138042528624
138,042,528,624 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138042528624 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1080 divisors.
138042528624 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138042528624:
24 × 32 × 7 × 112 × 132 × 37 × 181
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 13 × 13 × 37 × 181)See below for interesting mathematical facts about the number 138042528624 from the Numbermatics database.
Names of 138042528624
- Cardinal: 138042528624 can be written as One hundred thirty-eight billion, forty-two million, five hundred twenty-eight thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.38042528624 × 1011
Factors of 138042528624
Divisors of 138042528624
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 33 36 37 39 42 44 48 52 56 63 66 72 74 77 78 84 88 91 99 104 111 112 117 121 126 132 143 144 148 154 156 168 169 176 181 182 198 208 222 231 234 242 252 259 264 273 286 296 308 312 333 336 338 362 363 364 396 407 429 444 462 468 481 484 504 507 518 528 543 546 572 592 616 624 666 676 693 724 726 728 777 792 814 819 847 858 888 924 936 962 968 1001 1008 1014 1036 1086 1089 1092 1144 1183 1221 1232 1267 1287 1332 1352 1386 1443 1448 1452 1456 1521 1554 1573 1584 1628 1629 1638 1694 1716 1776 1848 1859 1872 1924 1936 1991 2002 2028 2072 2172 2178 2184 2288 2331 2353 2366 2442 2534 2541 2574 2664 2704 2772 2849 2886 2896 2904 3003 3042 3108 3146 3256 3258 3276 3367 3388 3432 3549 3663 3696 3718 3801 3848 3982 4004 4056 4144 4329 4344 4356 4368 4477 4662 4706 4719 4732 4884 5068 5082 5148 5291 5328 5544 5577 5698 5772 5808 5973 6006 6084 6216 6253 6292 6512 6516 6552 6697 6734 6776 6864 7059 7098 7326 7436 7602 7623 7696 7964 8008 8112 8547 8658 8688 8712 8954 9009 9324 9412 9438 9464 9768 10101 10136 10164 10296 10582 10647 11011 11088 11154 11396 11403 11544 11946 12012 12168 12432 12506 12584 13013 13032 13104 13394 13431 13468 13552 13937 14118 14157 14196 14652 14872 15204 15246 15873 15928 16016 16471 16731 17094 17316 17424 17908 17919 18018 18648 18759 18824 18876 18928 19536 20091 20202 20272 20328 20449 20592 21164 21177 21294 21901 22022 22308 22792 22806 23088 23892 24024 24336 25012 25168 25641 25883 26026 26064 26788 26862 26936 27874 28236 28314 28392 29304 29744 30303 30408 30492 30589 31339 31746 31856 32942 33033 33462 34188 34632 35816 35838 36036 37037 37296 37518 37648 37752 39039 40182 40293 40404 40656 40898 41811 42328 42354 42588 43771 43802 44044 44616 45584 45612 46879 47619 47784 48048 49413 50024 51282 51766 52052 53576 53724 53872 55748 56277 56472 56628 56784 58201 58608 60273 60606 60816 60984 61178 61347 62678 63492 65703 65884 66066 66924 68376 68783 69264 71632 71676 72072 73667 74074 75036 75504 77649 78078 80364 80586 80808 81796 83622 84656 84708 85176 87061 87542 87604 88088 89232 91224 91767 93758 94017 95238 95568 98826 99099 100048 102564 103532 104104 107152 107448 111111 111496 112554 112944 113256 116402 117117 120546 121212 121968 122356 122694 125356 125433 126984 131313 131406 131768 132132 133848 136752 137566 140637 143143 143352 144144 147334 148148 148239 150072 153307 155298 156156 160728 161172 161616 163592 167244 169416 170352 174122 174603 175084 175208 176176 181181 182448 183534 184041 187516 188034 190476 197109 197652 198198 205128 206349 207064 208208 214123 214896 221001 222222 222992 225108 226512 232804 232947 234234 241092 242424 244712 245388 250712 250866 253968 261183 262626 262812 263536 264264 267696 275132 275301 281274 282051 284713 286286 286704 294668 296296 296478 300144 306614 310596 312312 321456 322344 327184 333333 334488 336479 338832 348244 349206 350168 350416 362362 367068 368082 375032 376068 380952 393939 394218 395304 396396 407407 410256 412698 414128 421911 428246 429429 442002 444444 450216 459921 465608 465894 468468 481481 482184 484848 489424 490776 501424 501732 515669 522366 523809 525252 525624 528528 543543 550264 550602 562548 564102 569426 572572 589336 592592 592956 609427 613228 619047 621192 624624 642369 644688 663003 666666 668976 672958 696488 698412 700336 724724 734136 736164 750064 752136 756613 761904 783549 787878 788436 790608 792792 810337 814814 825396 843822 854139 856492 858858 884004 888888 900432 919842 931216 931788 936936 957671 962962 964368 981552 1003464 1009437 1031338 1044732 1047618 1050504 1051248 1087086 1100528 1101204 1125096 1128204 1131793 1138852 1145144 1178672 1185912 1218854 1222221 1226456 1238094 1242384 1284738 1288287 1326006 1333332 1345916 1379763 1392976 1396824 1444443 1449448 1468272 1472328 1504272 1513226 1547007 1567098 1575756 1576872 1585584 1620674 1629628 1630629 1650792 1687644 1708278 1712984 1717716 1768008 1777776 1828281 1839684 1863576 1873872 1915342 1925924 1927107 1992991 2006928 2018874 2062676 2089464 2095236 2101008 2174172 2202408 2250192 2256408 2263586 2269839 2277704 2290288 2355353 2371824 2431011 