146993750278144
146,993,750,278,144 is an even composite number composed of four prime numbers multiplied together.
What does the number 146993750278144 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1088 divisors.
146993750278144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 146993750278144:
216 × 73 × 113 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 17 × 17 × 17)See below for interesting mathematical facts about the number 146993750278144 from the Numbermatics database.
Names of 146993750278144
- Cardinal: 146993750278144 can be written as One hundred forty-six trillion, nine hundred ninety-three billion, seven hundred fifty million, two hundred seventy-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.46993750278144 × 1014
Factors of 146993750278144
Divisors of 146993750278144
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 64 68 77 88 98 112 119 121 128 136 154 176 187 196 224 238 242 256 272 289 308 343 352 374 392 448 476 484 512 539 544 578 616 686 704 748 784 833 847 896 952 968 1024 1078 1088 1156 1232 1309 1331 1372 1408 1496 1568 1666 1694 1792 1904 1936 2023 2048 2057 2156 2176 2312 2464 2618 2662 2744 2816 2992 3136 3179 3332 3388 3584 3773 3808 3872 4046 4096 4114 4312 4352 4624 4913 4928 5236 5324 5488 5632 5831 5929 5984 6272 6358 6664 6776 7168 7546 7616 7744 8092 8192 8228 8624 8704 9163 9248 9317 9826 9856 10472 10648 10976 11264 11662 11858 11968 12544 12716 13328 13552 14161 14336 14399 15092 15232 15488 16184 16384 16456 17248 17408 18326 18496 18634 19652 19712 20944 21296 21952 22253 22528 22627 23324 23716 23936 25088 25432 26656 27104 28322 28672 28798 30184 30464 30976 32368 32768 32912 34391 34496 34816 34969 36652 36992 37268 39304 39424 41503 41888 42592 43904 44506 45056 45254 46648 47432 47872 50176 50864 53312 54043 54208 56644 57344 57596 60368 60928 61952 64141 64736 65219 65536 65824 68782 68992 69632 69938 73304 73984 74536 78608 78848 83006 83776 85184 87808 89012 90112 90508 93296 94864 95744 99127 100352 100793 101728 106624 108086 108416 113288 114688 115192 120736 121856 123904 128282 129472 130438 131648 137564 137984 139264 139876 146608 147968 149072 155771 157216 157696 158389 166012 167552 170368 175616 178024 180224 181016 186592 189728 191488 198254 200704 201586 203456 213248 216172 216832 226576 229376 230384 240737 241472 243712 244783 247808 256564 258944 260876 263296 275128 275968 278528 279752 293216 295936 298144 311542 314432 315392 316778 332024 335104 340736 351232 356048 360448 362032 373184 378301 379456 382976 384659 396508 401408 403172 406912 426496 432344 433664 453152 456533 458752 460768 481474 482944 487424 489566 495616 513128 517888 521752 526592 550256 551936 557056 559504 586432 591872 594473 596288 623084 628864 630784 633556 664048 670208 681472 702464 705551 712096 720896 724064 746368 756602 758912 765952 769318 793016 802816 806344 813824 852992 864688 867328 906304 913066 921536 962948 965888 974848 979132 991232 1026256 1035776 1043504 1053184 1090397 1100512 1103872 1108723 1114112 1119008 1172864 1183744 1188946 1192576 1246168 1257728 1261568 1267112 1328096 1340416 1362944 1404928 1411102 1424192 1448128 1492736 1513204 1517824 1531904 1538636 1586032 1605632 1612688 1627648 1685159 1705984 1713481 1729376 1734656 1812608 1826132 1843072 1925896 1931776 1949696 1958264 1982464 2052512 2071552 2087008 2106368 2180794 2201024 2207744 2217446 2238016 2345728 2367488 2377892 2385152 2492336 2515456 2523136 2534224 2648107 2656192 2680832 2692613 2725888 2809856 2822204 2848384 2896256 2985472 3026408 3035648 3063808 3077272 3172064 3211264 3225376 3255296 3370318 3411968 3426962 3458752 3469312 3625216 3652264 3686144 3851792 3863552 3899392 3916528 3964928 4105024 4143104 4161311 4174016 4212736 4361588 4402048 4415488 4434892 4476032 4691456 4734976 4755784 4770304 4984672 5030912 5046272 5068448 5296214 5312384 