138153321738432
138,153,321,738,432 is an even composite number composed of six prime numbers multiplied together.
138153321738432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138153321738432:
26 × 39 × 7 × 11 × 13 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 331 × 331)See below for interesting mathematical facts about the number 138153321738432 from the Numbermatics database.
Names of 138153321738432
- Cardinal: 138153321738432 can be written as One hundred thirty-eight trillion, one hundred fifty-three billion, three hundred twenty-one million, seven hundred thirty-eight thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38153321738432 × 1014
Factors of 138153321738432
Divisors of 138153321738432
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 32 33 36 39 42 44 48 52 54 56 63 64 66 72 77 78 81 84 88 91 96 99 104 108 112 117 126 132 143 144 154 156 162 168 176 182 189 192 198 208 216 224 231 234 243 252 264 273 286 288 297 308 312 324 331 336 351 352 364 378 396 416 429 432 448 462 468 486 504 528 546 567 572 576 594 616 624 648 662 672 693 702 704 728 729 756 792 819 832 858 864 891 924 936 972 993 1001 1008 1053 1056 1092 1134 1144 1188 1232 1248 1287 1296 1324 1344 1386 1404 1456 1458 1512 1584 1638 1701 1716 1728 1782 1848 1872 1944 1986 2002 2016 2079 2106 2112 2184 2187 2268 2288 2317 2376 2457 2464 2496 2574 2592 2648 2673 2772 2808 2912 2916 2979 3003 3024 3159 3168 3276 3402 3432 3564 3641 3696 3744 3861 3888 3972 4004 4032 4158 4212 4303 4368 4374 4536 4576 4634 4752 4914 4928 5103 5148 5184 5296 5346 5544 5616 5824 5832 5958 6006 6048 6237 6318 6336 6552 6561 6804 6864 6951 7128 7282 7371 7392 7488 7722 7776 7944 8008 8019 8316 8424 8606 8736 8748 8937 9009 9072 9152 9268 9477 9504 9828 10206 10296 10592 10692 10923 11088 11232 11583 11664 11916 12012 12096 12474 12636 12909 13104 13122 13608 13728 13902 14256 14564 14742 14784 15309 15444 15552 15888 16016 16038 16632 16848 17212 17472 17496 17874 18018 18144 18536 18711 18954 19008 19656 19683 20412 20592 20853 21184 21384 21846 22113 22176 22464 23166 23328 23832 24024 24057 24948 25272 25487 25818 26208 26244 26811 27027 27216 27456 27804 28431 28512 29128 29484 30121 30618 30888 31776 32032 32076 32769 33264 33696 34424 34749 34992 35748 36036 36288 37072 37422 37908 38727 39312 39366 40824 41184 41706 42768 43692 44226 44352 45927 46332 46656 47333 47664 48048 48114 49896 50544 50974 51636 52416 52488 53622 54054 54432 55608 56133 56862 57024 58256 58968 60242 61236 61776 62559 63552 64064 64152 65538 66339 66528 67392 68848 69498 69984 71496 72072 72171 74144 74844 75816 76461 77454 78624 78732 80433 81081 81648 82368 83412 85293 85536 87384 88452 90363 91854 92664 94666 95328 96096 96228 98307 99792 101088 101948 103272 104247 104976 107244 108108 108864 109561 111216 112266 113724 116181 116512 117936 120484 122472 123552 125118 128304 131076 132678 133056 137696 137781 138996 139968 141999 142992 144144 144342 148288 149688 151632 152922 154908 157248 157464 160866 162162 163296 166824 168399 170586 171072 174768 176904 180726 183708 185328 187677 189332 190656 192192 192456 196614 199017 199584 202176 203896 206544 208494 209952 214488 216216 216513 219122 222432 224532 227448 229383 232362 233024 235872 240968 241299 243243 244944 247104 250236 255879 256608 262152 265356 271089 275392 275562 277992 283998 285984 288288 288684 294921 299376 303264 305844 309816 312741 314928 321732 324324 326592 328683 331331 333648 336798 341172 348543 349536 353808 361452 367416 370656 375354 378664 384912 393228 398034 399168 407792 413088 416988 419904 425997 428976 432432 433026 438244 444864 449064 454896 458766 464724 471744 481936 482598 486486 489888 500472 505197 511758 513216 524304 530712 542178 551124 555984 563031 567996 571968 576576 577368 589842 597051 598752 606528 611688 619632 625482 629856 643464 648648 657366 662662 667296 673596 682344 688149 697086 699072 707616 722904 723897 729729 734832 741312 750708 757328 766927 769824 786456 796068 813267 815584 826176 833976 851994 857952 864864 866052 876488 884763 898128 909792 917532 929448 938223 963872 965196 972972 979776 986049 993993 1000944 1010394 1023516 1045629 1048608 1061424 1084356 1102248 1111968 1126062 1135992 1154736 1179684 1194102 1197504 1205171 1223376 1239264 1250964 1259712 1277991 1286928 1297296 1314732 1325324 1334592 1347192 1364688 1376298 1394172 1415232 1424293 1445808 1447794 1459458 1469664 1501416 1514656 1515591 1533854 1539648 1572912 1592136 1626534 1631168 1667952 1689093 1703988 1715904 1729728 1732104 1752976 1769526 1791153 1796256 1819584 1835064 1858896 1876446 1927744 1930392 1945944 1972098 1987986 2001888 2020788 2047032 2064447 2091258 2097216 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745453044 752026704 764435232 780950808 790495524 807574131 809874912 820392768 828138168 846030042 851946336 858809952 877364488 878569659 891841104 903423456 911109276 922941864 931655439 957124896 958439628 966161196 972917568 987035049 993937392 1002702272 1003321242 1038309597 1041267744 1053994032 1076765508 1104184224 1118179566 1128040056 1146652848 1171426212 1185743286 1189121472 1214812368 1230589152 1242207252 1260971712 1269045063 1277919504 1288214928 1316046732 1325249856 1337761656 1355135184 1366663914 1384412796 1405325376 1435687344 1437659442 1449241794 1459376352 1490906088 