148317421824
148,317,421,824 is an even composite number composed of seven prime numbers multiplied together.
What does the number 148317421824 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
148317421824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 148317421824:
28 × 32 × 11 × 13 × 192 × 29 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 19 × 19 × 29 × 43)See below for interesting mathematical facts about the number 148317421824 from the Numbermatics database.
Names of 148317421824
- Cardinal: 148317421824 can be written as One hundred forty-eight billion, three hundred seventeen million, four hundred twenty-one thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.48317421824 × 1011
Factors of 148317421824
Divisors of 148317421824
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 29 32 33 36 38 39 43 44 48 52 57 58 64 66 72 76 78 86 87 88 96 99 104 114 116 117 128 129 132 143 144 152 156 171 172 174 176 192 198 208 209 228 232 234 247 256 258 261 264 286 288 304 312 319 342 344 348 352 361 377 384 387 396 416 418 429 456 464 468 473 494 516 522 528 551 559 572 576 608 624 627 638 684 688 696 704 722 741 754 768 774 792 817 832 836 858 912 928 936 946 957 988 1032 1044 1056 1083 1102 1118 1131 1144 1152 1216 1247 1248 1254 1276 1287 1368 1376 1392 1408 1419 1444 1482 1508 1548 1584 1634 1653 1664 1672 1677 1716 1824 1856 1872 1881 1892 1914 1976 2064 2088 2112 2166 2204 2223 2236 2262 2288 2304 2432 2451 2494 2496 2508 2552 2574 2717 2736 2752 2784 2816 2838 2871 2888 2964 3016 3096 3168 3249 3268 3306 3328 3344 3354 3393 3432 3648 3712 3741 3744 3762 3784 3828 3952 3971 4128 4147 4176 4224 4257 4332 4408 4446 4472 4524 4576 4693 4864 4902 4959 4988 4992 5016 5031 5104 5148 5434 5472 5504 5568 5676 5742 5776 5928 6032 6061 6149 6192 6336 6498 6536 6612 6688 6708 6786 6864 7163 7296 7353 7424 7482 7488 7524 7568 7656 7904 7942 8151 8256 8294 8352 8448 8514 8664 8816 8892 8944 8987 9048 9152 9386 9804 9918 9976 9984 10032 10062 10208 10296 10469 10621 10868 10944 11008 11136 11223 11352 11484 11552 11856 11913 12064 12122 12298 12384 12441 12672 12996 13072 13224 13376 13416 13572 13717 13728 14079 14326 14592 14706 14964 14976 15048 15136 15312 15523 15808 15884 16211 16302 16512 16588 16704 17028 17328 17632 17784 17888 17974 18096 18183 18304 18447 18772 19608 19836 19952 20064 20124 20416 20592 20938 21242 21489 21736 21888 22272 22446 22704 22968 23104 23693 23712 23826 24128 24244 24453 24596 24768 24882 25344 25992 26144 26448 26752 26832 26961 27144 27434 27456 28158 28652 29412 29928 29952 30096 30272 30624 31046 31407 31616 31768 31863 32422 32604 33024 33176 33408 34056 34656 35264 35568 35739 35776 35948 36192 36366 36608 36894 37323 37544 39216 39672 39904 40128 40248 40832 41151 41184 41876 42237 42484 42978 43472 43776 44892 45408 45936 46208 46569 47386 47424 47652 48256 48488 48633 48906 49192 49536 49764 51623 51984 52288 52896 53504 53664 53922 54288 54549 54868 54912 55341 56316 57304 58824 59856 60192 60544 61248 62092 62814 63232 63536 63726 64467 64844 65208 66352 66816 68112 69312 70528 71079 71136 71478 71552 71896 72384 72732 73788 74646 75088 78432 78793 79344 79808 80256 80496 80883 81664 82302 82368 83752 84474 84968 85956 86944 89784 90816 91872 92416 93138 94221 94772 94848 95304 95589 96512 96976 97266 97812 98384 99072 99528 103246 103968 104576 105792 107328 107844 108576 109098 109736 109824 110682 112632 114608 115159 116831 117648 119712 120384 121088 122496 123453 124184 125628 127072 127452 128934 129688 130416 132704 136097 136224 138624 139707 141056 142158 142272 142956 143104 143792 144768 145464 145899 147576 149292 150176 154869 156864 157586 158688 159616 160512 160992 161766 164604 164736 167504 168948 169936 170753 171912 173888 178321 179568 181632 183744 186276 188442 189544 189696 190608 191178 193952 194532 195624 196768 199056 201799 