138528299520
138,528,299,520 is an even composite number composed of six prime numbers multiplied together.
138528299520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138528299520:
29 × 34 × 5 × 132 × 59 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 59 × 67)See below for interesting mathematical facts about the number 138528299520 from the Numbermatics database.
Names of 138528299520
- Cardinal: 138528299520 can be written as One hundred thirty-eight billion, five hundred twenty-eight million, two hundred ninety-nine thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3852829952 × 1011
Factors of 138528299520
Divisors of 138528299520
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 59 60 64 65 67 72 78 80 81 90 96 104 108 117 118 120 128 130 134 135 144 156 160 162 169 177 180 192 195 201 208 216 234 236 240 256 260 268 270 288 295 312 320 324 335 338 351 354 360 384 390 402 405 416 432 468 472 480 507 512 520 531 536 540 576 585 590 603 624 640 648 670 676 702 708 720 767 768 780 804 810 832 845 864 871 885 936 944 960 1005 1014 1040 1053 1062 1072 1080 1152 1170 1180 1206 1248 1280 1296 1340 1352 1404 1416 1440 1521 1534 1536 1560 1593 1608 1620 1664 1690 1728 1742 1755 1770 1809 1872 1888 1920 2010 2028 2080 2106 2124 2144 2160 2301 2304 2340 2360 2412 2496 2535 2560 2592 2613 2655 2680 2704 2808 2832 2880 3015 3042 3068 3120 3186 3216 3240 3328 3380 3456 3484 3510 3540 3618 3744 3776 3835 3840 3953 4020 4056 4160 4212 4248 4288 4320 4355 4563 4602 4608 4680 4720 4779 4824 4992 5070 5184 5226 5265 5310 5360 5408 5427 5616 5664 5760 6030 6084 6136 6240 6372 6432 6480 6656 6760 6903 6912 6968 7020 7080 7236 7488 7552 7605 7670 7680 7839 7906 7965 8040 8112 8320 8424 8496 8576 8640 8710 9045 9126 9204 9360 9440 9558 9648 9971 9984 10140 10368 10452 10530 10620 10720 10816 10854 11232 11323 11328 11505 11520 11859 12060 12168 12272 12480 12744 12864 12960 13065 13520 13689 13806 13824 13936 14040 14160 14472 14976 15104 15210 15340 15678 15812 15930 16080 16224 16640 16848 16992 17152 17280 17420 18090 18252 18408 18720 18880 19116 19296 19765 19942 19968 20280 20709 20736 20904 21060 21240 21440 21632 21708 22464 22646 22656 22815 23010 23040 23517 23718 23895 24120 24336 24544 24960 25488 25728 25920 26130 27040 27135 27378 27612 27872 28080 28320 28944 29913 29952 30208 30420 30680 31356 31624 31860 32160 32448 33280 33696 33969 33984 34304 34515 34560 34840 35577 36180 36504 36816 37440 37760 38232 38592 39195 39530 39884 40560 41418 41472 41808 42120 42480 42880 43264 43416 44928 45292 45312 45630 46020 47034 47436 47790 48240 48672 49088 49855 49920 50976 51389 51456 51840 52260 54080 54270 54756 55224 55744 56160 56615 56640 57888 59295 59826 59904 60840 61360 62127 62712 63248 63720 64320 64896 67392 67938 67968 68445 69030 69120 69680 70551 71154 72360 73008 73632 74880 75520 76464 77184 78390 79060 79768 81120 82836 83616 84240 84960 85760 86528 86832 89739 89856 90584 90624 91260 92040 94068 94872 95580 96480 97344 98176 99710 99840 101907 101952 102778 102912 103545 103680 104520 106731 108160 108540 109512 110448 111488 112320 113230 113280 115776 117585 118590 119652 121680 122720 124254 125424 126496 127440 128640 129792 134784 135876 135936 136890 138060 139360 141102 142308 144720 146016 147264 149565 149760 151040 152928 154167 154368 156780 158120 159536 162240 165672 167232 168480 169845 169920 171520 173664 177885 179478 179712 181168 182520 184080 188136 189744 191160 192960 194688 196352 199420 203814 203904 205556 207090 207360 209040 213462 216320 217080 219024 220896 222976 224640 226460 226560 231552 235170 237180 239304 243360 245440 248508 250848 