138225842289715680
138,225,842,289,715,680 is an even composite number composed of seven prime numbers multiplied together.
138225842289715680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138225842289715680:
25 × 33 × 5 × 172 × 2332 × 1277 × 1597
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 17 × 233 × 233 × 1277 × 1597)See below for interesting mathematical facts about the number 138225842289715680 from the Numbermatics database.
Names of 138225842289715680
- Cardinal: 138225842289715680 can be written as One hundred thirty-eight quadrillion, two hundred twenty-five trillion, eight hundred forty-two billion, two hundred eighty-nine million, seven hundred fifteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3822584228971568 × 1017
Factors of 138225842289715680
Divisors of 138225842289715680
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 68 72 80 85 90 96 102 108 120 135 136 144 153 160 170 180 204 216 233 240 255 270 272 288 289 306 340 360 408 432 459 466 480 510 540 544 578 612 680 699 720 765 816 864 867 918 932 1020 1080 1156 1165 1224 1277 1360 1398 1440 1445 1530 1597 1632 1734 1836 1864 2040 2097 2160 2295 2312 2330 2448 2554 2601 2720 2796 2890 3060 3194 3468 3495 3672 3728 3831 3961 4080 4194 4320 4335 4590 4624 4660 4791 4896 5108 5202 5592 5780 6120 6291 6385 6388 6936 6990 7344 7456 7662 7803 7922 7985 8160 8388 8670 9180 9248 9320 9582 10216 10404 10485 11184 11493 11560 11883 12240 12582 12770 12776 13005 13872 13980 14373 14688 15324 15606 15844 15970 16776 17340 18360 18640 19155 19164 19805 20432 20808 20970 21709 22368 22986 23120 23766 23955 24480 25164 25540 25552 26010 27149 27744 27960 28746 30648 31212 31455 31688 31940 33552 34479 34680 35649 36720 37280 38310 38328 39015 39610 40864 41616 41940 43119 43418 45972 46240 47532 47910 50328 51080 51104 52020 54289 54298 55920 57465 57492 59415 61296 62424 62910 63376 63880 65127 67104 67337 68958 69360 71298 71865 73440 76620 76656 78030 79220 81447 83232 83880 86238 86836 91944 95064 95820 100656 102160 104040 106947 108545 108578 108596 111840 114930 114984 118830 122592 124848 125820 126752 127760 130254 134674 135745 137916 138720 142596 143730 153240 153312 156060 158440 162867 162894 167760 172395 172476 173672 178245 183888 190128 191640 195381 201312 202011 204320 208080 213894 215595 217090 217156 217192 229860 229968 237660 244341 249696 251640 255520 260508 269348 271445 271490 275832 285192 287460 297541 306480 312120 316880 325635 325734 325788 335520 336685 344790 344952 347344 356490 367776 369053 372101 380256 383280 390762 404022 407235 416160 427788 431190 434180 434312 434384 459720 459936 461533 475320 488601 488682 503280 521016 534735 538696 542890 542980 551664 570384 574920 586143 595082 606033 612960 624240 633760 651270 651468 651576 673370 689580 689904 694688 712980 733023 738106 744202 766560 781524 808044 814335 814470 855576 862380 868360 868624 868768 892623 919440 922913 923066 950640 976905 977202 977364 1006560 1010055 1042032 1069470 1077392 1085780 1085960 1103328 1107159 1116303 1140768 1149840 1172286 1190164 1212066 1221705 1248480 1302540 1302936 1303152 1346740 1379160 1379808 1384599 1425960 1465803 1466046 1476212 1487705 1488404 1563048 1616088 1628670 1628940 1711152 1724760 1736720 1737248 1785246 1818099 1838880 1845265 1845826 1846132 1860505 1901280 1953810 1954404 1954728 2020110 2039369 2084064 2138940 2154784 2171560 2171920 2214318 2232606 2299680 2307665 2344572 2380328 2424132 2443005 2443410 2605080 2605872 2606304 2677869 2693480 2758320 2768739 2769198 2851920 2930715 2931606 2932092 2952424 2975410 2976808 3030165 3126096 3232176 3257340 3257880 3321477 3348909 3422304 3449520 3473440 3570492 3636198 3665115 3690530 3691652 3692264 3721010 3907620 3908808 3909456 4040220 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159105586635 159131963070 159180342588 160284146536 161558812180 169712625744 169740760608 171062271720 176867047320 180319664853 185736993840 187270991280 188569584160 193870574616 198975428235 200355183170 200449320296 205274726064 212140782180 212175950760 212240456784 218104396443 221430607282 225505485333 228083028960 232280328240 235822729760 240426219804 242338218270 250561650370 254568938616 254611140912 256593407580 258494099488 265300570980 274649980706 282854376240 282901267680 290805861924 299492868960 300532774755 300673980444 318211173270 318263926140 318360685176 320568293072 323117624360 332145910923 339425251488 342124543440 353734094640 360639329706 363507327405 371473987680 374541982560 375842475555 387741149232 397950856470 400710366340 400898640592 410549452128 411974971059 424281564360 424351901520 424480913568 436208792886 442861214564 451010970666 464560656480 480852439608 484676436540 501123300740 509137877232 509222281824 513186815160 530601141960 540958994559 549299961412 553576518205 565708752480 581611723848 601065549510 601347960888 636422346540 636527852280 636721370352 641136586144 646235248720 664291821846 676516455999 684249086880 686624951765 707468189280 721278659412 727014654810 751684951110 775482298464 795901712940 801420732680 801797281184 823949942118 848563128720 848703803040 