122968320012288
122,968,320,012,288 is an even composite number composed of five prime numbers multiplied together.
122968320012288 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 122968320012288:
212 × 32 × 192 × 473 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 19 × 47 × 47 × 47 × 89)See below for interesting mathematical facts about the number 122968320012288 from the Numbermatics database.
Names of 122968320012288
- Cardinal: 122968320012288 can be written as One hundred twenty-two trillion, nine hundred sixty-eight billion, three hundred twenty million, twelve thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.22968320012288 × 1014
Factors of 122968320012288
Divisors of 122968320012288
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 47 48 57 64 72 76 89 94 96 114 128 141 144 152 171 178 188 192 228 256 267 282 288 304 342 356 361 376 384 423 456 512 534 564 576 608 684 712 722 752 768 801 846 893 912 1024 1068 1083 1128 1152 1216 1368 1424 1444 1504 1536 1602 1691 1692 1786 1824 2048 2136 2166 2209 2256 2304 2432 2679 2736 2848 2888 3008 3072 3204 3249 3382 3384 3572 3648 4096 4183 4272 4332 4418 4512 4608 4864 5073 5358 5472 5696 5776 6016 6144 6408 6498 6627 6764 6768 7144 7296 8037 8366 8544 8664 8836 9024 9216 9728 10146 10716 10944 11392 11552 12032 12288 12549 12816 12996 13254 13528 13536 14288 14592 15219 16074 16732 16967 17088 17328 17672 18048 18432 19456 19881 20292 21432 21888 22784 23104 24064 25098 25632 25992 26508 27056 27072 28576 29184 30438 32129 32148 33464 33934 34176 34656 35344 36096 36864 37647 38912 39762 40584 41971 42864 43776 45568 46208 48128 50196 50901 51264 51984 53016 54112 54144 57152 58368 60876 64258 64296 66928 67868 68352 69312 70688 72192 75294 77824 79477 79524 81168 83942 85728 87552 91136 92416 96256 96387 100392 101802 102528 103823 103968 106032 108224 108288 114304 116736 121752 125913 128516 128592 133856 135736 136704 138624 141376 144384 150588 152703 158954 159048 162336 167884 171456 175104 182272 184832 192512 192774 196601 200784 203604 205056 207646 207936 212064 216448 216576 228608 233472 238431 243504 251826 257032 257184 267712 271472 273408 277248 282752 288768 289161 301176 305406 311469 317908 318096 324672 335768 342912 350208 364544 369664 377739 385548 393202 401568 407208 410112 415292 415872 424128 432896 433152 457216 476862 487008 503652 514064 514368 535424 542944 546816 554496 565504 577536 578322 589803 602352 610812 622938 635816 636192 649344 671536 685824 700416 715293 739328 755478 771096 786404 797449 803136 814416 820224 830584 831744 848256 865792 866304 914432 934407 953724 974016 1007304 1028128 1028736 1070848 1085888 1093632 1108992 1131008 1156644 1179606 1204704 1221624 1245876 1271632 1272384 1298688 1343072 1371648 1430586 1478656 1510063 1510956 1542192 1572808 1594898 1606272 1628832 1640448 1661168 1663488 1696512 1731584 1732608 1769409 1828864 1868814 1907448 1948032 1972637 2014608 2056256 2057472 2141696 2171776 2217984 2262016 2313288 2359212 2392347 2409408 2443248 2491752 2543264 2544768 2597376 2686144 2743296 2861172 3020126 3021912 3084384 3145616 3189796 3212544 3257664 3280896 3322336 3326976 3393024 3463168 3538818 3657728 3735419 3737628 3814896 3896064 3945274 4029216 4112512 4114944 4283392 4343552 4435968 4524032 4530189 4626576 4718424 4784694 4818816 4886496 4983504 5086528 5089536 5194752 5372288 5486592 5722344 5917911 6040252 6043824 6168768 6291232 6379592 6425088 6515328 6644672 6653952 6786048 6926336 7077636 7177041 7470838 7475256 7629792 7792128 7890548 8058432 8225024 8229888 8566784 8687104 9048064 9060378 9240247 9253152 9436848 9569388 9637632 9772992 9967008 10173056 10179072 10389504 10744576 10973184 11206257 11444688 11835822 12080504 12087648 12337536 12582464 12759184 12850176 13030656 13289344 13307904 13572096 13590567 14155272 14354082 14941676 14950512 15259584 15584256 15781096 16116864 16450048 16459776 17133568 17374208 17753733 18120756 18480494 18506304 18873696 19138776 19275264 19545984 19934016 20346112 20358144 20779008 21489152 22412514 22889376 23671644 24161008 24175296 24675072 25164928 25518368 25700352 26061312 26578688 27144192 27181134 27720741 28310544 28708164 29883352 29901024 30519168 31168512 31562192 32233728 32900096 32919552 33618771 34748416 35507466 36241512 36960988 37012608 37480103 37747392 38277552 38550528 39091968 39868032 40692224 40716288 42978304 44825028 45778752 47343288 48322016 48350592 49350144 50329856 51036736 51400704 52122624 53157376 54362268 55441482 56621088 57416328 59766704 59802048 61038336 62337024 63124384 64467456 65800192 67237542 69496832 70972961 71014932 72483024 73921976 74025216 74960206 75494784 76555104 77101056 78183936 79736064 81384448 81432576 83162223 85956608 89650056 91557504 94686576 96644032 96701184 98700288 100659712 102073472 104245248 106314752 108724536 110882964 112440309 113242176 114832656 119533408 119604096 122076672 126248768 128934912 131600384 134475084 141945922 142029864 144966048 147843952 148050432 149920412 150989568 153110208 154202112 156367872 159472128 162768896 166324446 171913216 175564693 179300112 183115008 189373152 193288064 193402368 197400576 