138216138480
138,216,138,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138216138480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1200 divisors.
138216138480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138216138480:
24 × 34 × 5 × 72 × 67 × 73 × 89
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 67 × 73 × 89)See below for interesting mathematical facts about the number 138216138480 from the Numbermatics database.
Names of 138216138480
- Cardinal: 138216138480 can be written as One hundred thirty-eight billion, two hundred sixteen million, one hundred thirty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3821613848 × 1011
Factors of 138216138480
Divisors of 138216138480
- Number of divisors d(n): 1200
-
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 35 36 40 42 45 48 49 54 56 60 63 67 70 72 73 80 81 84 89 90 98 105 108 112 120 126 134 135 140 144 146 147 162 168 178 180 189 196 201 210 216 219 240 245 252 267 268 270 280 292 294 315 324 335 336 356 360 365 378 392 402 405 420 432 438 441 445 469 490 504 511 534 536 540 560 567 584 588 603 623 630 648 657 670 712 720 730 735 756 784 801 804 810 840 876 882 890 938 945 980 1005 1008 1022 1068 1072 1080 1095 1134 1168 1176 1206 1246 1260 1296 1314 1323 1335 1340 1407 1424 1460 1470 1512 1533 1602 1608 1620 1680 1752 1764 1780 1809 1869 1876 1890 1960 1971 2010 2044 2136 2160 2190 2205 2268 2345 2352 2403 2412 2492 2520 2555 2628 2646 2670 2680 2814 2835 2920 2940 3015 3024 3066 3115 3204 3216 3240 3283 3285 3504 3528 3560 3577 3618 3738 3752 3780 3920 3942 3969 4005 4020 4088 4221 4272 4361 4380 4410 4536 4599 4690 4806 4824 4891 4984 5040 5110 5256 5292 5340 5360 5427 5607 5628 5670 5840 5880 5913 5963 6030 6132 6230 6408 6480 6497 6566 6570 6615 7035 7056 7120 7154 7209 7236 7476 7504 7560 7665 7884 7938 8010 8040 8176 8442 8722 8760 8820 9045 9072 9198 9345 9380 9612 9648 9782 9849 9855 9968 10220 10512 10584 10680 10731 10854 11214 11256 11340 11760 11826 11926 12015 12060 12264 12460 12663 12816 12994 13083 13132 13140 13230 13797 14070 14308 14418 14472 14673 14952 15120 15330 15768 15876 16020 16080 16415 16821 16884 17444 17520 17640 17885 17889 18090 18396 18690 18760 19224 19491 19564 19698 19710 19845 20440 21105 21168 21360 21462 21708 21805 22428 22512 22680 22995 23652 23852 24030 24120 24455 24528 24920 25326 25988 26166 26264 26280 26460 27135 27594 28035 28140 28616 28836 28944 29346 29547 29565 29815 29904 30660 31536 31752 32040 32193 32485 32830 33642 33768 34237 34888 35280 35770 35778 36045 36180 36792 37380 37520 37989 38448 38982 39128 39249 39396 39420 39690 40880 41391 41741 42210 42924 43416 43610 44019 44856 45360 45479 45990 47304 47704 48060 48240 48910 49245 49840 50463 50652 51976 52332 52528 52560 52920 53655 53667 54270 55188 56070 56280 57232 57672 58473 58692 59094 59130 59630 61320 63315 63504 64080 64386 64970 65415 65660 67284 67536 68474 68985 69776 71540 71556 72090 72360 73365 73584 74760 75978 77964 78256 78498 78792 78840 79380 82782 83482 84105 84420 85848 86832 87220 88038 88641 89445 89712 90958 91980 94608 95408 96120 96579 97455 97820 98490 100926 101304 102711 103952 104664 105840 107310 107334 108540 110376 112140 112560 115344 116946 117384 117747 118188 118260 119260 122640 125223 126630 128772 129940 130830 131320 132057 134568 136437 136948 137970 143080 143112 144180 144720 146730 147735 149520 151956 155928 156996 157584 157680 158760 160965 161001 165564 166964 168210 168840 171185 171696 174440 175419 176076 177282 178890 181916 183960 