252992 254880 256945 257280 259584 269217 269568 271752 271872 273780 276120 278720 282204 284616 289440 292032 294528 299130 299520 305721 305856 308334 308736 310635 313560 316240 319072 320193 324480 331344 334464 336960 339690 339840 347328 352755 355770 358956 362336 365040 368160 376272 379488 382320 385920 389376 392704 398840 407628 407808 411112 414180 418080 426924 432640 434160 438048 441792 445952 448695 449280 452920 453120 462501 463104 470340 474360 478608 486720 490880 497016 501696 505984 509535 509760 513890 514560 533655 538434 539136 543504 547560 552240 557440 564408 569232 578880 584064 589056 598260 611442 611712 616668 621270 627120 632480 638144 640386 648960 662688 668057 668928 673920 679380 679680 694656 705510 711540 717912 724672 730080 736320 752544 758976 764640 770835 771840 778752 797680 807651 815256 815616 822224 828360 836160 853848 868320 876096 883584 897390 898560 905840 917163 925002 926208 940680 948720 957216 973440 981760 994032 1003392 1011968 1019070 1019520 1027780 1067310 1076868 1087008 1095120 1104480 1114880 1128816 1138464 1157760 1168128 1178112 1196520 1222884 1223424 1233336 1242540 1254240 1264960 1276288 1280772 1297920 1325376 1336114 1337856 1346085 1347840 1358760 1359360 1387503 1389312 1411020 1423080 1435824 1449344 1460160 1472640 1505088 1517952 1528605 1529280 1541670 1543680 1595360 1600965 1615302 1630512 1644448 1656720 1672320 1707696 1736640 1752192 1767168 1794780 1811680 1834326 1850004 1881360 1897440 1914432 1946880 1963520 1988064 2004171 2006784 2023936 2038140 2039040 2055560 2134620 2153736 2174016 2190240 2208960 2229760 2257632 2276928 2312505 2315520 2336256 2393040 2445768 2446848 2466672 2485080 2508480 2529920 2552576 2561544 2650752 2672228 2692170 2695680 2717520 2775006 2778624 2822040 2846160 2871648 2898688 2920320 2945280 3010176 3035904 3057210 3058560 3083340 3190720 3201930 3230604 3261024 3288896 3313440 3340285 3344640 3415392 3473280 3504384 3534336 3589560 3623360 3668652 3700008 3762720 3794880 3828864 3893760 3976128 4008342 4013568 4038255 4076280 4078080 4111120 4162509 4269240 4307472 4348032 4380480 4417920 4515264 4553856 4585815 4625010 4631040 4786080 4891536 4933344 4970160 5016960 5059840 5105152 5123088 5301504 5344456 5384340 5435040 5550012 5644080 5692320 5743296 5797376 5840640 5890560 6012513 6020352 6071808 6114420 6117120 6166680 6381440 6403860 6461208 6522048 6577792 6626880 6680570 6689280 6830784 6937515 6946560 7008768 7179120 7246720 7337304 7400016 7525440 7589760 7657728 7952256 8016684 8076510 8152560 8222240 8325018 8538480 8614944 8696064 8760960 8835840 9030528 9107712 9171630 9250020 9572160 9783072 9866688 9940320 10020855 10033920 10119680 10246176 10603008 10688912 10768680 10870080 11100024 11288160 11384640 11486592 11681280 12025026 12040704 12228840 12234240 12333360 12762880 12807720 12922416 13044096 13155584 13253760 13361140 13661568 13875030 13893120 14358240 14493440 14674608 14800032 15050880 15179520 15315456 15904512 16033368 16153020 16305120 16444480 16650036 17076960 17229888 17392128 17521920 17671680 18037539 18061056 18215424 18343260 18500040 19144320 19566144 19733376 19880640 20041710 20067840 20492352 20812545 21377824 21537360 21740160 22200048 22576320 22769280 22973184 24050052 24457680 24666720 25525760 25615440 25844832 26088192 26311168 26507520 26722280 27323136 27750060 28716480 28986880 29349216 29600064 30062565 30101760 30359040 31809024 32066736 32306040 32610240 32888960 33300072 34153920 34459776 35043840 36075078 36122112 36686520 37000080 38288640 39132288 39466752 39761280 40083420 40984704 41625090 42755648 43074720 43480320 44400096 