138097701342720
138,097,701,342,720 is an even composite number composed of six prime numbers multiplied together.
What does the number 138097701342720 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1600 divisors.
138097701342720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 138097701342720:
29 × 34 × 5 × 7 × 37 × 1373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 37 × 137 × 137 × 137)See below for interesting mathematical facts about the number 138097701342720 from the Numbermatics database.
Names of 138097701342720
- Cardinal: 138097701342720 can be written as One hundred thirty-eight trillion, ninety-seven billion, seven hundred one million, three hundred forty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3809770134272 × 1014
Factors of 138097701342720
Divisors of 138097701342720
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 37 40 42 45 48 54 56 60 63 64 70 72 74 80 81 84 90 96 105 108 111 112 120 126 128 135 137 140 144 148 160 162 168 180 185 189 192 210 216 222 224 240 252 256 259 270 274 280 288 296 315 320 324 333 336 360 370 378 384 405 411 420 432 444 448 480 504 512 518 540 548 555 560 567 576 592 630 640 648 666 672 685 720 740 756 768 777 810 822 840 864 888 896 945 959 960 999 1008 1036 1080 1096 1110 1120 1134 1152 1184 1233 1260 1280 1295 1296 1332 1344 1370 1440 1480 1512 1536 1554 1620 1644 1665 1680 1728 1776 1792 1890 1918 1920 1998 2016 2055 2072 2160 2192 2220 2240 2268 2304 2331 2368 2466 2520 2560 2590 2592 2664 2688 2740 2835 2877 2880 2960 2997 3024 3108 3240 3288 3330 3360 3456 3552 3584 3699 3780 3836 3840 3885 3996 4032 4110 4144 4320 4384 4440 4480 4536 4608 4662 4736 4795 4932 4995 5040 5069 5180 5184 5328 5376 5480 5670 5754 5760 5920 5994 6048 6165 6216 6480 6576 6660 6720 6912 6993 7104 7398 7560 7672 7680 7770 7992 8064 8220 8288 8631 8640 8768 8880 8960 9072 9324 9472 9590 9864 9990 10080 10138 10360 10368 10656 10752 10960 11097 11340 11508 11520 11655 11840 11988 12096 12330 12432 12960 13152 13320 13440 13824 13986 14208 14385 14796 14985 15120 15207 15344 15540 15984 16128 16440 16576 17262 17280 17536 17760 17920 18144 18495 18648 18769 18944 19180 19728 19980 20160 20276 20720 20736 20979 21312 21920 22194 22680 23016 23040 23310 23680 23976 24192 24660 24864 25345 25893 25920 26304 26640 26880 27972 28416 28770 29592 29970 30240 30414 30688 31080 31968 32256 32880 33152 34524 34560 34965 35072 35483 35520 36288 36990 37296 37538 38360 39456 39960 40320 40552 41440 41472 41958 42624 43155 43840 44388 45360 45621 46032 46620 47360 47952 48384 49320 49728 50690 51786 51840 52608 53280 53760 55485 55944 56307 56832 57540 59184 59940 60480 60828 61376 62160 63936 65760 66304 69048 69120 69930 70144 70966 71040 72576 73980 74592 75076 76035 76720 77679 78912 79920 80640 81104 82880 83916 85248 86310 87680 88776 90720 91242 92064 93240 93845 94720 95904 96768 98640 99456 101380 103572 103680 104895 105216 106449 106560 110970 111888 112614 115080 118368 119880 120960 121656 122752 124320 127872 129465 131383 131520 132608 136863 138096 139860 141932 142080 145152 147960 149184 150152 152070 153440 155358 157824 159840 161280 162208 165760 167832 168921 170496 172620 175360 177415 177552 181440 182484 184128 186480 187690 191808 197280 198912 202760 207144 207360 209790 210432 212898 213120 221940 223776 225228 228105 230160 236736 239760 241920 243312 245504 248640 255744 258930 262766 263040 273726 276192 279720 281535 283864 284160 290304 295920 298368 300304 304140 306880 310716 315648 319347 319680 324416 331520 335664 337842 345240 350720 354830 355104 362880 364968 368256 372960 375380 383616 388395 394149 394560 397824 405520 410589 414288 419580 425796 426240 443880 447552 450456 456210 460320 473472 479520 483840 486624 491008 497280 506763 511488 517860 525532 526080 532245 547452 552384 559440 563070 567728 591840 596736 600608 608280 613760 621432 631296 638694 639360 648832 656915 663040 671328 675684 684315 690480 694453 709660 710208 725760 729936 736512 745920 750760 767232 776790 788298 789120 811040 821178 828576 839160 844605 851592 852480 887760 895104 900912 912420 920640 946944 958041 959040 973248 994560 1013526 1035720 1051064 1052160 1064490 1094904 1104768 1118880 1126140 1135456 1182447 1183680 1193472 1201216 1216560 1227520 1242864 1277388 1278720 1297664 1313830 1342656 1351368 1368630 1380960 1388906 1419320 1420416 1451520 1459872 1473024 1491840 1501520 1520289 1534464 1553580 1576596 1578240 1596735 1622080 1642356 1657152 1678320 1689210 1703184 1775520 1790208 1801824 1824840 1841280 1893888 1916082 1918080 1946496 1970745 1989120 2027052 2052945 2071440 2083359 2102128 2128980 2189808 2209536 2237760 2252280 2270912 2364894 