206492 207936 209152 211584 213237 214656 215688 217152 218196 219472 221364 225264 229216 230318 233662 235296 236379 239424 240768 244992 246906 248368 251256 254144 254904 257868 259376 260623 260832 265408 272194 272448 277248 279414 284316 284544 285912 287584 289536 290928 291798 295152 298584 300352 308009 309738 313728 315172 317376 319232 321984 323532 329208 329472 335008 337896 339872 341506 343824 345477 347776 350493 356642 359136 363264 367488 372552 376884 379088 381216 382356 387904 389064 391248 393536 398112 403598 408291 412984 415872 423168 426474 429312 431376 434304 436392 438944 442728 450167 450528 458432 460636 464607 467324 470592 472758 478848 481536 493812 496736 502512 508288 509808 512259 515736 518752 521246 521664 530816 534963 544388 544896 558828 568632 569088 571824 575168 581856 583596 590304 597168 600704 605397 616018 619476 627456 630344 634752 643968 647064 658416 670016 675792 679744 683012 687648 690954 695552 700986 709137 713284 718272 734976 745104 753768 758176 762432 764712 775808 778128 781869 782496 787072 796224 807196 816582 825968 831744 852948 862752 868608 872784 877888 885456 900334 901056 916864 921272 924027 929214 934648 941184 945516 957696 987624 993472 1005024 1016576 1019616 1024518 1031472 1036431 1037504 1042492 1043328 1051479 1061632 1069926 1088776 1089792 1117656 1137264 1143648 1150336 1163712 1167192 1180608 1194336 1201408 1210794 1224873 1232036 1238952 1260688 1269504 1287936 1294128 1316832 1340032 1350501 1351584 1359488 1366024 1375296 1381908 1401972 1418274 1426568 1436544 1490208 1497067 1507536 1516352 1524864 1529424 1536777 1551616 1556256 1563738 1564992 1574144 1592448 1604889 1614392 1633164 1651936 1705896 1725504 1745568 1755776 1770912 1800668 1802112 1816191 1833728 1842544 1848054 1858428 1869296 1882368 1891032 1975248 1986944 2010048 2039232 2049036 2062944 2072862 2075008 2084984 2086656 2102958 2139852 2177552 2219789 2235312 2274528 2287296 2300672 2327424 2334384 2345607 2361216 2388672 2421588 2449746 2464072 2477904 2521376 2588256 2633664 2680064 2701002 2703168 2718976 2732048 2750592 2763816 2772081 2803944 2836548 2853136 2873088 2980416 2994134 3015072 3032704 3049728 3058848 3073554 3112512 3127476 3129984 3184896 3209778 3228784 3266328 3303872 3388099 3411792 3451008 3491136 3511552 3541824 3601336 3604224 3632382 3685088 3696108 3716856 3738592 3782064 3950496 3973888 4020096 4051503 4078464 4098072 4125888 4145724 4150016 4169968 4205916 4279704 4355104 4439578 4470624 4491201 4549056 4574592 4654848 4668768 4691214 4722432 4777344 4843176 4899492 4928144 4951837 4955808 5042752 5176512 5267328 5402004 5406336 5464096 5501184 5527632 5544162 5607888 5673096 5706272 5852171 5960832 5988268 6030144 6065408 6117696 6147108 6225024 6254952 6259968 6419556 6457568 6532656 6607744 6659367 6776198 6823584 6902016 6982272 7083648 7202672 7264764 7370176 7392216 7433712 7477184 7564128 7900992 8040192 8103006 8156928 8196144 8251776 8291448 8339936 8411832 8559408 8710208 8879156 8941248 8982402 9098112 9149184 9337536 9382428 9554688 9686352 9798984 9856288 9903674 9911616 10085504 10164297 10353024 10534656 10804008 10812672 10928192 11055264 11088324 11215776 11346192 11412544 11704342 11921664 11976536 12060288 12235392 12294216 12450048 12509904 12839112 12915136 13065312 13215488 13318734 13473603 13552396 13647168 13964544 14167296 14405344 14529528 14740352 14784432 14855511 14867424 14954368 15128256 15801984 16206012 16392288 16503552 16582896 16679872 16823664 17118816 17420416 17556513 17758312 17882496 17964804 18196224 18675072 18764856 19372704 19597968 19712576 19807348 19823232 19978101 20171008 20328594 20706048 21608016 21856384 22110528 22176648 22431552 22692384 22825088 23408684 23953072 24120576 24470784 24588432 25019808 25678224 25830272 26130624 26637468 26947206 27104792 27294336 28810688 