189945 192240 193158 194910 195640 196245 196980 201852 202608 205422 206955 208705 209328 214620 214668 217080 220095 220752 224280 227395 233892 234768 235494 236376 236520 238520 239659 250446 252315 253260 257544 259880 261660 262640 264114 265923 268335 269136 272874 273896 275940 286160 286224 288360 289737 292187 292365 293460 295470 303912 308133 311856 313992 317520 318353 321930 322002 331128 333928 336420 337680 342370 348880 350838 352152 353241 354564 357780 363832 367920 375669 379890 386316 389820 391280 392490 393960 396171 403704 409311 410844 413910 417410 429240 429336 434160 435299 440190 443205 448560 454790 467784 470988 472752 473040 477040 479318 482895 483003 500892 504630 506520 513555 515088 519760 523320 526257 528228 531846 536670 545748 547792 551880 576720 579474 584374 584730 586920 588735 590940 607824 616266 626115 627984 636706 643860 644004 660285 662256 667856 672840 682185 684740 701676 704304 706482 709128 715560 718977 727664 751338 759780 772632 779640 784980 787920 792342 805005 807408 818622 821688 827820 834820 858480 858672 870598 876561 877095 880380 886410 909580 924399 935568 941976 955059 958636 965790 966006 1001784 1009260 1013040 1027110 1046640 1052514 1056456 1063692 1073340 1091496 1103760 1127007 1158948 1168748 1169460 1173840 1177470 1181880 1198295 1227933 1232532 1252230 1273412 1287720 1288008 1305897 1320570 1329615 1345680 1364370 1369480 1403352 1412964 1418256 1431120 1437954 1448685 1460935 1502676 1519560 1540665 1545264 1559280 1569960 1584684 1591765 1610010 1637244 1643376 1655640 1669640 1741196 1753122 1754190 1760760 1766205 1772820 1819160 1848798 1878345 1883952 1910118 1917272 1931580 1932012 1980855 2003568 2018520 2046555 2054220 2105028 2112912 2127384 2146680 2156931 2176495 2182992 2254014 2317896 2337496 2338920 2354940 2363760 2396590 2415015 2455866 2465064 2504460 2546824 2575440 2576016 2611794 2629683 2631285 2641140 2659230 2728740 2738960 2773197 2806704 2825928 2865177 2875908 2897370 2921870 3005352 3039120 3047093 3081330 3139920 3169368 3183530 3220020 3274488 3311280 3339280 3381021 3482392 3506244 3508380 3521520 3532410 3545640 3594885 3638320 3683799 3697596 3756690 3820236 3834544 3863160 3864024 3917691 3961710 4037040 4093110 4108440 4210056 4254768 4293360 4313862 4352990 4382805 4508028 4621995 4635792 4674992 4677840 4709880 4775295 4793180 4830030 4911732 4930128 5008920 5093648 5223588 5259366 5262570 5282280 5318460 5457480 5546394 5635035 5651856 5730354 5751816 5794740 5843740 6010704 6094186 6139665 6162660 6338736 6367060 6440040 6470793 6529485 6548976 6762042 6964784 7012488 7016760 7064820 7091280 7189770 7367598 7395192 7513380 7640472 7726320 7728048 7835382 7889049 7923420 8186220 8216880 8420112 8595531 8627724 8705980 8765610 9016056 9141279 9243990 9419760 9550590 9586360 9660060 9823464 10017840 10447176 10518732 10525140 10564560 10636920 10784655 10914960 11092788 11270070 11460708 11503632 11589480 11687480 11753073 12188372 12279330 12325320 12734120 12880080 12941586 13058970 13148415 13524084 13865985 14024976 14033520 14129640 14325885 14379540 14735196 14790384 15026760 15235465 15280944 15670764 15778098 15846840 16372440 16905105 17191062 17255448 17411960 17531220 18032112 18282558 18418995 18487980 19101180 19172720 19320120 19412379 19588455 19646928 20894352 21037464 21050280 21273840 21329651 21569310 22185576 22540140 22921416 23178960 23374960 23506146 23667147 24376744 24558660 24650640 25468240 25786593 25883172 26117940 26296830 27048168 