148009971744768
148,009,971,744,768 is an even composite number composed of seven prime numbers multiplied together.
148009971744768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 148009971744768:
217 × 3 × 7 × 23 × 41 × 127 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 23 × 41 × 127 × 449)See below for interesting mathematical facts about the number 148009971744768 from the Numbermatics database.
Names of 148009971744768
- Cardinal: 148009971744768 can be written as One hundred forty-eight trillion, nine billion, nine hundred seventy-one million, seven hundred forty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.48009971744768 × 1014
Factors of 148009971744768
Divisors of 148009971744768
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 41 42 46 48 56 64 69 82 84 92 96 112 123 127 128 138 161 164 168 184 192 224 246 254 256 276 287 322 328 336 368 381 384 448 449 483 492 508 512 552 574 644 656 672 736 762 768 861 889 896 898 943 966 984 1016 1024 1104 1148 1288 1312 1344 1347 1472 1524 1536 1722 1778 1792 1796 1886 1932 1968 2032 2048 2208 2296 2576 2624 2667 2688 2694 2829 2921 2944 3048 3072 3143 3444 3556 3584 3592 3772 3864 3936 4064 4096 4416 4592 5152 5207 5248 5334 5376 5388 5658 5842 5888 6096 6144 6286 6601 6888 7112 7168 7184 7544 7728 7872 8128 8192 8763 8832 9184 9429 10304 10327 10414 10496 10668 10752 10776 11316 11684 11776 12192 12288 12572 13202 13776 14224 14336 14368 15088 15456 15621 15744 16256 16384 17526 17664 18368 18409 18858 19803 20447 20608 20654 20828 20992 21336 21504 21552 22632 23368 23552 24384 24576 25144 26404 27552 28448 28672 28736 30176 30912 30981 31242 31488 32512 32768 35052 35328 36449 36736 36818 37716 39606 40894 41216 41308 41656 41984 42672 43008 43104 45264 46736 47104 48768 49152 50288 52808 55104 55227 56896 57023 57344 57472 60352 61341 61824 61962 62484 62976 65024 65536 70104 70656 72289 72898 73472 73636 75432 79212 81788 82432 82616 83312 83968 85344 86016 86208 90528 93472 94208 97536 98304 100576 105616 109347 110208 110454 113792 114046 114688 114944 119761 120704 122682 123648 123924 124968 125952 128863 130048 131072 140208 141312 144578 145796 146944 147272 150864 158424 163576 164864 165232 166624 167936 170688 171069 172032 172416 181056 186944 188416 195072 196608 201152 211232 216867 218694 220416 220908 227584 228092 229376 229888 239522 241408 245364 247296 247848 249936 251904 257726 260096 280416 282624 289156 291592 293888 294544 301728 316848 327152 329728 330464 333248 335872 341376 342138 344064 344832 359283 362112 373888 376832 386589 390144 393216 399161 402304 422464 423407 433734 437388 440832 441816 455168 456184 458752 459776 479044 482816 490728 494592 495696 499872 503808 515452 520192 560832 565248 578312 583184 587776 589088 603456 633696 654304 659456 660928 666496 671744 682752 684276 688128 689664 718566 724224 747776 753664 773178 780288 798322 804608 838327 844928 846814 867468 874776 881664 883632 910336 912368 917504 919552 958088 965632 981456 989184 991392 999744 1007616 1030904 1040384 1121664 1130496 1156624 1166368 1175552 1178176 1197483 1206912 1267392 1270221 1308608 1311529 1318912 1321856 1332992 1343488 1365504 1368552 1376256 1379328 1437132 1448448 1495552 1507328 1546356 1560576 1596644 1609216 1676654 1689856 1693628 1734936 1749552 1763328 1767264 1820672 1824736 1839104 1916176 1931264 1962912 1978368 1982784 1999488 2015232 2061808 2080768 2243328 2260992 2313248 2332736 2337943 2351104 2356352 2394966 2413824 2514981 2534784 2540442 2617216 2623058 2637824 2643712 2665984 2686976 2731008 2737104 2752512 2758656 2874264 2896896 2963849 2991104 3014656 3092712 3121152 3193288 3218432 3353308 3379712 3387256 3469872 3499104 3526656 3534528 3641344 3649472 3678208 3832352 3862528 3925824 3934587 3956736 3965568 3998976 4030464 4123616 4161536 4486656 4521984 4626496 4665472 4675886 4702208 4712704 4789932 4827648 5029962 5069568 5080884 5234432 5246116 5275648 5287424 5331968 5373952 5462016 5474208 5517312 5748528 5793792 5927698 5982208 6185424 6242304 6386576 6436864 6706616 6759424 6774512 6939744 6998208 7013829 7053312 