148437327906816
148,437,327,906,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 148437327906816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
148437327906816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 148437327906816:
211 × 3 × 134 × 19 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 13 × 19 × 211 × 211)See below for interesting mathematical facts about the number 148437327906816 from the Numbermatics database.
Names of 148437327906816
- Cardinal: 148437327906816 can be written as One hundred forty-eight trillion, four hundred thirty-seven billion, three hundred twenty-seven million, nine hundred six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.48437327906816 × 1014
Factors of 148437327906816
Divisors of 148437327906816
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 169 192 208 211 228 247 256 304 312 338 384 416 422 456 494 507 512 608 624 633 676 741 768 832 844 912 988 1014 1024 1216 1248 1266 1352 1482 1536 1664 1688 1824 1976 2028 2048 2197 2432 2496 2532 2704 2743 2964 3072 3211 3328 3376 3648 3952 4009 4056 4394 4864 4992 5064 5408 5486 5928 6144 6422 6591 6656 6752 7296 7904 8018 8112 8229 8788 9633 9728 9984 10128 10816 10972 11856 12027 12844 13182 13312 13504 14592 15808 16036 16224 16458 17576 19266 19456 19968 20256 21632 21944 23712 24054 25688 26364 26624 27008 28561 29184 31616 32072 32448 32916 35152 35659 38532 38912 39936 40512 41743 43264 43888 44521 47424 48108 51376 52117 52728 54016 57122 58368 63232 64144 64896 65832 70304 71318 77064 79872 81024 83486 85683 86528 87776 89042 94848 96216 102752 104234 105456 106977 108032 114244 116736 125229 126464 128288 129792 131664 133563 140608 142636 154128 156351 162048 166972 171366 173056 175552 178084 189696 192432 205504 208468 210912 213954 216064 228488 250458 252928 256576 259584 263328 267126 281216 285272 308256 312702 324096 333944 342732 346112 351104 356168 379392 384864 411008 416936 421824 427908 432128 456976 463567 500916 505856 513152 519168 526656 534252 542659 562432 570544 578773 616512 625404 648192 667888 677521 685464 702208 712336 758784 769728 822016 833872 843648 845899 855816 913952 927134 1001832 1026304 1038336 1053312 1068504 1085318 1124864 1141088 1157546 1233024 1250808 1296384 1335776 1355042 1370928 1390701 1404416 1424672 1517568 1539456 1627977 1644032 1667744 1687296 1691798 1711632 1736319 1827904 1854268 2003664 2032563 2052608 2106624 2137008 2170636 2249728 2282176 2315092 2466048 2501616 2537697 2671552 2710084 2741856 2781402 2808832 2849344 3078912 3255954 3288064 3335488 3374592 3383596 3423264 3472638 3655808 3708536 4007328 4065126 4105216 4213248 4274016 4341272 4499456 4564352 4630184 4932096 5003232 5075394 5343104 5420168 5483712 5562804 5617664 5698688 6026371 6157824 6511908 6576128 6670976 6749184 6767192 6846528 6945276 7311616 7417072 7524049 8014656 8130252 8210432 8426496 8548032 8682544 8807773 9128704 9260368 9864192 10006464 10150788 10686208 10840336 10967424 10996687 11125608 11397376 12052742 12315648 13023816 13341952 13498368 13534384 13693056 13890552 14623232 14834144 15048098 16029312 16260504 16852992 17096064 17365088 17615546 18079113 18257408 18520736 19728384 20012928 20301576 21372416 21680672 21934848 21993374 22251216 22572147 22794752 24105484 24631296 26047632 26423319 26683904 27068768 27386112 27781104 29246464 29668288 30096196 32058624 32521008 32990061 34192128 34730176 35231092 36158226 36514816 37041472 40025856 40603152 42744832 43361344 43869696 43986748 44502432 45144294 45589504 48210968 52095264 52846638 53367808 54137536 54772224 55562208 58492928 59336576 60192392 64117248 65042016 65980122 68384256 69460352 70462184 72316452 73029632 74082944 80051712 81206304 85489664 86722688 87739392 87973496 89004864 90288588 91179008 96421936 97812637 104190528 105693276 106735616 108275072 109544448 111124416 114501049 118673152 120384784 128234496 130084032 131960244 136768512 138920704 140924368 142956931 144632904 148165888 160103424 162412608 173445376 175478784 175946992 178009728 180577176 192843872 195625274 208381056 211386552 216550144 219088896 222248832 229002098 237346304 240769568 256468992 260168064 263920488 273537024 277841408 281848736 285913862 