138392688988008
138,392,688,988,008 is an even composite number composed of eight prime numbers multiplied together.
138392688988008 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138392688988008:
23 × 33 × 72 × 13 × 71 × 127 × 331 × 337
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 71 × 127 × 331 × 337)See below for interesting mathematical facts about the number 138392688988008 from the Numbermatics database.
Names of 138392688988008
- Cardinal: 138392688988008 can be written as One hundred thirty-eight trillion, three hundred ninety-two billion, six hundred eighty-eight million, nine hundred eighty-eight thousand and eight.
Scientific notation
- Scientific notation: 1.38392688988008 × 1014
Factors of 138392688988008
Divisors of 138392688988008
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 49 52 54 56 63 71 72 78 84 91 98 104 108 117 126 127 142 147 156 168 182 189 196 213 216 234 252 254 273 284 294 312 331 337 351 364 378 381 392 426 441 468 497 504 508 546 568 588 637 639 662 674 702 728 756 762 819 852 882 889 923 936 993 994 1011 1016 1092 1143 1176 1274 1278 1323 1324 1348 1404 1491 1512 1524 1638 1651 1704 1764 1778 1846 1911 1917 1986 1988 2022 2184 2286 2317 2359 2457 2548 2556 2646 2648 2667 2696 2769 2808 2979 2982 3033 3048 3276 3302 3429 3479 3528 3556 3692 3822 3834 3972 3976 4044 4303 4381 4473 4572 4634 4718 4914 4953 5096 5112 5292 5334 5538 5733 5958 5964 6066 6223 6461 6552 6604 6858 6951 6958 7077 7112 7384 7644 7668 7944 8001 8088 8307 8606 8762 8937 8946 9017 9099 9144 9268 9436 9828 9906 10437 10584 10668 11076 11466 11557 11916 11928 12132 12446 12909 12922 13143 13208 13419 13716 13902 13916 14154 14859 15288 15336 16002 16219 16513 16614 17199 17212 17524 17874 17892 18034 18198 18536 18669 18872 19383 19656 19812 20853 20874 21231 21336 22152 22932 23114 23501 23832 23927 24003 24264 24892 24921 25818 25844 26286 26838 27051 27432 27804 27832 28308 29718 30121 30667 31311 32004 32438 33026 33228 34398 34424 34671 35048 35748 35784 36068 36396 37338 38727 38766 39429 39624 41706 41748 42037 42462 42799 44577 45227 45864 46228 47002 47854 48006 48657 49539 49784 49842 51636 51688 52572 53676 54102 55608 56007 56616 58149 59436 60242 61334 62559 62622 63119 63693 64008 64876 66052 66456 68796 69342 70503 71496 71781 72136 72792 74676 77454 77532 78858 80899 81153 83412 83496 84074 84924 85598 89154 90363 90454 92001 92456 93933 94004 95708 96012 97314 99078 99684 103272 104013 105144 107352 108204 111547 112014 116181 116298 117221 118287 118872 120484 122668 125118 125244 126111 126238 127386 128397 129752 132104 135681 137592 138684 141006 143562 145971 148617 149352 154908 155064 157716 161798 162306 164507 166824 167489 168021 168148 169848 171196 174447 178308 180726 180908 184002 187866 188008 189357 191416 192024 194628 198156 199368 208026 210847 211509 214669 215343 216408 223094 224028 232362 232596 234442 236574 240968 242697 243459 245336 250236 250488 252222 252476 254772 256794 271089 271362 276003 277368 282012 287124 291942 294259 297234 299593 305513 309816 311051 312039 315432 323596 324612 329014 334641 334978 336042 336296 342392 348894 351663 356616 361452 361816 368004 375732 378333 378714 385191 389256 396312 407043 416052 421694 423018 429338 430686 437913 441833 445851 446188 448056 464724 465192 468884 473148 485394 486918 493521 500472 502467 504444 504952 509544 513588 542178 542724 546481 552006 556387 564024 568071 574248 583884 588518 594468 599186 611026 622102 624078 632541 634527 644007 646029 647192 649224 658028 669282 669956 672084 697788 703326 722904 728091 736008 751464 756666 757428 770382 780829 