5361664 5385226 5451776 5619712 5644408 5696768 5792512 5970944 6052816 6071296 6127616 6154544 6344128 6450752 6510592 6539203 6740636 6823936 6853924 6917504 6938624 7250432 7304528 7372288 7703584 7727104 7761061 7798784 7833056 7929856 8210048 8286208 8322622 8348032 8425472 8723176 8804096 8830976 8869784 8952064 9382912 9469952 9511568 9540608 9969344 10061824 10136896 10592428 10624768 10723328 10770452 10903552 11239424 11288816 11393536 11585024 11941888 11994367 12105632 12142592 12255232 12309088 12688256 12901504 13021184 13078406 13481272 13647872 13707848 13835008 13877248 14500864 14609056 14744576 15407168 15454208 15522122 15666112 16420096 16572416 16645244 16696064 16850944 17446352 17608192 17661952 17739568 17904128 18536749 18765824 18848291 18939904 19023136 19081216 19938688 20123648 20273792 21184856 21249536 21446656 21540904 21807104 22478848 22577632 22787072 23170048 23883776 23988734 24211264 24285184 24618176 25376512 25803008 26042368 26156812 26962544 27295744 27415696 27670016 27754496 29001728 29129177 29218112 29489152 30814336 30908416 31044244 31332224 32840192 33144832 33290488 33392128 33701888 34892704 35216384 35323904 35479136 35808256 37073498 37531648 37696582 38046272 38162432 39877376 40247296 40547584 42369712 42499072 42893312 43081808 43614208 45155264 45574144 45774421 46340096 47767552 47977468 48422528 48570368 49236352 50753024 51606016 52084736 52313624 53925088 54591488 54831392 55340032 55508992 58003456 58258354 58436224 58978304 61628672 61816832 62088488 62664448 65680384 66289664 66580976 66784256 67403776 69785408 70432768 70958272 71616512 74146996 75063296 75393164 76092544 76324864 79754752 80494592 81095168 84739424 84998144 85786624 86163616 87228416 90310528 91148288 91548842 92680192 95535104 95954936 96845056 97140736 98472704 101506048 103212032 104169472 104627248 107850176 109662784 110680064 116006912 116516708 116872448 117956608 123257344 123633664 124176976 125328896 131360768 131938037 132579328 133161952 133568512 134807552 139570816 140865536 141916544 143233024 148293992 150126592 150786328 152185088 152649728 159509504 160989184 162190336 169478848 169996288 172327232 180621056 182296576 183097684 185360384 191070208 191909872 193690112 194281472 196945408 203012096 203904239 206424064 208338944 209254496 215700352 219325568 221360128 232013824 233033416 233744896 235913216 246514688 247267328 248353952 250657792 262721536 263876074 266323904 267137024 279141632 281731072 283833088 286466048 296587984 300253184 301572656 304370176 305299456 319019008 320420947 321978368 324380672 338957696 339992576 344654464 361242112 364593152 366195368 370720768 382140416 383819744 387380224 388562944 393890816 406024192 407808478 412848128 418508992 431400704 438651136 442720256 464027648 466066832 467489792 471826432 493029376 496707904 501315584 525443072 527752148 532647808 534274048 558283264 563462144 567666176 572932096 593175968 600506368 603145312 608740352 610598912 638038016 640841894 648761344 677915392 679985152 689308928 722484224 729186304 732390736 741441536 767639488 774760448 787781632 812048384 815616956 825696256 837017984 862801408 877302272 885440512 928055296 932133664 934979584 943652864 986058752 993415808 1002631168 1050886144 1055504296 1065295616 1068548096 1116566528 1126924288 1135332352 1145864192 1186351936 1206290624 1217480704 1276076032 1281683788 1297522688 1355830784 1359970304 1378617856 1444968448 1458372608 1464781472 1482883072 1535278976 1549520896 1575563264 1624096768 1631233912 1651392512 1674035968 1725602816 1754604544 1770881024 1864267328 1869959168 1972117504 1986831616 2005262336 2101772288 2111008592 2130591232 2137096192 2233133056 2242946629 2253848576 2270664704 2291728384 2372703872 2412581248 2434961408 2552152064 2563367576 2595045376 2711661568 2719940608 2757235712 2889936896 2929562944 3070557952 3099041792 