48145563648
48,145,563,648 is an even composite number composed of five prime numbers multiplied together.
48145563648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 48145563648:
216 × 33 × 7 × 132 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 23)See below for interesting mathematical facts about the number 48145563648 from the Numbermatics database.
Names of 48145563648
- Cardinal: 48145563648 can be written as Forty-eight billion, one hundred forty-five million, five hundred sixty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 4.8145563648 × 1010
Factors of 48145563648
Divisors of 48145563648
- Number of divisors d(n): 816
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 32 36 39 42 46 48 52 54 56 63 64 69 72 78 84 91 92 96 104 108 112 117 126 128 138 144 156 161 168 169 182 184 189 192 207 208 216 224 234 252 256 273 276 288 299 312 322 336 338 351 364 368 378 384 414 416 432 448 468 483 504 507 512 546 552 576 598 621 624 644 672 676 702 728 736 756 768 819 828 832 864 896 897 936 966 1008 1014 1024 1092 1104 1152 1183 1196 1242 1248 1288 1344 1352 1404 1449 1456 1472 1512 1521 1536 1638 1656 1664 1728 1792 1794 1872 1932 2016 2028 2048 2093 2184 2208 2304 2366 2392 2457 2484 2496 2576 2688 2691 2704 2808 2898 2912 2944 3024 3042 3072 3276 3312 3328 3456 3549 3584 3588 3744 3864 3887 4032 4056 4096 4186 4347 4368 4416 4563 4608 4732 4784 4914 4968 4992 5152 5376 5382 5408 5616 5796 5824 5888 6048 6084 6144 6279 6552 6624 6656 6912 7098 7168 7176 7488 7728 7774 8064 8073 8112 8192 8372 8694 8736 8832 9126 9216 9464 9568 9828 9936 9984 10304 10647 10752 10764 10816 11232 11592 11648 11661 11776 12096 12168 12288 12558 13104 13248 13312 13824 14196 14336 14352 14976 15456 15548 16128 16146 16224 16384 16744 17388 17472 17664 18252 18432 18837 18928 19136 19656 19872 19968 20608 21294 21504 21528 21632 22464 23184 23296 23322 23552 24192 24336 24576 25116 26208 26496 26624 27209 27648 28392 28672 28704 29952 30912 31096 31941 32256 32292 32448 32768 33488 34776 34944 34983 35328 36504 36864 37674 37856 38272 39312 39744 39936 41216 42588 43008 43056 43264 44928 46368 46592 46644 47104 48384 48672 49152 50232 52416 52992 53248 54418 55296 56511 56784 57344 57408 59904 61824 62192 63882 64512 64584 64896 65536 66976 69552 69888 69966 70656 73008 73728 75348 75712 76544 78624 79488 79872 81627 82432 85176 86016 86112 86528 89856 92736 93184 93288 94208 96768 97344 98304 100464 104832 104949 105984 106496 108836 110592 113022 113568 114688 114816 119808 123648 124384 127764 129024 129168 129792 133952 139104 139776 139932 141312 146016 147456 150696 151424 153088 157248 158976 159744 163254 164864 170352 172032 172224 173056 179712 185472 186368 186576 188416 193536 194688 196608 200928 209664 209898 211968 212992 217672 221184 226044 227136 229376 229632 239616 244881 247296 248768 255528 258048 258336 259584 267904 278208 279552 279864 282624 292032 294912 301392 302848 306176 314496 317952 319488 326508 329728 340704 344064 344448 346112 359424 370944 372736 373152 376832 387072 389376 401856 419328 419796 423936 425984 435344 442368 452088 454272 458752 459264 479232 489762 494592 497536 511056 516096 516672 519168 535808 556416 559104 559728 565248 584064 589824 602784 605696 612352 628992 635904 638976 653016 659456 681408 688128 688896 692224 718848 734643 741888 745472 746304 753664 774144 778752 803712 838656 839592 847872 851968 870688 884736 904176 908544 918528 958464 979524 989184 995072 1022112 1032192 1033344 1038336 1071616 1112832 1118208 1119456 1130496 1168128 1205568 1211392 1224704 1257984 1271808 1277952 1306032 1318912 1362816 1376256 1377792 1384448 1437696 1469286 1483776 1490944 1492608 1507328 1548288 1557504 