289265808 293437911 296331776 320206848 324825216 343503147 346890752 351893984 356019456 361154352 385687744 391250548 416762112 422773104 428870793 433100288 444497664 458004196 474692608 481539136 520336128 527840976 555682816 563697472 571827724 578531616 586875822 592663552 649650432 687006294 693781504 703787968 712038912 722308704 771375488 782501096 833524224 845546208 857741586 866200576 888995328 916008392 949385216 963078272 1040672256 1055681952 1111365632 1127394944 1143655448 1157063232 1173751644 1185327104 1271564281 1299300864 1374012588 1387563008 1407575936 1424077824 1444617408 1542750976 1565002192 1667048448 1691092416 1715483172 1732401152 1777990656 1832016784 1858440103 1926156544 2081344512 2111363904 2254789888 2287310896 2314126464 2347503288 2543128562 2598601728 2748025176 2815151872 2848155648 2889234816 3085501952 3130004384 3334096896 3382184832 3430966344 3555981312 3664033568 3716880206 3814692843 3852313088 4162689024 4222727808 4509579776 4574621792 4628252928 4695006576 5086257124 5197203456 5496050352 5575320309 5630303744 5778469632 6171003904 6260008768 6764369664 6861932688 7328067136 7433760412 7629385686 7704626176 8445455616 9019159552 9149243584 9256505856 9390013152 10172514248 10992100704 11150640618 11260607488 11556939264 12342007808 12520017536 13528739328 13723865376 14656134272 14867520824 15258771372 15409252352 16890911232 18038319104 18298487168 18513011712 18780026304 20345028496 21984201408 22301281236 22521214976 23113878528 24159721339 25040035072 27057478656 27447730752 29312268544 29735041648 30517542744 33781822464 36596974336 37026023424 37560052608 40690056992 43968402816 44602562472 46227757056 48319442678 50080070144 54114957312 54895461504 58624537088 59470083296 61035085488 67563644928 72479164017 73193948672 75120105216 81380113984 87936805632 89205124944 96638885356 100160140288 109790923008 117249074176 118940166592 122070170976 144958328034 146387897344 150240210432 162760227968 175873611264 178410249888 193277770712 200320280576 219581846016 234498148352 237880333184 244140341952 289916656068 292775794688 300480420864 325520455936 351747222528 356820499776 386555541424 439163692032 475760666368 488280683904 579833312136 600960841728 651040911872 703494445056 713640999552 773111082848 878327384064 951521332736 976561367808 1159666624272 1302081823744 1427281999104 1546222165696 1903042665472 1953122735616 2319333248544 2604163647488 2854563998208 3092444331392 3806085330944 3906245471232 4638666497088 5709127996416 6184888662784 7812490942464 9277332994176 11418255992832 12369777325568 18554665988352 24739554651136 37109331976704 49479109302272 74218663953408 148437327906816
- Sum of all divisors σ(n): 453425837482800
- Sum of proper divisors (its aliquot sum) s(n): 304988509575984
- 148437327906816 is an abundant number, because the sum of its proper divisors (304988509575984) is greater than itself. Its abundance is 156551181669168
Bases of 148437327906816
- Binary: 1000011100000000110000100011001110001000000000002
- Hexadecimal: 0x8700C2338800
- Base-36: 1GM760HWQO
Squares and roots of 148437327906816
- 148437327906816 squared (1484373279068162) is 22033640316115616063979257856
- 148437327906816 cubed (1484373279068163) is 3270614692584094648394040516261805603946496
-
The
square root of 148437327906816 is 12183485.8684539051 -
The
cube root of 148437327906816 is 52947.7743412451
Scales and comparisons
How big is 148437327906816?- 148,437,327,906,816 seconds is equal to 4,719,847 years, 45 weeks, 5 days, 13 hours, 13 minutes, 36 seconds.
-
To count from 1 to 148,437,327,906,816 would take you about eleven million, seven hundred ninety-nine thousand, six hundred nineteen 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 148437327906816 cubic inches would be around 4412.3 feet tall.
Recreational maths with 148437327906816
- 148437327906816 backwards is 618609723734841
- The number of decimal digits it has is: 15
- The sum of 148437327906816's digits is 69
- More coming soon!
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The information we have on file for 148437327906816 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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