138398620032000
138,398,620,032,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138398620032000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
138398620032000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138398620032000:
210 × 33 × 53 × 17 × 292 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 29 × 29 × 2801)See below for interesting mathematical facts about the number 138398620032000 from the Numbermatics database.
Names of 138398620032000
- Cardinal: 138398620032000 can be written as One hundred thirty-eight trillion, three hundred ninety-eight billion, six hundred twenty million, thirty-two thousand.
Scientific notation
- Scientific notation: 1.38398620032 × 1014
Factors of 138398620032000
Divisors of 138398620032000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 29 30 32 34 36 40 45 48 50 51 54 58 60 64 68 72 75 80 85 87 90 96 100 102 108 116 120 125 128 135 136 144 145 150 153 160 170 174 180 192 200 204 216 225 232 240 250 255 256 261 270 272 288 290 300 306 320 340 348 360 375 384 400 408 425 432 435 450 459 464 480 493 500 510 512 522 540 544 576 580 600 612 640 675 680 696 720 725 750 765 768 783 800 816 841 850 864 870 900 918 928 960 986 1000 1020 1024 1044 1080 1088 1125 1152 1160 1200 1224 1275 1280 1305 1350 1360 1392 1440 1450 1479 1500 1530 1536 1566 1600 1632 1682 1700 1728 1740 1800 1836 1856 1920 1972 2000 2040 2088 2125 2160 2175 2176 2250 2295 2304 2320 2400 2448 2465 2523 2550 2560 2610 2700 2720 2784 2801 2880 2900 2958 3000 3060 3072 3132 3200 3264 3364 3375 3400 3456 3480 3600 3625 3672 3712 3825 3840 3915 3944 4000 4080 4176 4205 4250 4320 4350 4352 4437 4500 4590 4608 4640 4800 4896 4930 5046 5100 5120 5220 5400 5440 5568 5602 5760 5800 5916 6000 6120 6264 6375 6400 6525 6528 6728 6750 6800 6912 6960 7200 7250 7344 7395 7424 7569 7650 7680 7830 7888 8000 8160 8352 8403 8410 8500 8640 8700 8704 8874 9000 9180 9216 9280 9600 9792 9860 10092 10200 10440 10800 10875 10880 11136 11204 11475 11520 11600 11832 12000 12240 12325 12528 12615 12750 12800 13050 13056 13311 13456 13500 13600 13824 13920 14005 14297 14400 14500 14688 14790 14848 15138 15300 15360 15660 15776 16000 16320 16704 16806 16820 17000 17280 17400 17408 17748 18000 18360 18560 19125 19200 19575 19584 19720 20184 20400 20880 21025 21600 21750 21760 22185 22272 22408 22707 22950 23040 23200 23664 24000 24480 24650 25056 25209 25230 25500 25600 26100 26112 26622 26912 27000 27200 27648 27840 28010 28594 28800 29000 29376 29580 29696 30276 30600 31320 31552 32000 32625 32640 33408 33612 33640 34000 34560 34800 35496 36000 36720 36975 37120 37845 38250 38400 39150 39168 39440 40368 40800 41760 42015 42050 42891 43200 43500 43520 44370 44544 44816 45414 45900 46080 46400 47328 47617 48000 48960 49300 50112 50418 50460 51000 52200 52224 53244 53824 54000 54400 55680 56020 57188 57375 57600 58000 58752 59160 60552 61200 61625 62640 63075 63104 64000 65250 65280 66555 66816 67224 67280 68000 69120 69600 70025 70992 71485 72000 73440 73950 74240 75627 75690 76500 76800 78300 78336 78880 80736 81229 81600 83520 84030 84100 85782 86400 87000 87040 88740 89088 89632 90828 91800 92800 94656 95234 96000 97875 97920 98600 100224 100836 100920 102000 104400 105125 106488 107648 108000 108800 110925 111360 112040 113535 114376 114750 115200 116000 117504 118320 121104 122400 123250 125280 126045 126150 126208 128000 128673 130500 130560 133110 133632 134448 134560 136000 138240 139200 140050 141984 142851 142970 144000 146880 147900 148480 151254 151380 153000 156600 156672 157760 161472 162458 163200 167040 168060 168200 171564 172800 174000 177480 179264 181656 183600 184875 185600 189225 189312 190468 192000 195750 195840 197200 200448 201672 201840 204000 208800 210075 210250 212976 214455 215296 216000 217600 221850 222720 224080 227070 228752 229500 230400 232000 235008 236640 238085 242208 243687 244800 246500 250560 252090 252300 252416 257346 261000 261120 266220 267264 268896 269120 272000 278400 280100 283968 285702 285940 288000 293760 295800 302508 302760 306000 313200 315375 315520 322944 324916 326400 332775 334080 336120 336400 343128 345600 348000 350125 354960 357425 358528 363312 367200 369750 371200 378135 378450 378624 380936 384000 386019 391500 391680 394400 400896 403344 403680 406145 408000 417600 420150 420500 425952 428553 428910 430592 432000 435200 443700 445440 448160 454140 457504 459000 464000 470016 473280 476170 484416 487374 489600 493000 501120 504180 504600 504832 514692 522000 532440 537792 538240 544000 554625 556800 560200 567675 567936 571404 571880 576000 587520 591600 605016 605520 612000 626400 630225 630750 631040 643365 645888 649832 652800 665550 668160 672240 672800 686256 691200 696000 700250 709920 714255 714850 717056 726624 731061 734400 739500 742400 756270 756900 757248 761872 772038 