27423837 27731970 28259280 28651770 28759080 29470392 30053520 30470930 31341528 31556196 31693680 32353965 32744880 33810210 34382124 34510896 34823920 35062440 35259219 36565116 36837990 36975960 38202360 38640240 38824758 39176910 39445245 42074928 42100560 42659302 42977655 43138620 44371152 45080280 45706395 45842832 47012292 47334294 48753488 49117320 51573186 51766344 52235880 52593660 54096336 54847674 55463940 57303540 57518160 58765365 58940784 60941860 62683056 63112392 63988953 64707930 67620420 68764248 70124880 70518438 73130232 73675980 73951920 76404720 77649516 78353820 78890490 82271511 85318604 85955310 86277240 90160560 91412790 94024584 94668588 97061895 98234640 103146372 103532688 104471760 105187320 106648255 109695348 110927880 114607080 117530730 118335735 121883720 126224784 127977906 128932965 129415860 135240840 137119185 137528496 141036876 146260464 147351960 155299032 156707640 157780980 164543022 170637208 171910620 172554480 176296095 182825580 188049168 189337176 191966859 194123790 206292744 210374640 213296510 219390696 221855760 229214160 235061460 236671470 243767440 246814533 255955812 257865930 258831720 270481680 274238370 282073752 294703920 310598064 313415280 315561960 319944765 329086044 341274416 343821240 352592190 365651160 378674352 383933718 388247580 411357555 412585488 426593020 438781392 470122920 473342940 493629066 511911624 515731860 517663440 548476740 564147504 575900577 631123920 639889530 658172088 687642480 705184380 731302320 767867436 776495160 822715110 853186040 940245840 946685880 959834295 987258132 1023823248 1031463720 1096953480 1151801154 1234072665 1279779060 1316344176 1410368760 1535734872 1552990320 1645430220 1706372080 1727701731 1893371760 1919668590 1974516264 2062927440 2193906960 2303602308 2468145330 2559558120 2820737520 2879502885 3071469744 3290860440 3455403462 3839337180 3949032528 4607204616 4936290660 5119116240 5759005770 6581720880 6910806924 7678674360 8638508655 9214409232 9872581320 11518011540 13821613848 15357348720 17277017310 19745162640 23036023080 27643227696 34554034620 46072046160 69108069240 138216138480
- Sum of all divisors σ(n): 580973484960
- Sum of proper divisors (its aliquot sum) s(n): 442757346480
- 138216138480 is an abundant number, because the sum of its proper divisors (442757346480) is greater than itself. Its abundance is 304541208000
Bases of 138216138480
- Binary: 100000001011100101001011100110111100002
- Hexadecimal: 0x202E52E6F0
- Base-36: 1RHUBJ00
Squares and roots of 138216138480
- 138216138480 squared (1382161384802) is 19103700936322536710400
- 138216138480 cubed (1382161384803) is 2640439774095261395909530056192000
-
The
square root of 138216138480 is 371774.3112158235 -
The
cube root of 138216138480 is 5170.3457384575
Scales and comparisons
How big is 138216138480?- 138,216,138,480 seconds is equal to 4,394 years, 43 weeks, 6 days, 19 hours, 48 minutes.
-
To count from 1 to 138,216,138,480 would take you about eight thousand, seven hundred eighty-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 138216138480 cubic inches would be around 430.9 feet tall.
Recreational maths with 138216138480
- 138216138480 backwards is 084831612831
- 138216138480 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138216138480's digits is 45
- More coming soon!
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The information we have on file for 138216138480 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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