378131048064
378,131,048,064 is an even composite number composed of six prime numbers multiplied together.
What does the number 378131048064 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
378131048064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 378131048064:
27 × 35 × 7 × 112 × 31 × 463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 31 × 463)See below for interesting mathematical facts about the number 378131048064 from the Numbermatics database.
Names of 378131048064
- Cardinal: 378131048064 can be written as Three hundred seventy-eight billion, one hundred thirty-one million, forty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 3.78131048064 × 1011
Factors of 378131048064
Divisors of 378131048064
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 54 56 62 63 64 66 72 77 81 84 88 93 96 99 108 112 121 124 126 128 132 144 154 162 168 176 186 189 192 198 216 217 224 231 242 243 248 252 264 279 288 297 308 324 336 341 352 363 372 378 384 396 432 434 448 462 463 484 486 496 504 528 558 567 576 594 616 648 651 672 682 693 704 726 744 756 792 837 847 864 868 891 896 924 926 968 972 992 1008 1023 1056 1089 1116 1134 1152 1188 1232 1296 1302 1344 1364 1386 1389 1408 1452 1488 1512 1584 1674 1694 1701 1728 1736 1782 1848 1852 1936 1944 1953 1984 2016 2046 2079 2112 2178 2232 2268 2376 2387 2464 2511 2541 2592 2604 2673 2688 2728 2772 2778 2904 2976 3024 3069 3168 3241 3267 3348 3388 3402 3456 3472 3564 3696 3704 3751 3872 3888 3906 3968 4032 4092 4158 4167 4224 4356 4464 4536 4752 4774 4928 5022 5082 5093 5184 5208 5346 5456 5544 5556 5808 5859 5952 6048 6138 6237 6336 6482 6534 6696 6776 6804 6944 7128 7161 7392 7408 7502 7533 7623 7744 7776 7812 8064 8184 8316 8334 8712 8928 9072 9207 9504 9548 9723 9801 9856 10044 10164 10186 10368 10416 10692 10912 11088 11112 11253 11616 11718 11904 12096 12276 12474 12501 12672 12964 13068 13392 13552 13608 13888 14256 14322 14353 14784 14816 15004 15066 15246 15279 15488 15552 15624 16368 16632 16668 17424 17577 17856 18144 18414 18711 19008 19096 19446 19602 20088 20328 20372 20832 21384 21483 21824 22176 22224 22506 22869 23232 23436 24192 24552 24948 25002 25928 26136 26257 26784 27104 27216 27621 27776 28512 28644 28706 29169 29403 29568 29632 30008 30132 30492 30558 31104 31248 32736 33264 33336 33759 34848 35154 35651 35712 36288 36828 37422 37503 38016 38192 38892 39204 40176 40656 40744 41664 42768 42966 43059 43648 44352 44448 45012 45738 45837 46464 46872 49104 49896 50004 51856 52272 52514 52731 53568 54208 54432 55242 56023 57024 57288 57412 58338 58806 59264 60016 60264 60984 61116 62496 64449 65472 66528 66672 67518 68607 69696 70308 71302 72576 73656 74844 75006 76384 77784 78408 78771 80352 81312 81488 82863 83328 85536 85932 86118 87507 88704 88896 90024 91476 91674 93744 98208 99792 100008 100471 101277 103712 104544 105028 105462 106953 107136 108416 108864 110484 112046 112509 114048 114576 114824 116676 117612 120032 120528 121968 122232 124992 128898 129177 130944 133056 133344 135036 137214 137511 139392 140616 142604 147312 149688 150012 152768 155568 156816 157542 157883 160704 162624 162976 165726 168069 171072 171864 172236 175014 177792 180048 182952 183348 187488 193347 196416 199584 200016 200942 202554 205821 207424 209088 210056 210924 213906 217728 220968 224092 225018 229152 229648 233352 235224 236313 240064 241056 243936 244464 249984 257796 258354 262521 266112 266688 270072 274428 275022 281232 285208 294624 299376 300024 301413 303831 305536 311136 313632 315084 315766 320859 321408 325248 325952 331452 336138 342144 343728 344472 350028 360096 365904 366696 374976 386694 387531 392161 392832 399168 