813267 814086 820547 828009 832104 843388 846036 858676 861372 875826 882777 883666 891702 892376 898779 916539 929448 933153 937768 946296 970788 973836 987042 1003923 1004934 1008888 1027176 1054989 1084356 1085448 1092962 1104012 1112774 1134999 1136142 1151549 1155573 1167768 1172423 1177036 1188936 1198372 1221129 1222052 1244204 1248156 1265082 1269054 1288014 1292058 1316056 1325499 1338564 1339912 1344168 1395576 1406652 1450111 1456182 1480563 1507401 1513332 1514856 1540764 1561658 1626534 1628172 1639443 1641094 1656018 1669161 1686776 1692072 1704213 1717352 1722744 1751652 1765554 1767332 1783404 1797558 1833078 1866306 1897623 1932021 1941576 1947672 1974084 2007846 2009868 2059813 2097151 2109978 2138591 2168712 2177357 2184273 2185924 2208024 2225548 2269998 2272284 2303098 2311146 2342487 2344846 2354072 2396744 2442258 2444104 2461641 2488408 2496312 2530164 2538108 2576028 2584116 2648331 2650998 2677128 2696337 2749617 2799459 2813304 2900222 2912364 2961126 2984627 3011769 3014802 3026664 3038729 3081528 3123316 3164967 3253068 3256344 3278886 3282188 3312036 3338322 3408426 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1096283916 1097387928 1104984582 1106097356 1128189006 1148639562 1164216039 1169973784 1180613448 1189983396 1191181768 1235494572 1240667064 1278997902 1289148679 1316220507 1330532616 1340079489 1388313962 1396805436 1422125172 1441410334 1445988726 1472200002 1473312776 1496849193 1504252008 1529978652 1531519416 1552288052 1616774796 1629606342 1646081892 1657476873 1659146034 1705330536 1710684792 1754960676 1784975094 1786772652 1853241858 1901207399 1918496853 1927984968 1935670373 1962933336 1995798924 2011638598 2082470943 2095208154 2133187758 2162115501 2172808456 2192567832 2209969164 2212194712 2256378012 2297279124 2328432078 2379966792 2444409513 2470989144 2488719051 2557995804 2578297358 2632441014 2677462641 2680158978 2776627924 2779862787 2793610872 2844250344 2882820668 2891977452 2944400004 2993698386 3017457897 3059957304 3104576104 3233549592 3259212684 3292163784 3314953746 3318292068 3492648117 3509921352 3569950188 3573545304 3706483716 3802414798 3836993706 3867446037 3871340746 3948661521 3991597848 4020238467 4023277196 4164941886 4190416308 4266375516 4324231002 4419938328 4512756024 4594558248 4656864156 4888819026 4972430619 4977438102 5044936169 5115991608 5156594716 5264882028 5354925282 5360317956 5553255848 5559725574 5703622197 5765641336 5783954904 5807011119 5888800008 5987396772 6034915794 6247412829 6486346503 6518425368 6629907492 6636584136 6985296234 7040735093 7139900376 7333228539 7412967432 7466157153 7604829596 7673987412 7734892074 7742681492 7897323042 8040476934 8046554392 8329883772 8380832616 8532751032 8648462004 9024040753 9052373691 9313728312 9777638052 9944861238 9954876204 10089872338 10313189432 10477944351 10529764056 10709850564 10720635912 11119451148 11407244394 11602338111 11614022238 11974793544 12069831588 12494825658 12972693006 13075650887 13259814984 13970592468 14081470186 14666457078 14932314306 15134808507 15209659192 15347974824 15469784148 15485362984 15794646084 16080953868 16659767544 17110866591 17296924008 17421033357 18048081506 18104747382 18742238487 19459039509 19555276104 19889722476 19909752408 20179744676 20955888702 21122205279 21419701128 22238902296 22814488788 23204676222 23228044476 24139663176 24989651316 25945386012 26151301774 27072122259 27157121073 27941184936 28162940372 29332914156 29864628612 30269617014 30939568296 31589292168 32161907736 34221733182 34807014333 34842066714 36096163012 36209494764 37484476974 38918079018 39226952661 