783000 783360 788800 801792 806688 807360 812290 816000 835200 840300 841000 851904 857106 857820 861184 864000 887400 896320 908280 915008 918000 928000 946125 946560 952340 968832 974748 979200 986000 1002240 1008360 1009200 1029384 1044000 1050375 1064880 1072275 1075584 1076480 1088000 1109250 1113600 1120400 1135350 1135872 1142808 1143760 1152000 1175040 1183200 1190425 1210032 1211040 1218435 1224000 1252800 1260450 1261500 1262080 1285659 1286730 1291776 1299664 1305600 1331100 1336320 1344480 1345600 1372512 1380893 1392000 1400500 1419840 1428510 1429700 1434112 1453248 1462122 1468800 1479000 1512540 1513800 1514496 1523744 1544076 1566000 1577600 1613376 1614720 1624580 1632000 1663875 1670400 1680600 1682000 1703808 1714212 1715640 1728000 1774800 1787125 1792640 1816560 1830016 1836000 1856000 1890675 1892250 1893120 1904680 1930095 1937664 1949496 1958400 1972000 2004480 2016720 2018400 2030725 2058768 2088000 2100750 2129760 2142765 2144550 2151168 2152960 2176000 2193183 2218500 2227200 2240800 2270700 2271744 2285616 2287520 2350080 2355641 2366400 2380850 2420064 2422080 2436870 2448000 2505600 2520900 2523000 2524160 2571318 2573460 2583552 2599328 2662200 2688960 2691200 2745024 2761786 2784000 2801000 2838375 2839680 2857020 2859400 2868224 2906496 2924244 2937600 2958000 3025080 3027600 3047488 3088152 3132000 3151125 3155200 3216825 3226752 3229440 3249160 3264000 3327750 3340800 3361200 3364000 3407616 3428424 3431280 3456000 3549600 3571275 3574250 3585280 3633120 3655305 3660032 3672000 3712000 3781350 3784500 3786240 3809360 3860190 3875328 3898992 3916800 3944000 4008960 4033440 4036800 4061450 4117536 4142679 4176000 4201500 4259520 4285530 4289100 4302336 4305920 4386366 4437000 4481600 4541400 4543488 4571232 4575040 4711282 4732800 4761700 4840128 4844160 4873740 4896000 5011200 5041800 5046000 5142636 5146920 5198656 5324400 5361375 5377920 5382400 5490048 5523572 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325643811840 339212304000 345996550080 360413073000 369062986752 384440611200 397697184000 407054764800 432495687600 452283072000 461328733440 477236620800 480550764000 508818456000 512587481600 530262912000 540619609500 542739686400 553594480128 576660916800 596545776000 615104977920 640734352000 678424608000 691993100160 720826146000 768881222400 795394368000 814109529600 864991375200 904566144000 922657466880 954473241600 961101528000 1017636912000 1025174963200 1081239219000 1107188960256 1153321833600 1193091552000 1281468704000 1356849216000 1383986200320 1441652292000 1537762444800 1590788736000 1628219059200 1729982750400 1845314933760 1922203056000 2035273824000 2162478438000 2306643667200 2386183104000 2562937408000 2713698432000 2767972400640 2883304584000 3075524889600 3459965500800 3844406112000 4070547648000 4324956876000 4613287334400 4772366208000 5125874816000 5535944801280 5766609168000 6919931001600 7688812224000 8141095296000 8649913752000 9226574668800 11533218336000 13839862003200 15377624448000 17299827504000 23066436672000 27679724006400 34599655008000 46132873344000 69199310016000 138398620032000
- Sum of all divisors σ(n): 561127073719680
- Sum of proper divisors (its aliquot sum) s(n): 422728453687680
- 138398620032000 is an abundant number, because the sum of its proper divisors (422728453687680) is greater than itself. Its abundance is 284329833655680
Bases of 138398620032000
- Binary: 111110111011111011100001001010110011100000000002
- Hexadecimal: 0x7DDF70959C00
- Base-36: 1D23G50QO0
Squares and roots of 138398620032000
- 138398620032000 squared (1383986200320002) is 19154178026761911681024000000
- 138398620032000 cubed (1383986200320003) is 2650911806751105342071982960672768000000000
-
The
square root of 138398620032000 is 11764294.2853364561 -
The
cube root of 138398620032000 is 51726.2014193915
Scales and comparisons
How big is 138398620032000?- 138,398,620,032,000 seconds is equal to 4,400,648 years, 1 week, 1 day.
-
To count from 1 to 138,398,620,032,000 would take you about eleven million, one thousand, six hundred twenty 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 138398620032000 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138398620032000
- 138398620032000 backwards is 000230026893831
- 138398620032000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138398620032000's digits is 45
- More coming soon!
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MLA style:
"Number 138398620032000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138398620032000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138398620032000/
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The information we have on file for 138398620032000 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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