138204950137216
138,204,950,137,216 is an even composite number composed of four prime numbers multiplied together.
138204950137216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138204950137216:
27 × 173 × 193 × 1792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 17 × 17 × 17 × 19 × 19 × 19 × 179 × 179)See below for interesting mathematical facts about the number 138204950137216 from the Numbermatics database.
Names of 138204950137216
- Cardinal: 138204950137216 can be written as One hundred thirty-eight trillion, two hundred four billion, nine hundred fifty million, one hundred thirty-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38204950137216 × 1014
Factors of 138204950137216
Divisors of 138204950137216
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 179 272 289 304 323 358 361 544 578 608 646 716 722 1088 1156 1216 1292 1432 1444 2176 2312 2432 2584 2864 2888 3043 3401 4624 4913 5168 5491 5728 5776 6086 6137 6802 6859 9248 9826 10336 10982 11456 11552 12172 12274 13604 13718 18496 19652 20672 21964 22912 23104 24344 24548 27208 27436 32041 36992 39304 41344 43928 46208 48688 49096 51731 54416 54872 57817 64082 64619 78608 87856 93347 97376 98192 103462 104329 108832 109744 115634 116603 128164 129238 157216 175712 186694 194752 196384 206924 208658 217664 219488 231268 233206 256328 258476 314432 351424 373388 389504 392768 413848 417316 435328 438976 462536 466412 512656 516952 544697 608779 628864 702848 746776 785536 827696 834632 877952 879427 925072 932824 982889 1025312 1033904 1089394 1098523 1217558 1227761 1493552 1655392 1669264 1758854 1773593 1850144 1865648 1965778 1982251 2050624 2067808 2178788 2197046 2435116 2455522 2987104 3310784 3338528 3517708 3547186 3700288 3731296 3931556 3964502 4101248 4135616 4357576 4394092 4870232 4911044 5974208 6621568 6677056 7035416 7094372 7400576 7462592 7863112 7929004 8271232 8715152 8788184 9259849 9740464 9822088 10349243 11566801 11948416 13354112 14070832 14188744 14925184 15726224 15858008 16709113 17430304 17576368 18519698 18674891 19480928 19644176 20698486 20871937 23133602 28141664 28377488 31452448 31716016 33418226 33698267 34860608 35152736 37039396 37349782 38961856 39288352 41396972 41743874 46267204 56283328 56754976 62904896 63432032 66836452 67396534 69721216 70305472 74078792 74699564 77923712 78576704 82793944 83487748 92534408 112566656 113509952 125809792 126864064 133672904 134793068 140610944 148157584 149399128 157153408 157417433 165587888 166975496 175937131 185068816 196635617 219769219 227019904 253728128 267345808 269586136 296315168 298798256 314834866 317473147 331175776 333950992 351874262 354822929 370137632 393271234 439538438 534691616 539172272 592630336 597596512 629669732 634946294 662351552 667901984 703748524 709645858 740275264 786542468 879076876 1069383232 1078344544 1185260672 1195193024 1259339464 1269892588 1324703104 1335803968 1407497048 1419291716 1480550528 1573084936 1758153752 2138766464 2156689088 2390386048 2518678928 2539785176 2671607936 2814994096 2838583432 2990931227 3146169872 3342805489 3516307504 3736076723 4313378176 5037357856 5079570352 5629988192 5677166864 5981862454 6031989793 6292339744 6685610978 7032615008 7472153446 10074715712 10159140704 11259976384 11354333728 11963724908 12063979586 12584679488 13371221956 14065230016 14944306892 20149431424 20318281408 22519952768 22708667456 23927449816 24127959172 25169358976 26742443912 28130460032 29888613784 40636562816 45417334912 47854899632 48255918344 53484887824 56827693313 59777227568 63513304291 95709799264 96511836688 106969775648 113655386626 119554455136 127026608582 191419598528 193023673376 213939551296 227310773252 239108910272 254053217164 382839197056 386047346752 427879102592 454621546504 478217820544 508106434328 772094693504 909243093008 1016212868656 1079726172947 1818486186016 2032425737312 2159452345894 3636972372032 4064851474624 4318904691788 7273944744064 8129702949248 8637809383576 17275618767152 34551237534304 69102475068608 138204950137216
- Sum of all divisors σ(n): 310519061244000
- Sum of proper divisors (its aliquot sum) s(n): 172314111106784
- 138204950137216 is an abundant number, because the sum of its proper divisors (172314111106784) is greater than itself. Its abundance is 34109160969568
Bases of 138204950137216
- Binary: 111110110110010010110001111010110001001100000002
- Hexadecimal: 0x7DB258F58980
- Base-36: 1CZMH6YRGG
Squares and roots of 138204950137216
- 138204950137216 squared (1382049501372162) is 19100608242430360857228230656
- 138204950137216 cubed (1382049501372163) is 2639798609735584961348509151786376097693696
-
The
square root of 138204950137216 is 11756060.1451853759 -
The
cube root of 138204950137216 is 51702.0622469297
Scales and comparisons
How big is 138204950137216?- 138,204,950,137,216 seconds is equal to 4,394,489 years, 47 weeks, 5 days, 7 hours, 16 seconds.
-
To count from 1 to 138,204,950,137,216 would take you about ten million, nine hundred eighty-six thousand, two hundred twenty-four 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 138204950137216 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138204950137216
- 138204950137216 backwards is 612731059402831
- The number of decimal digits it has is: 15
- The sum of 138204950137216's digits is 52
- More coming soon!
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