201319424 204146944 208490496 212629504 212918883 217449072 221765928 224880618 226484352 229665312 239066816 239208192 244153344 252497536 257869824 268950168 283891844 284059728 289932096 295687904 296100864 299840824 301979136 306220416 312735744 318944256 325537792 332648892 337320927 351129386 358600224 366230016 378746304 386576128 386804736 394801152 402638848 408293888 425259008 425837766 434898144 443531856 449761236 452968704 459330624 478133632 478416384 488306688 504995072 515739648 526694079 537900336 567783688 568119456 579864192 591375808 592201728 599681648 603958272 612440832 625471488 637888512 638756649 665297784 674641854 702258772 717200448 732460032 757492608 773152256 773609472 805277696 816587776 851675532 869796288 887063712 899522472 905937408 918661248 956267264 956832768 976613376 1009990144 1053388158 1075800672 1135567376 1136238912 1159728384 1182751616 1184403456 1199363296 1207916544 1224881664 1275777024 1277513298 1330595568 1349283708 1404517544 1434400896 1464920064 1514985216 1546304512 1547218944 1580082237 1633175552 1703351064 1739592576 1774127424 1799044944 1811874816 1837322496 1912534528 1913665536 2019980288 2106776316 2151601344 2271134752 2272477824 2319456768 2365503232 2398726592 2415833088 2449763328 2555026596 2661191136 2698567416 2809035088 2868801792 2929840128 3029970432 3092609024 3160164474 3266351104 3335729167 3406702128 3479185152 3548254848 3598089888 3623749632 3674644992 3825069056 3827331072 4039960576 4213552632 4303202688 4542269504 4544955648 4638913536 4731006464 4797453184 4899526656 5110053192 5322382272 5397134832 5618070176 5737603584 6059940864 6185218048 6320328948 6671458334 6813404256 6958370304 7096509696 7196179776 7247499264 7349289984 7650138112 8079921152 8427105264 8606405376 9084539008 9089911296 9277827072 9462012928 9594906368 9799053312 10007187501 10220106384 10644764544 10794269664 11236140352 11475207168 12119881728 12640657896 13342916668 13626808512 13916740608 14193019392 14392359552 14698579968 15300276224 16854210528 17212810752 18169078016 18179822592 18555654144 18924025856 19189812736 20014375002 20440212768 21289529088 21588539328 22472280704 22950414336 24239763456 25281315792 26685833336 27253617024 27833481216 28386038784 28784719104 29397159936 30021562503 33708421056 34425621504 36338156032 36359645184 37848051712 38379625472 40028750004 40880425536 42579058176 43177078656 44944561408 45900828672 50562631584 53371666672 54507234048 55666962432 56772077568 57569438208 60043125006 67416842112 68851243008 72676312064 72719290368 76759250944 80057500008 81760851072 85158116352 86354157312 89889122816 101125263168 106743333344 109014468096 113544155136 115138876416 120086250012 134833684224 137702486016 145352624128 153518501888 160115000016 163521702144 170316232704 172708314624 179778245632 202250526336 213486666688 218028936192 230277752832 240172500024 269667368448 290705248256 320230000032 327043404288 340632465408 345416629248 359556491264 404501052672 426973333376 436057872384 460555505664 480345000048 539334736896 640460000064 654086808576 690833258496 719112982528 809002105344 853946666752 872115744768 960690000096 1078669473792 1280920000128 1308173617152 1381666516992 1618004210688 1707893333504 1921380000192 2157338947584 2561840000256 2616347234304 3236008421376 3415786667008 3842760000384 5123680000512 6472016842752 6831573334016 7685520000768 10247360001024 13663146668032 15371040001536 20494720002048 30742080003072 40989440004096 61484160006144 122968320012288
- Sum of all divisors σ(n): 387330123585600
- Sum of proper divisors (its aliquot sum) s(n): 264361803573312
- 122968320012288 is an abundant number, because the sum of its proper divisors (264361803573312) is greater than itself. Its abundance is 141393483561024
Bases of 122968320012288
- Binary: 110111111010110110010110000100001110000000000002
- Hexadecimal: 0x6FD6CB087000
- Base-36: 17L6V6SCG0
Squares and roots of 122968320012288
- 122968320012288 squared (1229683200122882) is 15121207726644469432470994944
- 122968320012288 cubed (1229683200122883) is 1859429510702299043947318937378377665871872
-
The
square root of 122968320012288 is 11089108.1702852913 -
The
cube root of 122968320012288 is 49727.6283023057
Scales and comparisons
How big is 122968320012288?- 122,968,320,012,288 seconds is equal to 3,910,012 years, 10 weeks, 6 days, 14 hours, 4 minutes, 48 seconds.
-
To count from 1 to 122,968,320,012,288 would take you about nine million, seven hundred seventy-five thousand and thirty 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 122968320012288 cubic inches would be around 4144 feet tall.
Recreational maths with 122968320012288
- 122968320012288 backwards is 882210023869221
- The number of decimal digits it has is: 15
- The sum of 122968320012288's digits is 54
- More coming soon!
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"Number 122968320012288 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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The information we have on file for 122968320012288 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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