45152640 45538560 45946368 48100104 48915360 49333440 51230880 51689664 52176384 53015040 53444560 54112617 54646272 55500120 57432960 58698432 59200128 60125130 60203520 64133472 64612080 65220480 65777920 66600144 68307840 68919552 72150156 73373040 74000160 76577280 78264576 78933504 79522560 80166840 81969408 83250180 85511296 86149440 86960640 88800192 90187695 90305280 91077120 96200208 97830720 98666880 102461760 103379328 106889120 108225234 111000240 114865920 117396864 118400256 120250260 128266944 129224160 130440960 131555840 133200288 136615680 137839104 144300312 146746080 148000320 156529152 159045120 160333680 163938816 166500360 171022592 172298880 177600384 180375390 180610560 192400416 195661440 197333760 204923520 206758656 213778240 216450468 222000480 229731840 234793728 236800512 240500520 256533888 258448320 260881920 266400576 270563085 273231360 288600624 293492160 296000640 320667360 333000720 342045184 344597760 355200768 360750780 384800832 391322880 394667520 409847040 413517312 427556480 432900936 444000960 469587456 481001040 513067776 516896640 532801152 541126170 577201248 586984320 592001280 641334720 666001440 689195520 710401536 721501560 769601664 782645760 819694080 855112960 865801872 888001920 962002080 1026135552 1033793280 1065602304 1082252340 1154402496 1173968640 1184002560 1282669440 1332002880 1443003120 1539203328 1710225920 1731603744 1776003840 1924004160 2067586560 2131204608 2164504680 2308804992 2347937280 2565338880 2664005760 2886006240 3078406656 3463207488 3552007680 3848008320 4329009360 4617609984 5130677760 5328011520 5772012480 6926414976 7696016640 8658018720 9235219968 10656023040 11544024960 13852829952 15392033280 17316037440 23088049920 27705659904 34632074880 46176099840 69264149760 138528299520
- Sum of all divisors σ(n): 554528034720
- Sum of proper divisors (its aliquot sum) s(n): 415999735200
- 138528299520 is an abundant number, because the sum of its proper divisors (415999735200) is greater than itself. Its abundance is 277471435680
Bases of 138528299520
- Binary: 100000010000001110111000011010000000002
- Hexadecimal: 0x2040EE1A00
- Base-36: 1RN06800
Squares and roots of 138528299520
- 138528299520 squared (1385282995202) is 19190089767902832230400
- 138528299520 cubed (1385282995203) is 2658370503183730825469160849408000
-
The
square root of 138528299520 is 372193.9004336315 -
The
cube root of 138528299520 is 5174.2352190565
Scales and comparisons
How big is 138528299520?- 138,528,299,520 seconds is equal to 4,404 years, 40 weeks, 19 hours, 12 minutes.
-
To count from 1 to 138,528,299,520 would take you about eight thousand, eight hundred nine 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 138528299520 cubic inches would be around 431.2 feet tall.
Recreational maths with 138528299520
- 138528299520 backwards is 025992825831
- 138528299520 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138528299520's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138528299520 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 138528299520 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138528299520/
Chicago style:
Numbermatics. 2024. "Number 138528299520 - Facts about the integer". https://numbermatics.com/n/138528299520/
The information we have on file for 138528299520 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!
Keywords: Divisors of 138528299520, math, Factors of 138528299520, curriculum, school, college, exams, university, Prime factorization of 138528299520, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, five hundred twenty-eight million, two hundred ninety-nine thousand, five hundred twenty.