2437708 2444442 2452912 2476188 2562417 2569476 2576574 2652012 2666664 2691832 2759526 2793648 2873013 2888886 2898896 2944656 3026452 3028311 3094014 3134196 3151512 3153744 3241348 3259256 3261258 3301584 3375288 3395379 3416556 3425968 3435432 3536016 3656562 3666663 3679368 3701269 3727152 3830684 3851848 3854214 3985982 4037748 4125352 4178928 4190472 4333329 4348344 4404816 4512816 4527172 4539678 4555408 4641021 4710706 4862022 4875416 4888884 4952376 5124834 5138952 5153148 5296291 5304024 5333328 5383664 5484843 5519052 5672359 5746026 5777772 5978973 6052904 6056622 6188028 6268392 6303024 6482696 6518512 6522516 6703697 6750576 6790758 6809517 6833112 6870864 7066059 7293033 7313124 7333326 7358736 7402538 7661368 7703696 7708428 7922551 7971964 8075496 8250704 8380944 8619039 8666658 8696688 9054344 9079356 9282042 9421412 9724044 9750832 9777768 9904752 10186137 10249668 10277904 10306296 10534381 10592582 10608048 10969686 11038104 11103807 11344718 11492052 11555544 11957946 12105808 12113244 12376056 12449723 12536784 12965392 13045032 13407394 13581516 13619034 13666224 14132118 14586066 14626248 14666652 14805076 15322736 15416856 15845102 15888873 15943928 16150992 17017077 17238078 17333316 17936919 18108688 18158712 18564084 18842824 19448088 19555536 20111091 20372274 20499336 20612592 21068762 21185164 21198177 21939372 22076208 22207614 22689436 22984104 23111088 23767653 23915892 24226488 24752112 24899446 25908883 26090064 26814788 27163032 27238068 28264236 29172132 29252496 29333304 29610152 30833712 31603143 31690204 31777746 31887856 33311421 34034154 34476156 34666632 35873838 36317424 37128168 37349169 37685648 38896176 40222182 40744548 40998672 42137524 42370328 42396354 43878744 44415228 45378872 45968208 47535306 47666619 47831784 48452976 49798892 51051231 51817766 53629576 54326064 54476136 56528472 58344264 58666608 59220304 60333273 63206286 63380408 63555492 66622842 68068308 68952312 69333264 71302959 71747676 73740667 74256336 74698338 77726649 80444364 81489096 84275048 84740656 84792708 87148061 87757488 88830456 90757744 94809429 95070612 95333238 95663568 99597784 102102462 103635532 107259152 108952272 112047507 113056944 116688528 120666546 126412572 126760816 127110984 133245684 136136616 136946953 137904624 142605918 143495352 147481334 149396676 155453298 160888728 162978192 168550096 169585416 174296122 177660912 189618858 190141224 190666476 199195568 204204924 207271064 221222001 224095014 233179947 241333092 252825144 254221968 261444183 266491368 272273232 273893906 285211836 286990704 294962668 298793352 310906596 321777456 339170832 348592244 379237716 380282448 381332952 408409848 410840859 414542128 442444002 448190028 466359894 482666184 505650288 522888366 532982736 547787812 570423672 589925336 597586704 621813192 663666003 697184488 758475432 762665904 784332549 816819696 821681718 884888004 896380056 932719788 958628671 965332368 1045776732 1095575624 1140847344 1179850672 1232522577 1243626384 1327332006 1394368976 1516950864 1568665098 1643363436 1769776008 1792760112 1865439576 1917257342 2091553464 2191151248 2465045154 2654664012 2875886013 3137330196 3286726872 3539552016 3730879152 3834514684 4183106928 4930090308 5309328024 5751772026 6274660392 6573453744 7669029368 8627658039 9860180616 10618656048 11503544052 12549320784 15338058736 17255316078 19720361232 23007088104 34510632156 46014176208 69021264312 138042528624
- Sum of all divisors σ(n): 542691161376
- Sum of proper divisors (its aliquot sum) s(n): 404648632752
- 138042528624 is an abundant number, because the sum of its proper divisors (404648632752) is greater than itself. Its abundance is 266606104128
Bases of 138042528624
- Binary: 100000001000111111100111010011011100002
- Hexadecimal: 0x2023F9D370
- Base-36: 1REYYGS0
Squares and roots of 138042528624
- 138042528624 squared (1380425286242) is 19055739708907859333376
- 138042528624 cubed (1380425286243) is 2630502494218406599806122038554624
-
The
square root of 138042528624 is 371540.7496143593 -
The
cube root of 138042528624 is 5168.1800505265
Scales and comparisons
How big is 138042528624?- 138,042,528,624 seconds is equal to 4,389 years, 16 weeks, 6 days, 10 hours, 50 minutes, 24 seconds.
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To count from 1 to 138,042,528,624 would take you about eight thousand, seven hundred seventy-eight 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 138042528624 cubic inches would be around 430.7 feet tall.
Recreational maths with 138042528624
- 138042528624 backwards is 426825240831
- The number of decimal digits it has is: 12
- The sum of 138042528624's digits is 45
- More coming soon!
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The information we have on file for 138042528624 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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