7069056 7282688 7298944 7356416 7664704 7725056 7851648 7869174 7913472 7931136 7997952 8060928 8247232 8323072 8891547 8973312 9043968 9180703 9252992 9330944 9351772 9404416 9425408 9579864 9655296 10059924 10139136 10161768 10468864 10492232 10551296 10574848 10663936 10924032 10948416 11034624 11497056 11587584 11855396 11964416 12370848 12484608 12773152 12873728 13413232 13518848 13549024 13879488 13996416 14027658 14106624 14138112 14565376 14597888 14712832 15329408 15450112 15703296 15738348 15826944 15862272 15995904 16121856 16365601 16494464 16646144 17783094 17946624 18361406 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12568781568 12667748352 13079707648 13735149568 13765808384 13874200576 14101559808 14212595712 14332329984 14364321792 15697313792 16116068352 16758375424 16890331136 18067623504 18209888256 18802079744 19152429056 19619561472 20602724352 20648712576 20811300864 21488091136 22422355968 23545970688 24090164672 24279851008 25137563136 25335496704 26159415296 27470299136 27531616768 27748401152 28203119616 28425191424 28728643584 32232136704 33516750848 36135247008 36419776512 37604159488 38304858112 39239122944 41205448704 41297425152 41622601728 42976182272 47091941376 48180329344 48559702016 50275126272 50670993408 52318830592 54940598272 55063233536 55496802304 56406239232 57457287168 64464273408 67033501696 72270494016 72839553024 75208318976 76609716224 78478245888 82410897408 82594850304 83245203456 85952364544 96360658688 97119404032 100550252544 109881196544 110126467072 112812478464 114914574336 128928546816 134067003392 144540988032 145679106048 150416637952 153219432448 156956491776 164821794816 165189700608 166490406912 171904729088 192721317376 194238808064 201100505088 220252934144 225624956928 229829148672 257857093632 268134006784 289081976064 291358212096 300833275904 306438864896 329643589632 330379401216 385442634752 388477616128 402201010176 440505868288 451249913856 459658297344 515714187264 536268013568 578163952128 582716424192 601666551808 660758802432 770885269504 804402020352 881011736576 902499827712 919316594688 1072536027136 1156327904256 1165432848384 1203333103616 1321517604864 1541770539008 1608804040704 1762023473152 1804999655424 2145072054272 2312655808512 2643035209728 3083541078016 3217608081408 3524046946304 3609999310848 4625311617024 5286070419456 6167082156032 6435216162816 7048093892608 9250623234048 10572140838912 12334164312064 18501246468096 21144281677824 24668328624128 37002492936192 49336657248256 74004985872384 148009971744768
- Sum of all divisors σ(n): 487047433420800
- Sum of proper divisors (its aliquot sum) s(n): 339037461676032
- 148009971744768 is an abundant number, because the sum of its proper divisors (339037461676032) is greater than itself. Its abundance is 191027489931264
Bases of 148009971744768
- Binary: 1000011010011101010000011100101000000000000000002
- Hexadecimal: 0x869D41CA0000
- Base-36: 1GGQUBO7PC
Squares and roots of 148009971744768
- 148009971744768 squared (1480099717447682) is 21906951735887021718135373824
- 148009971744768 cubed (1480099717447683) is 3242447307442634374210692244736645196152832
-
The
square root of 148009971744768 is 12165934.8898787059 -
The
cube root of 148009971744768 is 52896.9126792405
Scales and comparisons
How big is 148009971744768?- 148,009,971,744,768 seconds is equal to 4,706,259 years, 14 weeks, 2 days, 16 hours, 12 minutes, 48 seconds.
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To count from 1 to 148,009,971,744,768 would take you about eleven million, seven hundred sixty-five thousand, six 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 148009971744768 cubic inches would be around 4408.1 feet tall.
Recreational maths with 148009971744768
- 148009971744768 backwards is 867447179900841
- The number of decimal digits it has is: 15
- The sum of 148009971744768's digits is 75
- More coming soon!
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The information we have on file for 148009971744768 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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