1995683200 2055785200 2107179830 2129087360 2150183500 2182778500 2271892000 2328689300 2349468800 2408205520 2468410658 2494604000 2544519040 2569731500 2608132016 2661359200 2752234880 2793956480 2821040752 2910861625 2936836000 2980722304 3010256900 3180648800 3260165020 3289256320 3326699000 3371487728 3440293600 3492445600 3526300940 3725902880 3762821125 3853128832 3975811000 4075206275 4111570400 4214359660 4300367000 4365557000 4407876175 4543784000 4657378600 4816411040 4936821316 4989208000 5139463000 5216264032 5267949575 5322718400 5642081504 5821723250 5873672000 6020513800 6171026645 6361297600 6520330040 6653398000 6742975456 6880587200 6984891200 7052601880 7451805760 7525642250 7951622000 8150412550 8223140800 8428719320 8600734000 8639437303 8731114000 8815752350 9087568000 9314757200 9632822080 9873642632 9978416000 10278926000 10432528064 10535899150 10645436800 11284163008 11643446500 11747344000 12041027600 12342053290 12722595200 13040660080 13306796000 13485950912 13761174400 13969782400 14105203760 14903611520 15051284500 15903244000 16300825100 16446281600 16857438640 17201468000 17278874606 17462228000 17631504700 18629514400 19265644160 19747285264 20376031375 20557852000 20865056128 21071798300 22039380875 22568326016 23286893000 24082055200 24684106580 26081320160 26339747875 26613592000 26971901824 28210407520 30102569000 30855133225 31806488000 32601650200 33714877280 34402936000 34557749212 34924456000 35263009400 37259028800 39494570528 40752062750 41115704000 42143596600 43197186515 44078761750 46573786000 48164110400 49368213160 52162640320 52679495750 53227184000 56420815040 60205138000 61710266450 63612976000 65203300400 67429754560 68805872000 69115498424 69848912000 70526018800 74518057600 78989141056 81504125500 82231408000 84287193200 86394373030 88157523500 93147572000 96328220800 98736426320 104325280640 105358991500 112841630080 120410276000 123420532900 130406600800 134859509120 138230996848 141052037600 154275666125 157978282112 163008251000 168574386400 172788746060 176315047000 186295144000 197472852640 210717983000 215985932575 240820552000 246841065800 260813201600 276461993696 282104075200 308551332250 326016502000 337148772800 345577492120 352630094000 372590288000 394945705280 421435966000 431971865150 481641104000 493682131600 521626403200 552923987392 564208150400 617102664500 652033004000 674297545600 691154984240 705260188000 789891410560 842871932000 863943730300 987364263200 1079929662875 1105847974784 1234205329000 1304066008000 1382309968480 1410520376000 1685743864000 1727887460600 1974728526400 2159859325750 2468410658000 2608132016000 2764619936960 2821040752000 3371487728000 3455774921200 3949457052800 4319718651500 4936821316000 5529239873920 6911549842400 8639437303000 9873642632000 13823099684800 17278874606000 19747285264000 27646199369600 34557749212000 69115498424000 138230996848000
- Sum of all divisors σ(n): 417718646373600
- Sum of proper divisors (its aliquot sum) s(n): 279487649525600
- 138230996848000 is an abundant number, because the sum of its proper divisors (279487649525600) is greater than itself. Its abundance is 141256652677600
Bases of 138230996848000
- Binary: 111110110111000011010010111011011001101100000002
- Hexadecimal: 0x7DB86976CD80
- Base-36: 1CZYFYI64G
Squares and roots of 138230996848000
- 138230996848000 squared (1382309968480002) is 19107808489591785935104000000
- 138230996848000 cubed (1382309968480003) is 2641291415096949802402051756552192000000000
-
The
square root of 138230996848000 is 11757167.8923114813 -
The
cube root of 138230996848000 is 51705.3100420101
Scales and comparisons
How big is 138230996848000?- 138,230,996,848,000 seconds is equal to 4,395,318 years, 6 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,230,996,848,000 would take you about ten million, nine hundred eighty-eight thousand, two hundred ninety-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 138230996848000 cubic inches would be around 4308.8 feet tall.
Recreational maths with 138230996848000
- 138230996848000 backwards is 000848699032831
- The number of decimal digits it has is: 15
- The sum of 138230996848000's digits is 61
- More coming soon!
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The information we have on file for 138230996848000 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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