1607424 1677312 1679184 1695744 1741376 1769472 1808352 1817088 1837056 1916928 1959048 1978368 1990144 2044224 2064384 2066688 2076672 2143232 2225664 2236416 2238912 2260992 2336256 2411136 2422784 2449408 2515968 2543616 2555904 2612064 2637824 2725632 2755584 2768896 2875392 2938572 2967552 2981888 2985216 3096576 3115008 3214848 3354624 3358368 3391488 3482752 3616704 3634176 3674112 3833856 3918096 3956736 3980288 4088448 4128768 4133376 4153344 4286464 4451328 4472832 4477824 4521984 4672512 4822272 4845568 4898816 5031936 5087232 5224128 5275648 5451264 5511168 5537792 5750784 5877144 5935104 5963776 5970432 6193152 6230016 6429696 6709248 6716736 6782976 6965504 7233408 7268352 7348224 7667712 7836192 7913472 7960576 8176896 8266752 8306688 8572928 8902656 8945664 8955648 9345024 9644544 9691136 9797632 10063872 10174464 10448256 10551296 10902528 11022336 11075584 11501568 11754288 11870208 11940864 12386304 12460032 12859392 13418496 13433472 13565952 13931008 14466816 14536704 14696448 15672384 15826944 15921152 16353792 16533504 16613376 17145856 17805312 17891328 17911296 18690048 19289088 19382272 19595264 20127744 20348928 20896512 21805056 22044672 23003136 23508576 23740416 23881728 24920064 25718784 26836992 26866944 27862016 28933632 29073408 29392896 31344768 31653888 31842304 32707584 33067008 33226752 34291712 35610624 35822592 37380096 38578176 38764544 40255488 40697856 41793024 43610112 44089344 47017152 47480832 47763456 49840128 51437568 53673984 53733888 55724032 57867264 58146816 58785792 62689536 63684608 65415168 66134016 68583424 71221248 71645184 74760192 77156352 77529088 80510976 83586048 87220224 88178688 94034304 94961664 95526912 99680256 102875136 107467776 111448064 115734528 116293632 125379072 127369216 130830336 132268032 137166848 142442496 143290368 149520384 154312704 161021952 167172096 174440448 176357376 188068608 191053824 205750272 214935552 222896128 231469056 232587264 250758144 254738432 261660672 264536064 284884992 286580736 299040768 308625408 334344192 348880896 376137216 382107648 411500544 429871104 445792256 462938112 501516288 523321344 529072128 573161472 617250816 668688384 697761792 752274432 764215296 859742208 891584512 925876224 1003032576 1046642688 1146322944 1234501632 1337376768 1504548864 1719484416 1783169024 1851752448 2006065152 2093285376 2292645888 2674753536 3009097728 3438968832 3703504896 4012130304 5349507072 6018195456 6877937664 8024260608 12036390912 16048521216 24072781824 48145563648
- Sum of all divisors σ(n): 184212426240
- Sum of proper divisors (its aliquot sum) s(n): 136066862592
- 48145563648 is an abundant number, because the sum of its proper divisors (136066862592) is greater than itself. Its abundance is 87921298944
Bases of 48145563648
- Binary: 1011001101011011001100000000000000002
- Hexadecimal: 0xB35B30000
- Base-36: M48MIO0
Squares and roots of 48145563648
- 48145563648 squared (481455636482) is 2317995298983619067904
- 48145563648 cubed (481455636483) is 111601190202980621543158465953792
-
The
square root of 48145563648 is 219420.9735827457 -
The
cube root of 48145563648 is 3637.9111825119
Scales and comparisons
How big is 48145563648?- 48,145,563,648 seconds is equal to 1,530 years, 45 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 48,145,563,648 would take you about three thousand and sixty-one 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 48145563648 cubic inches would be around 303.2 feet tall.
Recreational maths with 48145563648
- 48145563648 backwards is 84636554184
- 48145563648 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 48145563648's digits is 54
- More coming soon!
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