138512979959040
138,512,979,959,040 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138512979959040 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
138512979959040 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 138512979959040:
28 × 32 × 5 × 23 × 29 × 31 × 151 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 29 × 31 × 151 × 3851)See below for interesting mathematical facts about the number 138512979959040 from the Numbermatics database.
Names of 138512979959040
- Cardinal: 138512979959040 can be written as One hundred thirty-eight trillion, five hundred twelve billion, nine hundred seventy-nine million, nine hundred fifty-nine thousand and forty.
Scientific notation
- Scientific notation: 1.3851297995904 × 1014
Factors of 138512979959040
Divisors of 138512979959040
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 29 30 31 32 36 40 45 46 48 58 60 62 64 69 72 80 87 90 92 93 96 115 116 120 124 128 138 144 145 151 155 160 174 180 184 186 192 207 230 232 240 248 256 261 276 279 288 290 302 310 320 345 348 360 368 372 384 414 435 453 460 464 465 480 496 522 552 558 576 580 604 620 640 667 690 696 713 720 736 744 755 768 828 870 899 906 920 928 930 960 992 1035 1044 1104 1116 1152 1160 1208 1240 1280 1305 1334 1359 1380 1392 1395 1426 1440 1472 1488 1510 1656 1740 1798 1812 1840 1856 1860 1920 1984 2001 2070 2088 2139 2208 2232 2265 2304 2320 2416 2480 2610 2668 2697 2718 2760 2784 2790 2852 2880 2944 2976 3020 3312 3335 3473 3480 3565 3596 3624 3680 3712 3720 3840 3851 3968 4002 4140 4176 4278 4379 4416 4464 4495 4530 4640 4681 4832 4960 5220 5336 5394 5436 5520 5568 5580 5704 5760 5888 5952 6003 6040 6417 6624 6670 6795 6946 6960 7130 7192 7248 7360 7424 7440 7702 7936 8004 8091 8280 8352 8556 8758 8832 8928 8990 9060 9280 9362 9664 9920 10005 10419 10440 10672 10695 10788 10872 11040 11136 11160 11408 11520 11553 11904 12006 12080 12834 13137 13248 13340 13485 13590 13892 13920 14043 14260 14384 14496 14720 14880 15404 16008 16182 16560 16704 17112 17365 17516 17664 17856 17980 18120 18560 18724 19255 19328 19840 20010 20677 20838 20880 21344 21390 21576 21744 21895 22080 22272 22320 22816 23106 23405 23808 24012 24160 25668 26274 26496 26680 26970 27180 27784 27840 28086 28520 28768 28992 29440 29760 30015 30808 31257 32016 32085 32364 33120 33408 34224 34659 34730 35032 35712 35960 36240 37120 37448 38510 38656 39411 39680 40020 40455 41354 41676 41760 42129 42688 42780 43152 43488 43790 44160 44640 45632 46212 46810 48024 48320 51336 52095 52548 52992 53360 53940 54360 55568 55680 56172 57040 57536 57765 57984 59520 60030 61616 62031 62514 64032 64170 64728 65685 66240 66816 68448 69318 69460 70064 70215 71424 71920 72480 74896 77020 78822 80040 80910 82708 83352 83520 84258 85376 85560 86304 86976 87580 88320 88573 89280 91264 92424 93620 96048 96640 100717 102672 103385 104190 105096 106720 107663 107880 108720 111136 111360 111679 112344 114080 115072 115530 115968 119040 119381 120060 123232 124062 125028 128064 128340 129456 131370 132480 135749 136896 138636 138920 140128 140430 143840 144960 149792 154040 156285 157644 160080 161820 165416 166704 167040 168516 170752 171120 172608 173295 173952 175160 177146 178560 182528 184848 186093 187240 192096 193280 197055 201434 205344 206770 208380 210192 210645 213440 215326 215760 217440 222272 223358 224688 228160 230144 231060 238762 240120 246464 248124 250056 256128 256680 258912 262740 264960 265719 271498 273792 277272 277840 280256 280860 287680 289920 299584 302151 308080 310155 312570 315288 320160 322989 323640 330832 333408 334080 335037 337032 342240 345216 346590 347904 350320 354292 357120 358143 369696 372186 374480 384192 394110 402868 407247 410688 413540 416760 420384 421290 426880 430652 431520 434880 442865 444544 446716 449376 456320 462120 477524 480240 492928 496248 500112 503585 512256 513360 517824 525480 531438 538315 542996 547584 554544 555680 558395 560512 561720 575360 579840 581501 596905 599168 604302 616160 620310 625140 630576 640320 645978 647280 661664 666816 670074 674064 678745 684480 690432 693180 700640 708584 716286 739392 744372 748960 768384 788220 797157 805736 814494 821376 827080 833520 840768 842580 853760 