400032 401884 405108 411642 412533 414848 418176 420112 421848 427812 441936 448184 450036 458304 459296 466704 470448 472626 473649 480128 482112 487872 488928 504207 515592 516708 525042 533376 540144 548856 550044 562464 570416 580041 589248 598752 600048 602826 607662 622272 627264 630168 631532 641718 651904 662904 672276 687456 688944 700056 708939 720192 731808 733392 749952 773388 775062 784322 787563 798336 800064 803768 810216 823284 825066 840224 843696 855624 883872 896368 900072 904239 911493 916608 918592 933408 940896 945252 947298 962577 964224 975744 977856 1008414 1031184 1033416 1050084 1080288 1097712 1100088 1105181 1124928 1140832 1160082 1162593 1176483 1178496 1197504 1200096 1205652 1215324 1237599 1244544 1254528 1260336 1263064 1283436 1325808 1344552 1374912 1377888 1400112 1417878 1420947 1440384 1463616 1466784 1512621 1546776 1550124 1568644 1575126 1600128 1607536 1620432 1646568 1650132 1680448 1687392 1711248 1736713 1767744 1792736 1800144 1808478 1822986 1837184 1866816 1881792 1890504 1894596 1925154 1955712 2016828 2062368 2066832 2100168 2126817 2160576 2195424 2200176 2210362 2249856 2281664 2320164 2325186 2352966 2395008 2400192 2411304 2430648 2475198 2520672 2526128 2566872 2651616 2689104 2712717 2749824 2755776 2800224 2835756 2841894 2887731 2927232 2933568 3025242 3093552 3100248 3137288 3150252 3215072 3240864 3293136 3300264 3315543 3360896 3374784 3422496 3473426 3487779 3529449 3535488 3585472 3600288 3616956 3645972 3733632 3763584 3781008 3789192 3850308 4033656 4124736 4133664 4200336 4253634 4262841 4321152 4390848 4400352 4420724 4537863 4563328 4640328 4650372 4705932 4800384 4822608 4861296 4950396 5041344 5052256 5133744 5210139 5303232 5378208 5425434 5511552 5600448 5671512 5683788 5775462 5867136 6050484 6187104 6200496 6274576 6300504 6380451 6430144 6481728 6586272 6600528 6631086 6749568 6844992 6946852 6975558 7058898 7170944 7200576 7233912 7291944 7562016 7578384 7700616 8067312 8138151 8249472 8267328 8400672 8507268 8525682 8663193 8781696 8800704 8841448 9075726 9280656 9300744 9411864 9645216 9722592 9900792 9946629 10082688 10104512 10267488 10420278 10588347 10606464 10756416 10850868 11200896 11343024 11367576 11550924 12100968 12156991 12374208 12400992 12549152 12601008 12760902 12788523 12860288 12963456 13172544 13201056 13262172 13613589 13689984 13893704 13951116 14117796 14401152 14467824 14583888 15124032 15156768 15401232 15630417 16134624 16276302 16534656 16801344 17014536 17051364 17326386 17601408 17682896 18151452 18561312 18601488 18823728 19290432 19445184 19801584 19893258 20209024 20534976 20840556 21176694 21512832 21701736 22686048 22735152 23101848 24201936 24313982 24414453 24748416 24801984 25098304 25202016 25521804 25577046 26345088 26402112 26524344 27227178 27787408 27902232 28235592 28935648 29167776 29839887 30248064 30313536 30802464 31260834 31765041 32269248 32552604 33602688 34029072 34102728 34652772 35365792 36302904 36470973 37122624 37202976 37647456 38365569 38580864 38890368 39603168 39786516 41069952 41681112 42353388 43403472 45372096 45470304 46203696 46891251 48403872 48627964 48828906 49603968 50196608 50404032 51043608 51154092 52804224 53048688 54454356 55574816 55804464 56471184 57871296 58335552 59679774 60627072 61604928 62521668 63530082 64538496 65105208 68058144 68205456 69305544 70731584 72605808 72941946 74245248 74405952 75294912 76731138 79206336 79573032 83362224 84706776 86806944 89519661 90744192 90940608 92407392 93782502 95295123 96807744 97255928 97657812 100808064 102087216 102308184 106097376 108908712 109412919 111149632 111608928 112942368 115742592 116671104 