138238347456000
138,238,347,456,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138238347456000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
138238347456000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138238347456000:
29 × 32 × 53 × 11 × 149 × 181 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 149 × 181 × 809)See below for interesting mathematical facts about the number 138238347456000 from the Numbermatics database.
Names of 138238347456000
- Cardinal: 138238347456000 can be written as One hundred thirty-eight trillion, two hundred thirty-eight billion, three hundred forty-seven million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.38238347456 × 1014
Factors of 138238347456000
Divisors of 138238347456000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 125 128 132 144 149 150 160 165 176 180 181 192 198 200 220 225 240 250 256 264 275 288 298 300 320 330 352 360 362 375 384 396 400 440 447 450 480 495 500 512 528 543 550 576 596 600 640 660 704 720 724 745 750 768 792 800 809 825 880 894 900 905 960 990 1000 1056 1086 1100 1125 1152 1192 1200 1280 1320 1341 1375 1408 1440 1448 1490 1500 1536 1584 1600 1618 1629 1639 1650 1760 1788 1800 1810 1920 1980 1991 2000 2112 2172 2200 2235 2250 2304 2384 2400 2427 2475 2560 2640 2682 2715 2750 2816 2880 2896 2980 3000 3168 3200 3236 3258 3278 3300 3520 3576 3600 3620 3725 3840 3960 3982 4000 4045 4125 4224 4344 4400 4470 4500 4525 4608 4768 4800 4854 4917 4950 5280 5364 5430 5500 5632 5760 5792 5960 5973 6000 6336 6400 6472 6516 6556 6600 6705 7040 7152 7200 7240 7281 7450 7680 7920 7964 8000 8090 8145 8195 8250 8448 8688 8800 8899 8940 9000 9050 9536 9600 9708 9834 9900 9955 10560 10728 10860 11000 11175 11520 11584 11920 11946 12000 12135 12375 12672 12800 12944 13032 13112 13200 13410 13575 14080 14304 14400 14480 14562 14751 14900 15840 15928 16000 16180 16290 16390 16500 16896 17376 17600 17798 17880 17919 18000 18100 18625 19072 19200 19416 19668 19800 19910 20225 21120 21456 21720 22000 22350 22625 23040 23168 23840 23892 24000 24270 24585 24750 25344 25888 26064 26224 26400 26697 26820 26969 27150 28160 28608 28800 28960 29124 29502 29800 29865 31680 31856 32000 32360 32580 32780 33000 33525 34752 35200 35596 35760 35838 36000 36200 36405 37250 38144 38400 38832 39336 39600 39820 40450 40725 40975 42240 42912 43440 44000 44495 44700 45250 46336 47680 47784 48000 48540 49170 49500 49775 50688 51776 52128 52448 52800 53394 53640 53938 54300 55875 57216 57600 57920 58248 59004 59600 59730 60675 63360 63712 64000 64720 65160 65560 66000 67050 67875 69504 70400 71192 71520 71676 72000 72400 72810 73755 74500 76288 77664 78672 79200 79640 80091 80900 80907 81450 81950 84480 85824 86880 88000 88990 89400 89595 90500 92672 95360 95568 96000 97080 98340 99000 99550 101125 103552 104256 104896 105600 106788 107280 107876 108600 111750 114432 115200 115840 116496 118008 119200 119460 120541 121350 122925 126720 127424 129440 130320 131120 132000 133485 134100 134845 135750 139008 140800 142384 143040 143352 144000 144800 145620 146429 147510 149000 149325 155328 157344 158400 159280 160182 161800 161814 162900 163900 167625 171648 173760 176000 177980 178800 179190 181000 182025 190720 191136 192000 194160 196680 198000 199100 202250 203625 204875 207104 208512 209792 211200 213576 214560 215752 217200 222475 223500 228864 231680 232992 236016 238400 238920 241082 242700 242721 245850 248875 253440 254848 258880 260640 262240 264000 266970 268200 269690 271500 278016 284768 286080 286704 288000 289600 291240 292858 295020 296659 298000 298650 303375 310656 314688 316800 318560 320364 323600 323628 325800 327800 335250 343296 347520 352000 355960 357600 358380 361623 362000 364050 368775 381440 382272 388320 393360 396000 398200 400455 404500 404535 407250 409750 414208 417024 419584 422400 427152 429120 431504 434400 439287 444950 447000 447975 463360 465984 472032 476800 477840 482164 485400 485442 491700 497750 509696 517760 521280 524480 528000 533940 536400 539380 543000 569536 572160 573408 576000 579200 582480 585716 590040 593318 596000 597300 602705 606750 614625 621312 629376 633600 637120 640728 647200 647256 651600 655600 667425 670500 674225 686592 695040 704000 711920 715200 716760 723246 724000 728100 732145 737550 746625 764544 776640 786720 792000 796400 800910 809000 809070 814500 819500 834048 839168 854304 858240 863008 868800 878574 889900 