138715643910645648
138,715,643,910,645,648 is an even composite number composed of eight prime numbers multiplied together.
138715643910645648 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138715643910645648:
24 × 33 × 7 × 11 × 17 × 19 × 41 × 314894149
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 17 × 19 × 41 × 314894149)See below for interesting mathematical facts about the number 138715643910645648 from the Numbermatics database.
Names of 138715643910645648
- Cardinal: 138715643910645648 can be written as One hundred thirty-eight quadrillion, seven hundred fifteen trillion, six hundred forty-three billion, nine hundred ten million, six hundred forty-five thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38715643910645648 × 1017
Factors of 138715643910645648
Divisors of 138715643910645648
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 19 21 22 24 27 28 33 34 36 38 41 42 44 48 51 54 56 57 63 66 68 72 76 77 82 84 88 99 102 108 112 114 119 123 126 132 133 136 144 152 153 154 164 168 171 176 187 189 198 204 209 216 228 231 238 246 252 264 266 272 287 297 304 306 308 323 328 336 342 357 369 374 378 396 399 408 418 432 451 456 459 462 476 492 504 513 528 532 561 574 594 612 616 627 646 656 684 693 697 714 738 748 756 779 792 798 816 836 861 902 912 918 924 952 969 984 1008 1026 1064 1071 1107 1122 1148 1188 1197 1224 1232 1254 1292 1309 1353 1368 1386 1394 1428 1463 1476 1496 1512 1558 1584 1596 1672 1683 1722 1804 1836 1848 1881 1904 1938 1968 2052 2079 2091 2128 2142 2214 2244 2261 2296 2337 2376 2394 2448 2508 2583 2584 2618 2706 2736 2772 2788 2856 2907 2926 2952 2992 3024 3116 3157 3192 3213 3344 3366 3444 3553 3591 3608 3672 3696 3762 3876 3927 4059 4104 4158 4182 4284 4389 4428 4488 4522 4592 4674 4752 4788 4879 5016 5049 5166 5168 5236 5412 5453 5544 5576 5643 5712 5814 5852 5904 6232 6273 6314 6384 6426 6732 6783 6888 7011 7106 7182 7216 7344 7524 7667 7749 7752 7854 8118 8208 8316 8364 8568 8569 8721 8778 8856 8976 9044 9348 9471 9576 9758 10032 10098 10332 10472 10659 10824 10906 11088 11152 11286 11628 11704 11781 12177 12464 12546 12628 12852 13167 13243 13464 13566 13776 14022 14212 14364 14637 15048 15334 15498 15504 15708 16236 16359 16632 16728 17136 17138 17442 17556 17712 18088 18696 18819 18942 19152 19516 20196 20349 20664 20944 21033 21318 21648 21812 22572 23001 23256 23408 23562 24354 24871 25092 25256 25704 25707 26334 26486 26928 27132 28044 28413 28424 28728 29274 30096 30668 30996 31416 31977 32472 32718 33264 33456 34276 34884 35112 35343 36176 37392 37638 37884 39032 39501 39729 40392 40698 41328 42066 42636 43624 43911 45144 46002 46512 47124 48708 49077 49742 50184 50512 51408 51414 52668 52972 53669 54264 56088 56826 56848 57456 58548 59983 61047 61336 61992 62832 63954 64944 65436 68552 69003 69768 70224 70686 74613 75276 75768 77121 78064 79002 79458 80784 81396 84132 85239 85272 87248 87822 90288 92004 92701 94248 95931 97416 98154 99484 100368 102828 105336 105944 107338 108528 112176 113652 117096 119187 119966 122094 122672 123984 127908 130872 131733 137104 138006 139536 141372 145673 147231 149226 150552 151536 154242 158004 158916 161007 162792 168264 170478 170544 175644 179949 184008 185402 188496 191862 194832 196308 198968 205656 207009 210672 211888 214676 223839 227304 231363 234192 238374 239932 244188 255816 261744 263466 276012 278103 282744 291346 294462 298452 301104 308484 316008 317832 322014 325584 336528 340956 351288 357561 359898 368016 370804 383724 392616 397936 411312 414018 429352 437019 447678 454608 462726 476748 479864 483021 488376 511632 526932 539847 552024 556206 565488 582692 588924 596904 616968 632016 635664 644028 671517 681912 702576 715122 719796 741608 767448 785232 828036 834309 858704 874038 895356 925452 953496 959728 966042 976752 1019711 1053864 1079694 1104048 1112412 1165384 1177848 1193808 1233936 1288056 1311057 1343034 1363824 1430244 1439592 1449063 1483216 1534896 1619541 1656072 1668618 1748076 1790712 1850904 1906992 1932084 2039422 2107728 2159388 2224824 2330768 2355696 2502927 2576112 2622114 2686068 2860488 2879184 2898126 3059133 3239082 3312144 3337236 3496152 3581424 3701808 3864168 3933171 4078844 4318776 4449648 5005854 5244228 5372136 5720976 5796252 