138733659010824048
138,733,659,010,824,048 is an even composite number composed of six prime numbers multiplied together.
138733659010824048 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138733659010824048:
24 × 32 × 173 × 29 × 313 × 613
(2 × 2 × 2 × 2 × 3 × 3 × 17 × 17 × 17 × 29 × 31 × 31 × 31 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138733659010824048 from the Numbermatics database.
Names of 138733659010824048
- Cardinal: 138733659010824048 can be written as One hundred thirty-eight quadrillion, seven hundred thirty-three trillion, six hundred fifty-nine billion, ten million, eight hundred twenty-four thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38733659010824048 × 1017
Factors of 138733659010824048
Divisors of 138733659010824048
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 29 31 34 36 48 51 58 61 62 68 72 87 93 102 116 122 124 136 144 153 174 183 186 204 232 244 248 261 272 279 289 306 348 366 372 408 464 488 493 496 522 527 549 558 578 612 696 732 744 816 867 899 961 976 986 1037 1044 1054 1098 1116 1156 1224 1392 1464 1479 1488 1581 1734 1769 1798 1891 1922 1972 2074 2088 2108 2196 2232 2312 2448 2601 2697 2883 2928 2958 3111 3162 3468 3538 3596 3721 3782 3844 3944 4148 4176 4216 4392 4437 4464 4624 4743 4913 5202 5307 5394 5673 5766 5916 6222 6324 6936 7076 7192 7442 7564 7688 7888 8091 8296 8381 8432 8649 8784 8874 8959 9333 9486 9826 10404 10614 10788 11163 11346 11532 11832 12444 12648 13872 14152 14384 14739 14884 15128 15283 15376 15921 16182 16337 16592 16762 17019 17298 17629 17748 17918 18666 18972 19652 20808 21228 21576 22326 22692 23064 23664 24888 25143 25296 26877 27869 28304 29478 29768 29791 30073 30256 30566 31842 32147 32364 32674 33489 33524 34038 34596 35258 35496 35836 37332 37944 39304 41616 42456 43152 44217 44652 45384 45849 46128 49011 49776 50286 52887 53754 54839 55738 58621 58956 59536 59582 60146 61132 63257 63684 64294 64728 65348 66978 67048 68076 69192 70516 70992 71672 74664 75429 75888 78608 80631 83607 84912 88434 89304 89373 90219 90768 91698 96441 98022 100572 105774 107508 107909 109678 111476 115351 117242 117912 119164 120292 122264 126514 127368 128588 129456 130696 133956 134096 136152 137547 138384 141032 142477 143344 147033 149328 150858 152303 158661 161262 164517 167214 175863 176868 178608 178746 180438 183396 189771 192882 196044 201144 211548 215016 215818 219356 222952 226981 230702 234484 235824 238328 240584 244528 250821 253028 254736 257176 259811 261392 267912 268119 270657 272304 275094 277729 282064 284954 289323 294066 299693 301716 304606 317322 322524 323727 329034 334428 346053 351726 353736 357492 360876 366792 379542 385764 392088 402288 423096 427431 430032 431636 438712 445904 453962 456909 461404 468968 473773 476656 481168 493551 501642 506056 506447 511241 514352 519622 527589 535824 536238 541314 546499 550188 555458 569313 569908 578646 588132 599386 603432 609212 634644 645048 647454 658068 668856 680943 692106 703452 707472 714984 721752 733584 759084 771528 779433 784176 833187 846192 854862 863272 863939 877424 899079 907924 913818 922808 932263 937936 947546 971181 987102 996557 1003284 1012112 1012894 1022482 1038159 1039244 1055178 1072476 1075369 1082628 1092998 1100376 1110916 1138626 1139816 1157292 1176264 1198772 1206864 1218424 1269288 1282293 1290096 1294908 1316136 1337712 1361886 1370727 1384212 1406904 1421319 1429968 1443504 1518168 1519341 1533723 1543056 1558866 1639497 1666374 1700009 1709724 1726544 1727878 1798158 1815848 1817251 1827636 1834453 1845616 1864526 1895092 1942362 1960967 1974204 1993114 2006568 2025788 2042829 2044964 2076318 2078488 2110356 2144952 2150738 2165256 2185996 2200752 2221832 2277252 2279632 2314584 2338299 2352528 2397544 2436848 2499561 2538576 2564586 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235888642364 239755669288 243431674956 243686090096 249764444856 252156824596 253858943952 256290543032 258716575496 258916470727 262957830832 266989578984 269725127949 271366457328 273935197584 274146851358 276559097944 281092853648 288326860911 291056147433 292827280176 295827559686 300677191812 303635207472 305606326104 311128985187 316229460354 321413549868 322612407939 324575566608 327901135938 344861539521 353832963546 359633503932 365529135144 378235236894 384435814548 388074863244 392195476318 394436746248 400902922416 414838646916 421639280472 428551399824 430149877252 437201514584 455452811208 459815386028 462919250736 471777284728 479511338576 486863349912 491851703907 499528889712 504313649192 509480797237 512581086064 517433150992 517832941454 530749445319 533979157968 539450255898 544617403943 548293702716 553118195888 567352855341 576653721822 582112294866 588293214477 591655119372 601354383624 611212652208 622257970374 632458920708 642827099736 645224815878 655802271876 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2330248236543 2353172857908 2366620477488 2489031881496 2529835682832 2580899263512 2623209087504 2758892316168 