861304 863040 869760 885730 889088 893432 898752 906453 912640 924240 930465 955048 960480 968967 985856 992496 1000224 1005111 1007170 1026720 1035648 1050960 1062876 1074429 1076630 1085992 1109088 1111360 1116790 1121024 1123440 1150720 1163002 1193810 1198336 1208604 1221741 1232320 1240620 1250280 1261152 1280640 1291956 1294560 1323328 1328595 1333632 1340148 1348128 1357490 1368960 1386360 1401280 1417168 1432572 1478784 1488744 1497920 1510755 1536768 1576440 1594314 1611472 1614945 1628988 1642752 1654160 1667040 1675185 1681536 1685160 1722608 1726080 1739520 1744503 1771460 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64755951360 66337634080 66914483072 69221879040 69815010060 72142177062 74469344064 74629838340 75278793456 76442041920 77037252480 79605160896 83643103840 91730450304 93086680080 94098491820 96189569416 97133927040 99292458752 99506451120 100371724608 101922722560 103832818560 106140214528 108213265593 111704016096 114663062880 119407741344 120236961770 124115573440 125464655760 132675268160 133828966144 139630020120 144284354124 148938688128 149259676680 150557586912 152884083840 154074504960 159210321792 167286207680 180355442655 183460900608 186173360160 188196983640 192379138832 194267854080 199012902240 200743449216 207665637120 216426531186 223408032192 229326125760 238815482688 240473923540 248231146880 250929311520 265350536320 279260040240 288568708248 297877376256 298519353360 301115173824 305768167680 318420643584 334572415360 360710885310 372346720320 376393967280 384758277664 398025804480 401486898432 432853062372 446816064384 458652251520 477630965376 480947847080 496462293760 501858623040 530701072640 541066327965 558520080480 577137416496 597038706720 602230347648 669144830720 721421770620 744693440640 752787934560 769516555328 796051608960 865706124744 893632128768 917304503040 955261930752 961895694160 1003717246080 1082132655930 1117040160960 1154274832992 1194077413440 1204460695296 1442843541240 1489386881280 1505575869120 1539033110656 1592103217920 1731412249488 1923791388320 2007434492160 2164265311860 2234080321920 2308549665984 2388154826880 2885687082480 3011151738240 3078066221312 3462824498976 3847582776640 4328530623720 4468160643840 4617099331968 4776309653760 5771374164960 6022303476480 6925648997952 7695165553280 8657061247440 9234198663936 11542748329920 13851297995904 15390331106560 17314122494880 23085496659840 27702595991808 34628244989760 46170993319680 69256489979520 138512979959040
- Sum of all divisors σ(n): 537684904673280
- Sum of proper divisors (its aliquot sum) s(n): 399171924714240
- 138512979959040 is an abundant number, because the sum of its proper divisors (399171924714240) is greater than itself. Its abundance is 260658944755200
Bases of 138512979959040
- Binary: 111110111111010000100001111011110011101000000002
- Hexadecimal: 0x7DFA10F79D00
- Base-36: 1D3JZFYV40
Squares and roots of 138512979959040
- 138512979959040 squared (1385129799590402) is 19185845617133416680077721600
- 138512979959040 cubed (1385129799590403) is 2657488649463236365461487103210384523264000
-
The
square root of 138512979959040 is 11769153.7486363057 -
The
cube root of 138512979959040 is 51740.4447599937
Scales and comparisons
How big is 138512979959040?- 138,512,979,959,040 seconds is equal to 4,404,284 years, 16 weeks, 2 days, 6 hours, 24 minutes.
-
To count from 1 to 138,512,979,959,040 would take you about eleven million, ten thousand, seven hundred ten 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 138512979959040 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138512979959040
- 138512979959040 backwards is 040959979215831
- 138512979959040 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138512979959040's digits is 72
- More coming soon!
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"Number 138512979959040 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138512979959040 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138512979959040/
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The information we have on file for 138512979959040 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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