6118266 6478164 6674472 6992304 7728336 7866342 8157688 8637552 9177399 10011708 10488456 10744272 11592504 12236532 12956328 13348944 15732684 16315376 18354798 20023416 20976912 23185008 24473064 25912656 27532197 31465368 36709596 40046832 48946128 55064394 62930736 73419192 110128788 146838384 220257576 314894149 440515152 629788298 944682447 1259576596 1889364894 2204259043 2519153192 2834047341 3463835639 3778729788 4408518086 5038306384 5353200533 5668094682 5982988831 6612777129 6927671278 7557459576 8502142023 8817036172 10391506917 10706401066 11336189364 11965977662 12910660109 13225554258 13855342556 15114919152 16059601599 17004284046 17634072344 17948966493 19838331387 20783013834 21412802132 22672378728 23931955324 24246849473 25821320218 26451108516 27710685112 31174520751 32119203198 34008568092 35268144688 35897932986 37472403731 38731980327 39676662774 41566027668 41880921817 42825604264 45344757456 47863910648 48178804797 48493698946 51642640436 52902217032 53846899479 55421370224 58885205863 59514994161 62349041502 64238406396 65812877141 68017136184 71795865972 72740548419 74944807462 77463960654 79353325548 83132055336 83761843634 85651208528 90374620763 93523562253 95727821296 96357609594 96987397892 101710810127 103285280872 105804434064 107693798958 112417211193 116195940981 117770411726 119029988322 124698083004 125642765451 128476812792 131625754282 136034272368 142017261199 143591731944 144536414391 145481096838 149889614924 154927921308 158706651096 161540698437 166264110672 167523687268 176655617589 180749241526 187047124506 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2556310701582 2584651174992 2618659743084 2633774662236 2698013068632 2698327962781 2746191873429 2764140839922 2788702583544 2826489881424 2847902683556 2943630504852 2982362485179 3015426370824 3072737105942 3159018102768 3179801116602 3253486347468 3297571528328 3356456734191 3408414268776 3434235588994 3491546324112 3511699549648 3553895365614 3661589164572 3685521119896 3709767969369 3834466052373 3924840673136 3950661993354 3976483313572 4047019602948 4146211259883 4170143215207 4239734822136 4271854025334 4337981796624 4415445757278 4475275645588 4523139556236 4609105658913 4738527154152 4828586880766 4880229521202 4882118886096 4946357292492 5112621403164 5151353383491 5237319486168 5267549324472 5396026137264 5396655925562 5492383746858 5528281679844 5577405167088 5695805367112 5887261009704 5925992990031 5964724970358 6030852741648 6145474211884 6359602233204 6407781038001 6506972694936 6595143056656 6623168635917 6712913468382 6816828537552 6868471177988 7107790731228 7242880321149 7323178329144 7371042239792 7419535938738 7668932104746 7831732379779 7901323986708 7952966627144 8094039205896 8094983888343 8292422519766 8340286430414 8479469644272 8543708050668 8830891514556 8947087455537 8950551291176 9046279112472 9218211317826 9477054308304 9657173761532 9760459042404 9892714584984 10069370202573 10225242806328 10302706766982 10474638972336 10535098648944 10793311851124 10984767493716 11056563359688 11129303908107 11391610734224 11774522019408 11851985980062 11929449940716 12290948423768 12438633779649 12510429645621 12719204466408 12815562076002 13013945389872 13246337271834 13425826936764 13736942355976 13827316976739 14215581462456 14485760642298 14646356658288 14839071877476 15337864209492 15454060150473 15663464759558 15802647973416 15905933254288 16188078411792 16189967776686 16584845039532 16680572860828 16900054082681 17087416101336 17661783029112 17894174911074 17901102582352 18092558224944 18436422635652 18888295739467 19223343114003 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53703307747056 55309267906956 56664887218401 57943042569192 58382005012898 59356287509904 60416221215438 61351456837968 61816240601892 62653859038232 64759871106744 65185922890341 66339380158128 66722291443312 67600216330724 70485591418011 71576699644296 72854854995087 73745690542608 75062577873726 75553182957868 76893372456012 80554961620584 82421654135856 82963901860434 86914563853788 87573007519347 89034431264856 91743150734554 92724360902838 93980788557348 94815887840496 97139806660116 99509070237192 100083437164968 101400324496086 102524496608016 105970698174672 