2787159655473 2830663708368 3007580190141 3025881895152 3056884783422 3106997648724 3137563810544 3214999513599 3267704423658 3333661548703 3529759286862 3656273956642 3716212873964 3871348895268 3908430781238 3934813631256 4010106920188 4075846377896 4138338474252 4142663531632 4245995562552 4286666018132 4315602047184 4356939231544 4538822842728 4585327175133 4613229774576 4656898358928 4660496473086 4706345715816 4901556635487 4978063762992 5161798527024 5484410934963 5517784632336 5574319310946 5862646171857 6015160380282 6113769566844 6213995297448 6429999027198 6535408847316 6667323097406 7059518573724 7312547913284 7432425747928 7742697790536 7816861562476 7869627262512 8020213840376 8151692755792 8276676948504 8361478966419 8491991125104 8573332036264 8713878463088 9022740570423 9077645685456 9170654350266 9320992946172 9412691431632 9644998540797 9803113270974 10000984646109 10968821869926 11148638621892 11725292343714 12030320760564 12227539133688 12427990594896 12859998054396 13070817694632 13334646194812 14119037147448 14625095826568 14864851495856 15485395581072 15633723124952 15793904714347 16040427680752 16453232804889 16553353897008 16722957932838 17146664072528 17587938515571 18045481140846 18341308700532 18641985892344 19289997081594 19606226541948 20001969292218 21937643739852 22297277243784 23450584687428 24060641521128 24455078267376 25719996108792 26141635389264 26669292389624 28238074294896 29250191653136 30002953938327 31078328631457 31267446249904 31587809428694 32906465609778 33221661640523 33445915865676 35175877031142 36090962281692 36682617401064 37283971784688 38579994163188 39212453083896 40003938584436 43875287479704 44594554487568 46901169374856 47381714143041 48121283042256 51439992217584 53338584779248 56672246327951 60005907876654 62156657262914 63175618857388 65812931219556 66443323281046 66891831731352 70351754062284 72181924563384 73365234802128 77159988326376 78424906167792 80007877168872 87750574959408 93234985894371 93802338749712 94763428286082 99664984921569 113344492655902 120011815753308 124313314525828 126351237714776 131625862439112 132886646562092 133783663462704 140703508124568 142145142429123 144363849126768 154319976652752 160015754337744 170016738983853 186469971788742 189526856572164 199329969843138 226688985311804 240023631506616 248626629051656 252702475429552 263251724878224 265773293124184 279704957683113 281407016249136 284290284858246 298994954764707 340033477967706 372939943577484 379053713144328 398659939686276 453377970623608 480047263013232 497253258103312 510050216951559 531546586248368 559409915366226 568580569716492 597989909529414 680066955935412 745879887154968 758107426288656 797319879372552 906755941247216 963428187575167 1020100433903118 1118819830732452 1137161139432984 1195979819058828 1360133911870824 1491759774309936 1594639758745104 1926856375150334 2040200867806236 2237639661464904 2274322278865968 2391959638117656 2720267823741648 2890284562725501 3853712750300668 4080401735612472 4475279322929808 4783919276235312 5780569125451002 7707425500601336 8160803471224944 8670853688176503 11561138250902004 15414851001202672 17341707376353006 23122276501804008 34683414752706012 46244553003608016 69366829505412024 138733659010824048
- Sum of all divisors σ(n): 448321857007564800
- Sum of proper divisors (its aliquot sum) s(n): 309588197996740752
- 138733659010824048 is an abundant number, because the sum of its proper divisors (309588197996740752) is greater than itself. Its abundance is 170854538985916704
Bases of 138733659010824048
- Binary: 1111011001110000110000111000111111011101011110111011100002
- Hexadecimal: 0x1ECE1871FBAF770
- Base-36: 11Y0Z73M48S0
Squares and roots of 138733659010824048
- 138733659010824048 squared (1387336590108240482) is 19247028142531600568580424015106304
- 138733659010824048 cubed (1387336590108240483) is 2670210639297713226477755545458310629286199359598592
-
The
square root of 138733659010824048 is 372469675.2902497001 -
The
cube root of 138733659010824048 is 517679.0782738325
Scales and comparisons
How big is 138733659010824048?- 138,733,659,010,824,048 seconds is equal to 4,411,301,225 years, 8 weeks, 2 days, 14 hours, 40 minutes, 48 seconds.
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To count from 1 to 138,733,659,010,824,048 would take you about thirteen billion, two hundred thirty-three million, nine hundred three thousand, six hundred seventy-five 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 138733659010824048 cubic inches would be around 43139.9 feet tall.
Recreational maths with 138733659010824048
- 138733659010824048 backwards is 840428010956337831
- 138733659010824048 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138733659010824048's digits is 72
- More coming soon!
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The information we have on file for 138733659010824048 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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