3151126528 3248193536 3262467824 3302785024 3348071936 3451205632 3509209088 3541762048 3728534656 3739918336 3944235008 3973663232 4010524672 4203544576 4222017184 4261182464 4274192384 4466266112 4485893258 4541329408 4745407744 4825162496 4869922816 5104304128 5126735152 5190090752 5423323136 5514471424 5779873792 5859125888 6141115904 6198083584 6302253056 6496387072 6524935648 6605570048 6696143872 6902411264 7018418176 7457069312 7479836672 7888470016 7947326464 8021049344 8444034368 8522364928 8932532224 8971786516 9082658816 9490815488 9650324992 9739845632 10208608256 10253470304 10380181504 10846646272 11028942848 11559747584 11718251776 12282231808 12396167168 12604506112 13049871296 13392287744 13804822528 14036836352 14914138624 14959673344 15776940032 15894652928 16042098688 16888068736 17044729856 17865064448 17943573032 18165317632 18981630976 19300649984 19479691264 20506940608 21693292544 22057885696 23119495168 23436503552 24564463616 24792334336 25209012224 26099742592 26784575488 27609645056 28073672704 29828277248 29919346688 31789305856 33776137472 34089459712 35730128896 35887146064 36330635264 37963261952 38601299968 38959382528 41013881216 43386585088 44115771392 46238990336 46873007104 49128927232 52199485184 53569150976 55219290112 56147345408 59656554496 63578611712 67552274944 68178919424 71460257792 71774292128 72661270528 75926523904 77202599936 82027762432 86773170176 88231542784 93746014208 98257854464 104398970368 107138301952 110438580224 112294690816 119313108992 127157223424 135104549888 136357838848 143548584256 151853047808 154405199872 164055524864 173546340352 176463085568 187492028416 196515708928 208797940736 214276603904 238626217984 254314446848 270209099776 272715677696 287097168512 303706095616 308810399744 328111049728 374984056832 393031417856 417595881472 428553207808 477252435968 508628893696 540418199552 574194337024 607412191232 617620799488 656222099456 749968113664 786062835712 835191762944 954504871936 1080836399104 1148388674048 1214824382464 1235241598976 1312444198912 1499936227328 1670383525888 1909009743872 2161672798208 2296777348096 2624888397824 2999872454656 3340767051776 4323345596416 4593554696192 5249776795648 6681534103552 8646691192832 9187109392384 10499553591296 13363068207104 18374218784768 20999107182592 36748437569536 73496875139072 146993750278144
- Sum of all divisors σ(n): 400662027072000
- Sum of proper divisors (its aliquot sum) s(n): 253668276793856
- 146993750278144 is an abundant number, because the sum of its proper divisors (253668276793856) is greater than itself. Its abundance is 106674526515712
Bases of 146993750278144
- Binary: 1000010110110000101001100100010100000000000000002
- Hexadecimal: 0x85B0A6450000
- Base-36: 1G3RZVNDOG
Squares and roots of 146993750278144
- 146993750278144 squared (1469937502781442) is 21607162620833359277364084736
- 146993750278144 cubed (1469937502781443) is 3176117866506026245286110813505555984809984
-
The
square root of 146993750278144 is 12124097.9160572603 -
The
cube root of 146993750278144 is 52775.5729379965
Scales and comparisons
How big is 146993750278144?- 146,993,750,278,144 seconds is equal to 4,673,946 years, 30 weeks, 3 hours, 29 minutes, 4 seconds.
-
To count from 1 to 146,993,750,278,144 would take you about eleven million, six hundred eighty-four thousand, eight hundred sixty-six 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 146993750278144 cubic inches would be around 4398 feet tall.
Recreational maths with 146993750278144
- 146993750278144 backwards is 441872057399641
- The number of decimal digits it has is: 15
- The sum of 146993750278144's digits is 70
- More coming soon!
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The information we have on file for 146993750278144 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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