1504053408 1528870464 1561901616 1580991048 1615148262 1619749824 1656276336 1677269349 1692060084 1703892672 1717619904 1754728976 1757139318 1783682208 1806846912 1822218552 1845883728 1863310878 1914249792 1916879256 1932322392 1974070098 1987874784 2006642484 2049995871 2076619194 2082535488 2107988064 2153531016 2156489163 2173862691 2208368448 2236359132 2256080112 2293305696 2342852424 2371486572 2422722393 2429624736 2461178304 2484414504 2538090126 2555839008 2576429856 2632093464 2635708977 2675523312 2710270368 2733327828 2768825592 2871374688 2875318884 2898483588 2918752704 2961105147 2981812176 3008106816 3114928791 3123803232 3161982096 3230296524 3312552672 3354538698 3384120168 3509457952 3514278636 3567364416 3644437104 3691767456 3726621756 3807135189 3833758512 3864644784 3948140196 3975749568 4013284968 4099991742 4153238388 4215976128 4307062032 4312978326 4347725382 4472718264 4512160224 4586611392 4685704848 4742973144 4845444786 4859249472 4968829008 5031808047 5076180252 5111678016 5152859712 5264186928 5271417954 5351046624 5420540736 5466655656 5537651184 5742749376 5750637768 5796967176 5922210294 5963624352 6149987613 6229857582 6247606464 6323964192 6460593048 6521588073 6625105344 6709077396 6768240336 7018915904 7028557272 7268167179 7288874208 7383534912 7453243512 7614270378 7667517024 7729289568 7896280392 7907126931 8026569936 8199983484 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33225907104 34264216701 34503826608 34781803056 35533261764 35781746112 36899925678 37379145492 37943785152 38763558288 40254464376 40609442016 42171343632 43609003074 43733245248 45685622268 46005102144 46375737408 47377682352 47442761586 49199900904 49838860656 51684744384 52172704584 53299892646 53672619168 55349888517 56068718238 56228458176 58145337432 59625948096 60381696564 60914163024 63170243136 63257015448 65413504611 65599867872 66451814208 68528433402 69007653216 69563606112 71066523528 73799851356 74758290984 77527116576 79949838969 80508928752 81218884032 84342687264 87218006148 91371244536 94755364704 94885523172 98399801808 99677721312 102792650103 104345409168 106599785292 107345238336 110699777034 112137436476 116290674864 120763393128 121828326048 126514030896 130827009222 131199735744 137056866804 138015306432 139127212224 142133047056 147599702712 149516581968 155054233152 159899677938 161017857504 166049665551 168685374528 174436012296 182742489072 189510729408 189771046344 196240513833 196799603616 199355442624 205585300206 208690818336 213199570584 221399554068 224274872952 232581349728 239849516907 241526786256 243656652096 253028061792 261654018444 274113733608 284266094112 295199405424 299033163936 308377950309 319799355876 322035715008 332099331102 348872024592 365484978144 379542092688 392481027666 393599207232 411170600412 417381636672 426399141168 442799108136 448549745904 465162699456 479699033814 483053572512 506056123584 523308036888 548227467216 568532188224 590398810848 598066327872 616755900618 639598711752 664198662204 697744049184 719548550721 730969956288 759084185376 784962055332 822341200824 852798282336 885598216272 897099491808 959398067628 966107145024 1046616073776 1096454934432 1180797621696 1233511801236 1279197423504 1328397324408 1395488098368 1439097101442 1518168370752 1569924110664 1644682401648 1705596564672 1771196432544 1794198983616 1918796135256 2093232147552 2158645652163 2192909868864 2467023602472 2558394847008 2656794648816 2878194202884 3139848221328 3289364803296 3542392865088 3837592270512 4186464295104 4317291304326 4934047204944 5116789694016 5313589297632 5756388405768 6279696442656 6578729606592 7675184541024 8634582608652 9868094409888 10627178595264 11512776811536 12559392885312 15350369082048 17269165217304 19736188819776 23025553623072 34538330434608 46051107246144 69076660869216 138153321738432
- Sum of all divisors σ(n): 553793961321216
- Sum of proper divisors (its aliquot sum) s(n): 415640639582784
- 138153321738432 is an abundant number, because the sum of its proper divisors (415640639582784) is greater than itself. Its abundance is 277487317844352
Bases of 138153321738432
- Binary: 111110110100110010100111010101010110000110000002
- Hexadecimal: 0x7DA653AAB0C0
- Base-36: 1CYYRCR000
Squares and roots of 138153321738432
- 138153321738432 squared (1381533217384322) is 19086340307362707810625818624
- 138153321738432 cubed (1381533217384323) is 2636841313292283281437054985265294802157568
-
The
square root of 138153321738432 is 11753864.1194473573 -
The
cube root of 138153321738432 is 51695.6234347693
Scales and comparisons
How big is 138153321738432?- 138,153,321,738,432 seconds is equal to 4,392,848 years, 15 weeks, 2 days, 9 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,153,321,738,432 would take you about ten million, nine hundred eighty-two thousand, one 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 138153321738432 cubic inches would be around 4308 feet tall.
Recreational maths with 138153321738432
- 138153321738432 backwards is 234837123351831
- 138153321738432 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138153321738432's digits is 54
- More coming soon!
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The information we have on file for 138153321738432 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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