889977 894000 895950 910125 931968 944064 953600 955680 964328 970800 970884 983400 995500 1019392 1035520 1042560 1048960 1056000 1067880 1072800 1078760 1084869 1086000 1112375 1139072 1144320 1146816 1158400 1164960 1171432 1180080 1186636 1192000 1194600 1205410 1213500 1213605 1229250 1242624 1258752 1267200 1274240 1281456 1294400 1294512 1303200 1311200 1317861 1325951 1334850 1341000 1348450 1390080 1423840 1430400 1433520 1446492 1448000 1456200 1464290 1475100 1483295 1493250 1529088 1553280 1573440 1584000 1592800 1601820 1610719 1618000 1618140 1629000 1639000 1708608 1716480 1726016 1737600 1757148 1779800 1779954 1788000 1791900 1808115 1820250 1843875 1863936 1888128 1907200 1911360 1928656 1941600 1941768 1966800 1991000 2002275 2022675 2071040 2085120 2097920 2112000 2135760 2145600 2157520 2169738 2172000 2196435 2224750 2239875 2278144 2293632 2316800 2329920 2342864 2360160 2373272 2384000 2389200 2410820 2427000 2427210 2458500 2517504 2548480 2562912 2588800 2589024 2606400 2622400 2635722 2651902 2669700 2669931 2682000 2696900 2847680 2860800 2867040 2892984 2896000 2912400 2928580 2950200 2966590 2986500 3013525 3058176 3106560 3146880 3168000 3185600 3203640 3221438 3236000 3236280 3258000 3278000 3337125 3371125 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122878531072 125671224960 127291296000 130907526000 138238347456 139634694400 143998278600 152749555200 153598163840 154629024000 157089031200 167561633280 170875584000 172797934320 174543368000 179997848250 184317796608 185554828800 190936944000 191997704800 196361289000 209452041600 215997417900 230397245760 231943536000 239997131000 251342449920 254582592000 261815052000 269996772375 276476694912 279269388800 287996557200 307196327680 309258048000 314178062400 345595868640 349086736000 359995696500 368635593216 381873888000 383995409600 392722578000 418904083200 431994835800 460794491520 463887072000 479994262000 502684899840 523630104000 539993544750 552953389824 575993114400 614392655360 628356124800 691191737280 698173472000 719991393000 763747776000 767990819200 785445156000 837808166400 863989671600 921588983040 927774144000 959988524000 1047260208000 1079987089500 1105906779648 1151986228800 1256712249600 1382383474560 1396346944000 1439982786000 1535981638400 1570890312000 1727979343200 1843177966080 1919977048000 2094520416000 2159974179000 2303972457600 2513424499200 2764766949120 2879965572000 3071963276800 3141780624000 3455958686400 3839954096000 4189040832000 4319948358000 4607944915200 5529533898240 5759931144000 6283561248000 6911917372800 7679908192000 8639896716000 9215889830400 11519862288000 12567122496000 13823834745600 15359816384000 17279793432000 23039724576000 27647669491200 34559586864000 46079449152000 69119173728000 138238347456000
- Sum of all divisors σ(n): 550519233264000
- Sum of proper divisors (its aliquot sum) s(n): 412280885808000
- 138238347456000 is an abundant number, because the sum of its proper divisors (412280885808000) is greater than itself. Its abundance is 274042538352000
Bases of 138238347456000
- Binary: 111110110111010000111111001100000101110000000002
- Hexadecimal: 0x7DBA1F982E00
- Base-36: 1D01TIV7K0
Squares and roots of 138238347456000
- 138238347456000 squared (1382383474560002) is 19109840707365781671936000000
- 138238347456000 cubed (1382383474560003) is 2641712799533643745250125372194816000000000
-
The
square root of 138238347456000 is 11757480.4892885109 -
The
cube root of 138238347456000 is 51706.2265241733
Scales and comparisons
How big is 138238347456000?- 138,238,347,456,000 seconds is equal to 4,395,551 years, 44 weeks, 1 day, 8 hours.
-
To count from 1 to 138,238,347,456,000 would take you about ten million, nine hundred eighty-eight thousand, eight hundred seventy-nine 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 138238347456000 cubic inches would be around 4308.9 feet tall.
Recreational maths with 138238347456000
- 138238347456000 backwards is 000654743832831
- The number of decimal digits it has is: 15
- The sum of 138238347456000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138238347456000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138238347456000/
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The information we have on file for 138238347456000 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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