138244725129984
138,244,725,129,984 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138244725129984 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
138244725129984 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138244725129984:
28 × 3 × 112 × 19 × 37 × 61 × 113 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 19 × 37 × 61 × 113 × 307)See below for interesting mathematical facts about the number 138244725129984 from the Numbermatics database.
Names of 138244725129984
- Cardinal: 138244725129984 can be written as One hundred thirty-eight trillion, two hundred forty-four billion, seven hundred twenty-five million, one hundred twenty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38244725129984 × 1014
Factors of 138244725129984
Divisors of 138244725129984
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 19 22 24 32 33 37 38 44 48 57 61 64 66 74 76 88 96 111 113 114 121 122 128 132 148 152 176 183 192 209 222 226 228 242 244 256 264 296 304 307 339 352 363 366 384 407 418 444 452 456 484 488 528 592 608 614 627 671 678 703 704 726 732 768 814 836 888 904 912 921 968 976 1056 1159 1184 1216 1221 1228 1243 1254 1342 1356 1406 1408 1452 1464 1628 1672 1776 1808 1824 1842 1936 1952 2013 2109 2112 2147 2257 2299 2318 2368 2432 2442 2456 2486 2508 2684 2712 2812 2816 2904 2928 3256 3344 3377 3477 3552 3616 3648 3684 3729 3872 3904 4026 4181 4218 4224 4294 4477 4514 4598 4636 4736 4864 4884 4912 4972 5016 5368 5424 5624 5808 5833 5856 6441 6512 6688 6754 6771 6893 6897 6954 7104 7232 7296 7368 7381 7458 7733 7744 7808 8052 8362 8436 8448 8588 8954 9028 9196 9272 9472 9768 9824 9944 10032 10131 10736 10848 11248 11359 11616 11666 11712 12543 12749 12882 13024 13376 13431 13508 13542 13673 13786 13794 13908 14208 14464 14592 14736 14762 14916 15466 15488 15616 16104 16724 16872 17176 17499 17908 18056 18392 18544 18727 19536 19648 19888 20064 20262 20679 21472 21696 22143 22496 22718 23199 23232 23332 23424 23617 24827 25086 25498 25764 26048 26752 26862 27016 27084 27346 27572 27588 27816 28416 28928 29472 29524 29832 30932 30976 32208 33448 33744 34077 34352 34691 34998 35816 36112 36784 37088 37147 37454 38247 39072 39296 39776 40128 40524 41019 41358 42883 42944 43392 44286 44992 45436 45991 46398 46464 46664 46848 47234 49654 50172 50996 51528 52096 53504 53724 54032 54168 54692 55144 55176 55632 56181 58944 59048 59664 61864 64163 64416 66896 67488 68154 68704 69382 69996 70851 71632 72224 73568 74176 74294 74481 74908 75823 76494 78144 78592 79439 79552 80256 81048 82038 82716 85063 85766 85888 86784 88572 89984 90872 91982 92796 92928 93328 94468 99308 100344 101992 103056 104073 104192 107448 108064 108336 109384 110288 110352 111264 111441 112362 117888 118096 119328 123728 124949 128326 128649 128832 130967 133792 134976 136308 137408 137973 138764 139992 140239 141702 143264 144448 147136 148352 148588 148962 149816 151646 152988 156288 158878 159104 160512 162096 164076 165432 170126 171532 171776 177144 179968 181744 183964 185592 186656 188936 192489 198616 200688 203984 205997 206112 208146 214896 215821 216128 216672 218768 220576 220704 222528 222882 224724 227469 235776 236192 238317 238656 247456 249898 255041 255189 256652 257298 257664 259787 261934 267584 269952 272616 273097 274816 275946 277528 279984 280478 283404 286528 288896 294272 296704 297176 297924 299632 303292 305976 312576 317756 318208 324192 328152 330864 340252 343064 354288 355813 363488 367928 371184 373312 374847 377872 381601 384978 392901 397232 401376 407968 411994 412224 416292 420717 429792 431642 432256 433344 437536 441152 441408 445056 445764 449448 454938 471713 472384 476634 477312 494912 499796 505901 510082 510378 513304 514596 515328 519574 523868 535168 539904 545232 546194 549632 551892 555056 559968 560956 566808 573056 577792 588544 594352 595848 599264 606584 611952 617991 635512 647463 648384 656304 659129 661728 680504 686128 692899 705793 708576 711626 726976 735856 742368 746624 749694 755744 763202 765123 769956 779361 785802 794464 802752 815936 819291 823988 824448 832584 834053 841434 859584 863284 864512 866688 873829 875072 882304 882816 890112 891528 898896 909876 943426 944768 953268 954624 989824 999592 