119359548 123209856 125043336 127060164 130210416 136116288 136410912 138611088 140673753 141463168 145211616 145883892 148811904 150589824 153462276 158412672 159146064 166724448 169413552 173613888 179039322 181881216 184814784 187565004 190590246 193615488 194511856 195315624 204174432 204616368 212194752 217817424 218825838 222299264 223217856 225884736 238719096 250086672 254120328 260420832 268558983 272232576 272821824 277222176 281347506 290423232 291767784 306924552 318292128 328238757 333448896 338827104 347227776 358078644 369629568 375130008 381180492 389023712 390631248 408348864 409232736 422021259 424389504 435634848 437651676 446435712 451769472 477438192 500173344 508240656 520841664 537117966 545643648 554444352 562695012 580846464 583535568 613849104 636584256 656477514 666897792 677654208 716157288 750260016 762360984 778047424 781262496 816697728 818465472 844042518 871269696 875303352 954876384 984716271 1000346688 1016481312 1041683328 1074235932 1108888704 1125390024 1167071136 1227698208 1273168512 1312955028 1355308416 1432314576 1500520032 1524721968 1556094848 1562524992 1636930944 1688085036 1742539392 1750606704 1909752768 1969432542 2000693376 2032962624 2148471864 2250780048 2334142272 2455396416 2625910056 2864629152 2954148813 3001040064 3049443936 3125049984 3376170072 3501213408 3819505536 3938865084 4065925248 4296943728 4501560096 4668284544 4910792832 5251820112 5729258304 5908297626 6002080128 6098887872 6752340144 7002426816 7877730168 8593887456 9003120192 10503640224 11458516608 11816595252 12197775744 13504680288 14004853632 15755460336 17187774912 18006240384 21007280448 23633190504 27009360576 31510920672 34375549824 42014560896 47266381008 54018721152 63021841344 94532762016 126043682688 189065524032 378131048064
- Sum of all divisors σ(n): 1466395607040
- Sum of proper divisors (its aliquot sum) s(n): 1088264558976
- 378131048064 is an abundant number, because the sum of its proper divisors (1088264558976) is greater than itself. Its abundance is 710133510912
Bases of 378131048064
- Binary: 1011000000010100101110111100110100000002
- Hexadecimal: 0x580A5DE680
- Base-36: 4TPLGO00
Squares and roots of 378131048064
- 378131048064 squared (3781310480642) is 142983089509979078148096
- 378131048064 cubed (3781310480643) is 54066345491837113006852100686086144
-
The
square root of 378131048064 is 614923.6115681361 -
The
cube root of 378131048064 is 7231.2622633851
Scales and comparisons
How big is 378131048064?- 378,131,048,064 seconds is equal to 12,023 years, 20 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 378,131,048,064 would take you about twenty-four thousand and forty-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 378131048064 cubic inches would be around 602.6 feet tall.
Recreational maths with 378131048064
- 378131048064 backwards is 460840131873
- The number of decimal digits it has is: 12
- The sum of 378131048064's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 378131048064 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 378131048064 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/378131048064/
Chicago style:
Numbermatics. 2024. "Number 378131048064 - Facts about the integer". https://numbermatics.com/n/378131048064/
The information we have on file for 378131048064 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 378131048064, math, Factors of 378131048064, curriculum, school, college, exams, university, Prime factorization of 378131048064, STEM, science, technology, engineering, physics, economics, calculator, three hundred seventy-eight billion, one hundred thirty-one million, forty-eight thousand and sixty-four.