39779444952 40359489352 41911777404 42244410558 45404425521 45628977576 46409352444 46456088952 49285145651 49979302632 51332599773 51890772024 52263100071 52302603548 54144244518 54314242146 56325880744 58665828312 59729257224 60539234028 63366615837 68443466364 69614028666 69684133428 72192326024 72418989528 74968953948 77836158036 78453905322 81216366777 83823554808 84488821116 90808851042 91529556209 92818704888 98570291302 102665199546 104526200142 104605207096 108288489036 108628484292 117680857983 121078468056 126733231674 136213276563 136886932728 139228057332 139368266856 147855436953 149937907896 155672316072 156907810644 162432733554 168977642232 181617702084 183059112418 190099847511 197140582604 205330399092 209052400284 216576978072 217256968584 235361715966 243649100331 253466463348 272426553126 274588668627 278456114664 295710873906 313815621288 324865467108 353042573949 363235404168 366118224836 380199695022 394281165208 410660798184 418104800568 443566310859 470723431932 487298200662 506932926696 544853106252 549177337254 591421747812 640706893463 649730934216 706085147898 732236449672 760399390044 823766005881 887132621718 941446863864 974596401324 1089706212504 1098354674508 1182843495624 1281413786926 1330698932577 1412170295796 1520798780088 1647532011762 1774265243436 1922120680389 1949192802648 2196709349016 2471298017643 2562827573852 2661397865154 2824340591592 3295064023524 3548530486872 3844241360778 4942596035286 5125655147704 5322795730308 5766362041167 6590128047048 7688482721556 9885192070572 10645591460616 11532724082334 15376965443112 17299086123501 19770384141144 23065448164668 34598172247002 46130896329336 69196344494004 138392688988008
- Sum of all divisors σ(n): 495166655692800
- Sum of proper divisors (its aliquot sum) s(n): 356773966704792
- 138392688988008 is an abundant number, because the sum of its proper divisors (356773966704792) is greater than itself. Its abundance is 218381277716784
Bases of 138392688988008
- Binary: 111110111011110000011110001000100001111011010002
- Hexadecimal: 0x7DDE0F110F68
- Base-36: 1D20Q1TVU0
Squares and roots of 138392688988008
- 138392688988008 squared (1383926889880082) is 19152536365331510747167808064
- 138392688988008 cubed (1383926889880083) is 2650571008538836932639896615332807741696512
-
The
square root of 138392688988008 is 11764042.2044469051 -
The
cube root of 138392688988008 is 51725.4625036453
Scales and comparisons
How big is 138392688988008?- 138,392,688,988,008 seconds is equal to 4,400,459 years, 22 weeks, 3 days, 15 hours, 46 minutes, 48 seconds.
-
To count from 1 to 138,392,688,988,008 would take you about eleven million, one thousand, one hundred forty-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 138392688988008 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138392688988008
- 138392688988008 backwards is 800889886293831
- The number of decimal digits it has is: 15
- The sum of 138392688988008's digits is 81
- More coming soon!
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"Number 138392688988008 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138392688988008 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138392688988008/
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The information we have on file for 138392688988008 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 138392688988008, math, Factors of 138392688988008, curriculum, school, college, exams, university, Prime factorization of 138392688988008, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred ninety-two billion, six hundred eighty-eight million, nine hundred eighty-eight thousand and eight.