1011802 1020164 1020756 1026608 1029192 1039148 1047736 1067439 1070336 1090464 1092388 1103784 1110112 1119936 1121912 1133616 1144803 1146112 1188704 1191696 1198528 1213168 1223904 1235982 1271024 1283567 1294926 1296768 1312608 1318258 1323456 1361008 1372256 1374439 1385798 1411586 1415139 1417152 1423252 1440637 1453952 1471712 1484736 1493248 1499388 1511488 1517703 1526404 1530246 1539912 1558722 1571604 1588928 1605504 1631872 1638582 1647976 1648896 1665168 1668106 1682868 1719168 1726568 1733376 1747658 1750144 1764608 1765632 1783056 1797792 1819752 1886852 1889536 1906536 1977387 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30066273408 30625769856 30878875392 32194859136 32728391366 32774946688 33064990464 34337984384 35411046396 35703699672 37072868096 37525712576 37896032108 38231395224 38920249192 39759771392 40937140992 41341125936 42458453664 47214728528 47604932896 49092587049 49162420032 50975193632 51506976576 55121501248 55609302144 56288568864 56611271552 56844048162 58380373788 59639657088 60132546816 61251539712 64389718272 65456782732 65549893376 68675968768 70822092792 71407399344 75051425152 75792064216 76462790448 77840498384 82682251872 84916907328 94429457056 95209865792 98185174098 98324840064 101950387264 103013953152 110243002496 111218604288 112577137728 113222543104 113688096324 116760747576 119279314176 130913565464 141644185584 142814798688 150102850304 151584128432 152925580896 155680996768 165364503744 169833814656 180006152513 188858914112 190419731584 196370348196 196649680128 203900774528 206027906304 220486004992 225154275456 227376192648 233521495152 261827130928 283288371168 285629597376 303168256864 305851161792 311361993536 330729007488 339667629312 360012305026 377717828224 380839463168 392740696392 407801549056 450308550912 454752385296 467042990304 523654261856 540018457539 566576742336 571259194752 606336513728 611702323584 622723987072 661458014976 720024610052 755435656448 785481392784 909504770592 934085980608 1047308523712 1080036915078 1133153484672 1142518389504 1212673027456 1223404647168 1245447974144 1440049220104 1570962785568 1819009541184 1868171961216 2094617047424 2160073830156 2266306969344 2425346054912 2880098440208 3141925571136 3638019082368 3736343922432 4189234094848 4320147660312 5760196880416 6283851142272 7276038164736 8640295320624 11520393760832 12567702284544 17280590641248 23040787521664 34561181282496 46081575043328 69122362564992 138244725129984
- Sum of all divisors σ(n): 449773001018880
- Sum of proper divisors (its aliquot sum) s(n): 311528275888896
- 138244725129984 is an abundant number, because the sum of its proper divisors (311528275888896) is greater than itself. Its abundance is 173283550758912
Bases of 138244725129984
- Binary: 111110110111011100110111011101111000011000000002
- Hexadecimal: 0x7DBB9BBBC300
- Base-36: 1D04QZYWAO
Squares and roots of 138244725129984
- 138244725129984 squared (1382447251299842) is 19111604026264829685695840256
- 138244725129984 cubed (1382447251299843) is 2642078445404076894820865491700137699835904
-
The
square root of 138244725129984 is 11757751.7038753627 -
The
cube root of 138244725129984 is 51707.0216734949
Scales and comparisons
How big is 138244725129984?- 138,244,725,129,984 seconds is equal to 4,395,754 years, 33 weeks, 2 days, 6 minutes, 24 seconds.
-
To count from 1 to 138,244,725,129,984 would take you about ten million, nine hundred eighty-nine thousand, three hundred eighty-six 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 138244725129984 cubic inches would be around 4308.9 feet tall.
Recreational maths with 138244725129984
- 138244725129984 backwards is 489921527442831
- The number of decimal digits it has is: 15
- The sum of 138244725129984's digits is 69
- More coming soon!
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"Number 138244725129984 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138244725129984 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138244725129984/
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The information we have on file for 138244725129984 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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