107365049466444 110618535813912 112593866810589 113329774436802 115886085138384 116764010025796 120832442430876 123632481203784 125307718076464 129519742213488 130371845780682 135200432661448 137614726101831 140971182836022 143153399288592 145709709990174 150125155747452 151106365915736 152100486744129 153786744912024 161109923241168 165927803720868 169994661655203 173829127707576 175146015038694 178068862529712 183486301469108 185448721805676 187961577114696 194279613320232 199018140474384 200166874329936 202800648992172 211456774254033 214730098932888 221237071627824 225187733621178 226659548873604 233528020051592 241664884861752 247264962407568 260743691561364 262719022558041 270400865322896 275229452203662 281942365672044 291419419980348 300250311494904 302212731831472 304200973488258 307573489824048 321101027570939 331855607441736 339989323310406 347658255415152 350292030077388 366972602938216 370897443611352 375923154229392 388559226640464 405601297984344 412844178305493 422913548508066 429460197865776 450375467242356 453319097747208 456301460232387 467056040103184 483329769723504 509983984965609 521487383122728 525438045116082 550458904407324 563884731344088 582838839960696 600500622989808 608401946976516 642202055141878 663711214883472 679978646620812 700584060154776 733945205876432 741794887222704 788157067674123 811202595968688 825688356610986 845827097016132 900750934484712 906638195494416 912602920464774 963303082712817 1019967969931218 1042974766245456 1050876090232164 1100917808814648 1127769462688176 1165677679921392 1216803893953032 1238532534916479 1284404110283756 1359957293241624 1401168120309552 1576314135348246 1651376713221972 1691654194032264 1801501868969424 1825205840929548 1926606165425634 2039935939862436 2101752180464328 2201835617629296 2433607787906064 2477065069832958 2568808220567512 2719914586483248 2889909248138451 3152628270696492 3302753426443944 3383308388064528 3650411681859096 3853212330851268 4079871879724872 4203504360928656 4954130139665916 5137616441135024 5779818496276902 6305256541392984 6605506852887888 7300823363718192 7706424661702536 8159743759449744 8669727744415353 9908260279331832 11559636992553804 12610513082785968 15412849323405072 17339455488830706 19816520558663664 23119273985107608 34678910977661412 46238547970215216 69357821955322824 138715643910645648
- Sum of all divisors σ(n): 566773194193920000
- Sum of proper divisors (its aliquot sum) s(n): 428057550283274352
- 138715643910645648 is an abundant number, because the sum of its proper divisors (428057550283274352) is greater than itself. Its abundance is 289341906372628704
Bases of 138715643910645648
- Binary: 1111011001101000100100100101010000001010101100111100100002
- Hexadecimal: 0x1ECD124A8156790
- Base-36: 11XULB2SLVO0
Squares and roots of 138715643910645648
- 138715643910645648 squared (1387156439106456482) is 19242029865545043044218824221339904
- 138715643910645648 cubed (1387156439106456483) is 2669170562946954947086110230757682941758444306337792
-
The
square root of 138715643910645648 is 372445491.1938734263 -
The
cube root of 138715643910645648 is 517656.6697628653
Scales and comparisons
How big is 138715643910645648?- 138,715,643,910,645,648 seconds is equal to 4,410,728,400 years, 36 weeks, 2 days, 16 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,715,643,910,645,648 would take you about thirteen billion, two hundred thirty-two million, one hundred eighty-five thousand, two hundred two 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 138715643910645648 cubic inches would be around 43138.1 feet tall.
Recreational maths with 138715643910645648
- 138715643910645648 backwards is 846546019346517831
- The number of decimal digits it has is: 18
- The sum of 138715643910645648's digits is 81
- More coming soon!
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"Number 138715643910645648 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138715643910645648 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138715643910645648/
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The information we have on file for 138715643910645648 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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