29059056 29480704 29568864 29711022 29734848 29908736 30256512 30492891 31603968 32412024 32784576 33165792 33359744 33647328 34237632 34840832 35113026 35516624 35764992 35929608 37350144 37529712 38745408 39195936 39425152 39614696 39646464 39956202 40657188 43216032 43712768 44221056 44353296 44566533 44863104 45384768 45650176 46817368 47906144 49176864 50039616 51356448 51660544 52261248 52669539 53274936 53894412 54209584 54588672 57621376 58118112 59137728 59422044 59469696 60513024 60985782 64373881 64824048 65569152 66331584 66719488 67294656 68475264 70226052 71033248 71859216 75059424 77490816 78391872 78850304 79229392 79912404 81314376 86432064 88442112 88706592 89133066 89726208 90769536 93634736 95812288 98353728 100079232 102712896 104522496 105339078 106549872 107788824 108419168 115242752 116236224 118275456 118844088 118939392 121971564 128747762 129648096 131138304 132663168 134589312 136950528 140452104 142066496 143718432 150118848 154981632 156783744 158458784 159824808 162628752 172864128 177413184 178266132 181539072 187269472 191624576 193121643 196707456 200158464 205425792 210678156 213099744 215577648 216838336 232472448 236550912 237688176 243943128 257495524 259296192 265326336 269178624 280904208 284132992 287436864 300237696 313567488 316917568 319649616 325257504 345728256 354826368 356532264 374538944 383249152 386243286 393414912 410851584 421356312 426199488 431155296 433676672 464944896 475376352 487886256 514991048 518592384 561808416 568265984 574873728 579364929 600475392 633835136 639299232 650515008 709652736 713064528 749077888 772486572 842712624 852398976 862310592 867353344 950752704 975772512 1029982096 1037184768 1123616832 1149747456 1158729858 1267670272 1278598464 1301030016 1426129056 1498155776 1544973144 1685425248 1704797952 1724621184 1901505408 1951545024 2059964192 2247233664 2317459716 2557196928 2602060032 2852258112 3089946288 3370850496 3449242368 3803010816 3903090048 4119928384 4494467328 4634919432 5114393856 5704516224 6179892576 6741700992 7806180096 8239856768 9269838864 11409032448 12359785152 13483401984 16479713536 18539677728 24719570304 37079355456 49439140608 74158710912 148317421824
- Sum of all divisors σ(n): 561270790080
- Sum of proper divisors (its aliquot sum) s(n): 412953368256
- 148317421824 is an abundant number, because the sum of its proper divisors (412953368256) is greater than itself. Its abundance is 264635946432
Bases of 148317421824
- Binary: 100010100010000110100001000001000000002
- Hexadecimal: 0x2288684100
- Base-36: 1W4WD340
Squares and roots of 148317421824
- 148317421824 squared (1483174218242) is 21998057616518351486976
- 148317421824 cubed (1483174218243) is 3262695190817808367730917034164224
-
The
square root of 148317421824 is 385120.0096385541 -
The
cube root of 148317421824 is 5293.3513619097
Scales and comparisons
How big is 148317421824?- 148,317,421,824 seconds is equal to 4,716 years, 1 week, 5 days, 19 hours, 50 minutes, 24 seconds.
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To count from 1 to 148,317,421,824 would take you about nine thousand, four hundred thirty-two 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 148317421824 cubic inches would be around 441.1 feet tall.
Recreational maths with 148317421824
- 148317421824 backwards is 428124713841
- The number of decimal digits it has is: 12
- The sum of 148317421824's digits is 45
- More coming soon!
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The information we have on file for 148317421824 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 148317421824, math, Factors of 148317421824, curriculum, school, college, exams, university, Prime factorization of 148317421824, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight billion, three hundred seventeen million, four hundred twenty-one thousand, eight hundred twenty-four.