872417585772 885722429128 901598324265 902021941332 961704879216 969352873080 996437732769 1002246601480 1018275754464 1026373630320 1061202283920 1081917989118 1090521982215 1098599922824 1107153036410 1127527426665 1163223447696 1202131099020 1202695921776 1235924913177 1272844693080 1273055704560 1273442740704 1292470497440 1328583643692 1353032911998 1373249903530 1442557318824 1454029309620 1503369902220 1591803425880 1602841465360 1647899884236 1660729554615 1697126257440 1744835171544 1771444858256 1803196648530 1804043882664 1882160161897 1923409758432 1938705746160 1992875465538 2004493202960 2052747260640 2059874855295 2122404567840 2163835978236 2181043964430 2197199845648 2214306072820 2255054853330 2326446895392 2404262198040 2405391843552 2471849826354 2545689386160 2546111409120 2657167287384 2704794972795 2706065823996 2746499807060 2885114637648 2908058619240 2989313198307 3006739804440 3183606851760 3205682930720 3295799768472 3321459109230 3382582279995 3489670343088 3542889716512 3606393297060 3608087765328 3707774739531 3764320323794 3877411492320 3985750931076 4008986405920 4119749710590 4327671956472 4362087928860 4394399691296 4428612145640 4510109706660 4808524396080 4943699652708 4982188663845 5091378772320 5314334574768 5409589945590 5412131647992 5492999614120 5646480485691 5770229275296 5816117238480 5978626396614 6013479608880 6179624565885 6367213703520 6591599536944 6642918218460 6765164559990 6979340686176 7212786594120 7216175530656 7415549479062 7528640647588 7971501862152 8239499421180 8655343912944 8724175857720 8857224291280 9020219413320 9410800809485 9617048792160 9887399305416 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75286406475880 79715018621520 84697207285365 86553439129440 90343687771056 95658022345824 95990168256747 98873993054160 101636648742438 108242632959840 112929609713820 118648791664992 119572527932280 127986891008996 135515531656584 148310989581240 150572812951760 159430037243040 159983613761245 169394414570730 180687375542112 191980336513494 197747986108320 203273297484876 225859219427640 239145055864560 254091621856095 255973782017992 271031063313168 287970504770241 296621979162480 301145625903520 319967227522490 338788829141460 383960673026988 406546594969752 451718438855280 478290111729120 479950841283735 508183243712190 511947564035984 542062126626336 575941009540482 593243958324960 639934455044980 677577658282920 767921346053976 813093189939504 863911514310723 903436877710560 959901682567470 1016366487424380 1023895128071968 1151882019080964 1279868910089960 1355155316565840 1439852523851205 1535842692107952 1626186379879008 1727823028621446 1919803365134940 2032732974848760 2303764038161928 2559737820179920 2710310633131680 2879705047702410 3071685384215904 3455646057242892 3839606730269880 4065465949697520 4319557571553615 4607528076323856 5119475640359840 5759410095404820 6911292114485784 7679213460539760 8130931899395040 8639115143107230 9215056152647712 11518820190809640 13822584228971568 15358426921079520 17278230286214460 23037640381619280 27645168457943136 34556460572428920 46075280763238560 69112921144857840 138225842289715680
- Sum of all divisors σ(n): 516865493655766080
- Sum of proper divisors (its aliquot sum) s(n): 378639651366050400
- 138225842289715680 is an abundant number, because the sum of its proper divisors (378639651366050400) is greater than itself. Its abundance is 240413809076334720
Bases of 138225842289715680
- Binary: 1111010110001001110101011110101000111010100101001111000002
- Hexadecimal: 0x1EB13ABD47529E0
- Base-36: 11T0YZBHT4O0
Squares and roots of 138225842289715680
- 138225842289715680 squared (1382258422897156802) is 19106383476701351701140295237862400
- 138225842289715680 cubed (1382258422897156803) is 2640995949177350602721545934397137930378866962432000
-
The
square root of 138225842289715680 is 371787361.6594782529 -
The
cube root of 138225842289715680 is 517046.6734644231
Scales and comparisons
How big is 138225842289715680?- 138,225,842,289,715,680 seconds is equal to 4,395,154,224 years, 10 weeks, 6 days, 10 hours, 48 minutes.
-
To count from 1 to 138,225,842,289,715,680 would take you about thirteen billion, one hundred eighty-five million, four hundred sixty-two thousand, six hundred seventy-two 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 138225842289715680 cubic inches would be around 43087.2 feet tall.
Recreational maths with 138225842289715680
- 138225842289715680 backwards is 086517982248522831
- The number of decimal digits it has is: 18
- The sum of 138225842289715680's digits is 81
- More coming soon!
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"Number 138225842289715680 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138225842289715680 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138225842289715680/
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Numbermatics. 2024. "Number 138225842289715680 - Facts about the integer". https://numbermatics.com/n/138225842289715680/
The information we have on file for 138225842289715680 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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