2367360 2402432 2433120 2455040 2485728 2533815 2554776 2557440 2571353 2595328 2627660 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613146240 617124720 622229888 647980956 648656640 656258085 658266368 665980427 666674880 681089472 694265310 700008624 719978840 735775488 740549664 750009240 756766080 761120488 777787360 778387968 787509702 800009856 809976195 817528320 822832960 833118372 851361840 856260549 863974608 875010780 888899840 900011088 908119296 919719360 925687080 933344832 951400610 971971434 972984960 987399552 1000012320 1009021440 1041397965 1050012936 1051107840 1066679808 1079968260 1110824496 1125013860 1135149120 1141680732 1151966144 1166681040 1200014784 1226292480 1234249440 1244459776 1295961912 1297313280 1312516170 1316532736 1331960854 1333349760 1362178944 1388530620 1400017248 1427100915 1439957680 1457957151 1471550976 1481099328 1500018480 1513532160 1522240976 1555574720 1575019404 1600019712 1619952390 1645665920 1666236744 1702723680 1712521098 1727949216 1750021560 1777799680 1800022176 1816238592 1839438720 1851374160 1866689664 1902801220 1943942868 1945969920 1968774255 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7000086240 7200088704 7289785755 7357754880 7405496640 7466758656 7611204880 7706344941 7775771472 7875097020 7991765124 8000098560 8331183720 8400103488 8562605490 8639746080 8886595968 9000110880 9081192960 9133445856 9215729152 9333448320 9600118272 9719714340 9873995520 9989706405 10275126588 10367695296 10500129360 10655686832 11108244960 11200137984 11416807320 11519661440 11663657208 11848794624 11987647686 12000147840 12177927808 12444597760 12600155232 12843908235 12959619120 13319608540 13329893952 13621789440 13700168784 13823593728 14000172480 14400177408 14579571510 14810993280 15222409760 15412689882 15551542944 15750194040 15983530248 16000197120 16662367440 16800206976 17125210980 17279492160 17773191936 17981471529 18000221760 18266891712 18666896640 19439428680 19747991040 19979412810 20550253176 20735390592 21000258720 21311373664 22216489920 22400275968 22833614640 23039322880 23327314416 23975295372 24000295680 24355855616 25200310464 25687816470 25919238240 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986412152448 1008012418560 1022945935872 1078888291740 1096013502720 1150814177856 1233015190560 1244123435520 1278682419840 1315216203264 1438517722320 1534418903808 1644020254080 1704909893120 1726221266784 1866185153280 1918023629760 1972824304896 2157776583480 2192027005440 2301628355712 2466030381120 2557364839680 2877035444640 3068837807616 3288040508160 3452442533568 3732370306560 3836047259520 3945648609792 4315553166960 4603256711424 4932060762240 5114729679360 5754070889280 6576081016320 6904885067136 7672094519040 8631106333920 9206513422848 9864121524480 11508141778560 13809770134272 15344189038080 17262212667840 19728243048960 23016283557120 27619540268544 34524425335680 46032567114240 69048850671360 138097701342720
- Sum of all divisors σ(n): 584829400129920
- Sum of proper divisors (its aliquot sum) s(n): 446731698787200
- 138097701342720 is an abundant number, because the sum of its proper divisors (446731698787200) is greater than itself. Its abundance is 308633997444480
Bases of 138097701342720
- Binary: 111110110011001011000000110111011001110000000002
- Hexadecimal: 0x7D99606ECE00
- Base-36: 1CY97HSW00
Squares and roots of 138097701342720
- 138097701342720 squared (1380977013427202) is 19070975116143089290896998400
- 138097701342720 cubed (1380977013427203) is 2633657825903573209915155268616897691648000
-
The
square root of 138097701342720 is 11751497.8340090759 -
The
cube root of 138097701342720 is 51688.6849672977
Scales and comparisons
How big is 138097701342720?- 138,097,701,342,720 seconds is equal to 4,391,079 years, 38 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,097,701,342,720 would take you about ten million, nine hundred seventy-seven thousand, six hundred ninety-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 138097701342720 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138097701342720
- 138097701342720 backwards is 027243107790831
- 138097701342720 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138097701342720's digits is 54
- More coming soon!
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MLA style:
"Number 138097701342720 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138097701342720 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138097701342720/
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The information we have on file for 138097701342720 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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